0.754 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.091 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.096 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.096 * [simplify]: Sending expressions to egg_math: (/ (- (+ h1 h0)) (- h1 h0)) 0.129 * * [progress]: iteration 1 / 4 0.129 * * * [progress]: picking best candidate 0.130 * * * * [pick]: Picked # 0.130 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.146 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.248 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.248 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.249 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.249 * [taylor]: Taking taylor expansion of -1 in n 0.249 * [backup-simplify]: Simplify -1 into -1 0.249 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.249 * [taylor]: Taking taylor expansion of (+ n f) in n 0.249 * [taylor]: Taking taylor expansion of n in n 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of f in n 0.250 * [backup-simplify]: Simplify f into f 0.250 * [taylor]: Taking taylor expansion of (- f n) in n 0.250 * [taylor]: Taking taylor expansion of f in n 0.250 * [backup-simplify]: Simplify f into f 0.250 * [taylor]: Taking taylor expansion of n in n 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (+ 0 f) into f 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ f 0) into f 0.252 * [backup-simplify]: Simplify (/ f f) into 1 0.252 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.252 * [taylor]: Taking taylor expansion of -1 in f 0.252 * [backup-simplify]: Simplify -1 into -1 0.252 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.252 * [taylor]: Taking taylor expansion of (+ n f) in f 0.252 * [taylor]: Taking taylor expansion of n in f 0.252 * [backup-simplify]: Simplify n into n 0.252 * [taylor]: Taking taylor expansion of f in f 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (- f n) in f 0.252 * [taylor]: Taking taylor expansion of f in f 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of n in f 0.252 * [backup-simplify]: Simplify n into n 0.252 * [backup-simplify]: Simplify (+ n 0) into n 0.252 * [backup-simplify]: Simplify (- n) into (- n) 0.252 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.252 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.252 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.252 * [taylor]: Taking taylor expansion of -1 in f 0.252 * [backup-simplify]: Simplify -1 into -1 0.252 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.252 * [taylor]: Taking taylor expansion of (+ n f) in f 0.253 * [taylor]: Taking taylor expansion of n in f 0.253 * [backup-simplify]: Simplify n into n 0.253 * [taylor]: Taking taylor expansion of f in f 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (- f n) in f 0.253 * [taylor]: Taking taylor expansion of f in f 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of n in f 0.253 * [backup-simplify]: Simplify n into n 0.253 * [backup-simplify]: Simplify (+ n 0) into n 0.253 * [backup-simplify]: Simplify (- n) into (- n) 0.253 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.253 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.254 * [backup-simplify]: Simplify (* -1 -1) into 1 0.254 * [taylor]: Taking taylor expansion of 1 in n 0.254 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (+ 0 1) into 1 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 1 0) into 1 0.257 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.257 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.257 * [taylor]: Taking taylor expansion of 2 in n 0.258 * [backup-simplify]: Simplify 2 into 2 0.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.258 * [taylor]: Taking taylor expansion of n in n 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.263 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.263 * [taylor]: Taking taylor expansion of 2 in n 0.264 * [backup-simplify]: Simplify 2 into 2 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.264 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.264 * [taylor]: Taking taylor expansion of n in n 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [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)))) 0.275 * [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))) 0.275 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.275 * [taylor]: Taking taylor expansion of 2 in n 0.275 * [backup-simplify]: Simplify 2 into 2 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.275 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.275 * [taylor]: Taking taylor expansion of n in n 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (* 1 1) into 1 0.276 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.287 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.287 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.287 * [taylor]: Taking taylor expansion of -1 in n 0.287 * [backup-simplify]: Simplify -1 into -1 0.287 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.287 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.287 * [taylor]: Taking taylor expansion of f in n 0.287 * [backup-simplify]: Simplify f into f 0.287 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.287 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.287 * [taylor]: Taking taylor expansion of n in n 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.288 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.288 * [taylor]: Taking taylor expansion of f in n 0.288 * [backup-simplify]: Simplify f into f 0.288 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.288 * [taylor]: Taking taylor expansion of (/ 1 n) 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 (+ 0 1) into 1 0.289 * [backup-simplify]: Simplify (- 1) into -1 0.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.290 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.290 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.290 * [taylor]: Taking taylor expansion of -1 in f 0.290 * [backup-simplify]: Simplify -1 into -1 0.290 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.290 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.290 * [taylor]: Taking taylor expansion of f in f 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.291 * [taylor]: Taking taylor expansion of n in f 0.291 * [backup-simplify]: Simplify n into n 0.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.291 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.291 * [taylor]: Taking taylor expansion of f in f 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.291 * [taylor]: Taking taylor expansion of n in f 0.291 * [backup-simplify]: Simplify n into n 0.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.292 * [taylor]: Taking taylor expansion of -1 in f 0.292 * [backup-simplify]: Simplify -1 into -1 0.292 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.292 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.292 * [taylor]: Taking taylor expansion of f in f 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.292 * [taylor]: Taking taylor expansion of n in f 0.292 * [backup-simplify]: Simplify n into n 0.292 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.292 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.292 * [taylor]: Taking taylor expansion of f in f 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.293 * [taylor]: Taking taylor expansion of n in f 0.293 * [backup-simplify]: Simplify n into n 0.293 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.293 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (* -1 1) into -1 0.294 * [taylor]: Taking taylor expansion of -1 in n 0.294 * [backup-simplify]: Simplify -1 into -1 0.294 * [backup-simplify]: Simplify -1 into -1 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.295 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.295 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.295 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.295 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.295 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.295 * [taylor]: Taking taylor expansion of 2 in n 0.295 * [backup-simplify]: Simplify 2 into 2 0.295 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.295 * [taylor]: Taking taylor expansion of n in n 0.295 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.300 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.300 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.300 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.300 * [taylor]: Taking taylor expansion of 2 in n 0.300 * [backup-simplify]: Simplify 2 into 2 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.300 * [taylor]: Taking taylor expansion of (pow n 2) 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 (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [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))) 0.309 * [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)))) 0.309 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.309 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.309 * [taylor]: Taking taylor expansion of 2 in n 0.309 * [backup-simplify]: Simplify 2 into 2 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.309 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.309 * [taylor]: Taking taylor expansion of n in n 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify -1 into -1 0.316 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.316 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.316 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.316 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.316 * [taylor]: Taking taylor expansion of f in n 0.316 * [backup-simplify]: Simplify f into f 0.316 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.316 * [taylor]: Taking taylor expansion of f in n 0.316 * [backup-simplify]: Simplify f into f 0.316 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.317 * [backup-simplify]: Simplify (+ 0 1) into 1 0.317 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.317 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.317 * [taylor]: Taking taylor expansion of f in f 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.318 * [taylor]: Taking taylor expansion of n in f 0.318 * [backup-simplify]: Simplify n into n 0.318 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.318 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.318 * [taylor]: Taking taylor expansion of n in f 0.318 * [backup-simplify]: Simplify n into n 0.318 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.318 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.318 * [taylor]: Taking taylor expansion of f in f 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [backup-simplify]: Simplify (+ 1 0) into 1 0.319 * [backup-simplify]: Simplify (- 1) into -1 0.319 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.319 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.319 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.319 * [taylor]: Taking taylor expansion of f in f 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.320 * [taylor]: Taking taylor expansion of n in f 0.320 * [backup-simplify]: Simplify n into n 0.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.320 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.320 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.320 * [taylor]: Taking taylor expansion of n in f 0.320 * [backup-simplify]: Simplify n into n 0.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.320 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.320 * [taylor]: Taking taylor expansion of f in f 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (- 1) into -1 0.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.321 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.321 * [taylor]: Taking taylor expansion of -1 in n 0.321 * [backup-simplify]: Simplify -1 into -1 0.321 * [backup-simplify]: Simplify -1 into -1 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.323 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.323 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.323 * [taylor]: Taking taylor expansion of 2 in n 0.323 * [backup-simplify]: Simplify 2 into 2 0.323 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.323 * [taylor]: Taking taylor expansion of n in n 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.327 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.327 * [taylor]: Taking taylor expansion of 2 in n 0.327 * [backup-simplify]: Simplify 2 into 2 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.327 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.327 * [taylor]: Taking taylor expansion of n in n 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (* 1 1) into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 2 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [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)))) 0.343 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 3)) in n 0.343 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify -1 into -1 0.350 * * * [progress]: simplifying candidates 0.352 * [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 0.353 * [simplify]: Sending expressions to egg_math: (- (log (- (+ h1 h0))) (log (- h1 h0))) (log (/ (- (+ h1 h0)) (- h1 h0))) (exp (/ (- (+ h1 h0)) (- h1 h0))) (/ (* (* (- (+ h1 h0)) (- (+ h1 h0))) (- (+ h1 h0))) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (* (* (/ (- (+ h1 h0)) (- h1 h0)) (/ (- (+ h1 h0)) (- h1 h0))) (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (- (- (+ h1 h0))) (- (- h1 h0)) (/ 0 (- h1 h0)) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ -1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ -1 (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ -1 (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (cbrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (- (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (- (cbrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (sqrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) (- (+ h1 h0))) (/ (+ h1 h0) (- h1 h0)) (/ (- (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (+ h1 h0)) 1) (/ (- (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) 1) (/ (- h1 h0) (cbrt (- (+ h1 h0)))) (/ (- h1 h0) (sqrt (- (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (cbrt (+ h1 h0))) (/ (- h1 h0) (sqrt (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (- (cbrt (+ h1 h0)))) (/ (- h1 h0) (- (sqrt (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- (+ h1 h0)) (- (pow h1 3) (pow h0 3))) (/ (- (+ h1 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (- h1 h0)) 1 -1 -1 1.556 * * * [progress]: adding candidates to table 1.778 * * [progress]: iteration 2 / 4 1.778 * * * [progress]: picking best candidate 1.787 * * * * [pick]: Picked # 1.787 * * * [progress]: localizing error 1.807 * * * [progress]: generating rewritten candidates 1.807 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.842 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.927 * * * [progress]: generating series expansions 1.927 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.927 * [backup-simplify]: Simplify (/ (- f n) (- (+ f n))) into (* -1 (/ (- f n) (+ n f))) 1.928 * [approximate]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in (f n) around 0 1.928 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 1.928 * [taylor]: Taking taylor expansion of -1 in n 1.928 * [backup-simplify]: Simplify -1 into -1 1.928 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.928 * [taylor]: Taking taylor expansion of (- f n) in n 1.928 * [taylor]: Taking taylor expansion of f in n 1.928 * [backup-simplify]: Simplify f into f 1.928 * [taylor]: Taking taylor expansion of n in n 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (+ n f) in n 1.928 * [taylor]: Taking taylor expansion of n in n 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of f in n 1.928 * [backup-simplify]: Simplify f into f 1.929 * [backup-simplify]: Simplify (- 0) into 0 1.929 * [backup-simplify]: Simplify (+ f 0) into f 1.929 * [backup-simplify]: Simplify (+ 0 f) into f 1.929 * [backup-simplify]: Simplify (/ f f) into 1 1.929 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 1.929 * [taylor]: Taking taylor expansion of -1 in f 1.929 * [backup-simplify]: Simplify -1 into -1 1.929 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.929 * [taylor]: Taking taylor expansion of (- f n) in f 1.929 * [taylor]: Taking taylor expansion of f in f 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [taylor]: Taking taylor expansion of n in f 1.929 * [backup-simplify]: Simplify n into n 1.929 * [taylor]: Taking taylor expansion of (+ n f) in f 1.929 * [taylor]: Taking taylor expansion of n in f 1.929 * [backup-simplify]: Simplify n into n 1.929 * [taylor]: Taking taylor expansion of f in f 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (- n) into (- n) 1.929 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.929 * [backup-simplify]: Simplify (+ n 0) into n 1.929 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.930 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 1.930 * [taylor]: Taking taylor expansion of -1 in f 1.930 * [backup-simplify]: Simplify -1 into -1 1.930 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.930 * [taylor]: Taking taylor expansion of (- f n) in f 1.930 * [taylor]: Taking taylor expansion of f in f 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [taylor]: Taking taylor expansion of n in f 1.930 * [backup-simplify]: Simplify n into n 1.930 * [taylor]: Taking taylor expansion of (+ n f) in f 1.930 * [taylor]: Taking taylor expansion of n in f 1.930 * [backup-simplify]: Simplify n into n 1.930 * [taylor]: Taking taylor expansion of f in f 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (- n) into (- n) 1.930 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.930 * [backup-simplify]: Simplify (+ n 0) into n 1.930 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.931 * [backup-simplify]: Simplify (* -1 -1) into 1 1.931 * [taylor]: Taking taylor expansion of 1 in n 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.932 * [backup-simplify]: Simplify (+ 1 0) into 1 1.932 * [backup-simplify]: Simplify (+ 0 1) into 1 1.932 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 1.933 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 1.933 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.933 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.933 * [taylor]: Taking taylor expansion of 2 in n 1.933 * [backup-simplify]: Simplify 2 into 2 1.933 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.933 * [taylor]: Taking taylor expansion of n in n 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.936 * [backup-simplify]: Simplify (- 0) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (- 0) into 0 1.936 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 1.938 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.938 * [taylor]: Taking taylor expansion of 2 in n 1.938 * [backup-simplify]: Simplify 2 into 2 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.938 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.938 * [taylor]: Taking taylor expansion of n in n 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.943 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 1.948 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.948 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.948 * [taylor]: Taking taylor expansion of 2 in n 1.948 * [backup-simplify]: Simplify 2 into 2 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.948 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.948 * [taylor]: Taking taylor expansion of n in n 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.949 * [backup-simplify]: Simplify (* 1 1) into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (- 0) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1.957 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.957 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 1.957 * [taylor]: Taking taylor expansion of -1 in n 1.957 * [backup-simplify]: Simplify -1 into -1 1.957 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.957 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.957 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.957 * [taylor]: Taking taylor expansion of f in n 1.957 * [backup-simplify]: Simplify f into f 1.957 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.957 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.957 * [taylor]: Taking taylor expansion of n in n 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.957 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.957 * [taylor]: Taking taylor expansion of f in n 1.957 * [backup-simplify]: Simplify f into f 1.957 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.957 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.957 * [taylor]: Taking taylor expansion of n in n 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [backup-simplify]: Simplify (- 1) into -1 1.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.958 * [backup-simplify]: Simplify (+ 0 1) into 1 1.959 * [backup-simplify]: Simplify (/ -1 1) into -1 1.959 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.959 * [taylor]: Taking taylor expansion of -1 in f 1.959 * [backup-simplify]: Simplify -1 into -1 1.959 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.959 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.959 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.959 * [taylor]: Taking taylor expansion of f in f 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.959 * [taylor]: Taking taylor expansion of n in f 1.959 * [backup-simplify]: Simplify n into n 1.959 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.959 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.959 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.959 * [taylor]: Taking taylor expansion of f in f 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.960 * [taylor]: Taking taylor expansion of n in f 1.960 * [backup-simplify]: Simplify n into n 1.960 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.960 * [backup-simplify]: Simplify (+ 1 0) into 1 1.960 * [backup-simplify]: Simplify (+ 1 0) into 1 1.960 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 1.960 * [taylor]: Taking taylor expansion of -1 in f 1.961 * [backup-simplify]: Simplify -1 into -1 1.961 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.961 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.961 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.961 * [taylor]: Taking taylor expansion of f in f 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.961 * [taylor]: Taking taylor expansion of n in f 1.961 * [backup-simplify]: Simplify n into n 1.961 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.961 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.961 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.961 * [taylor]: Taking taylor expansion of f in f 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.961 * [taylor]: Taking taylor expansion of n in f 1.961 * [backup-simplify]: Simplify n into n 1.961 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.962 * [backup-simplify]: Simplify (+ 1 0) into 1 1.962 * [backup-simplify]: Simplify (+ 1 0) into 1 1.962 * [backup-simplify]: Simplify (/ 1 1) into 1 1.962 * [backup-simplify]: Simplify (* -1 1) into -1 1.962 * [taylor]: Taking taylor expansion of -1 in n 1.962 * [backup-simplify]: Simplify -1 into -1 1.962 * [backup-simplify]: Simplify -1 into -1 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.963 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.964 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 1.964 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 1.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.964 * [taylor]: Taking taylor expansion of 2 in n 1.964 * [backup-simplify]: Simplify 2 into 2 1.964 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.964 * [taylor]: Taking taylor expansion of n in n 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.973 * [backup-simplify]: Simplify (- 0) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 1.975 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.975 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.975 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.975 * [taylor]: Taking taylor expansion of 2 in n 1.975 * [backup-simplify]: Simplify 2 into 2 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.975 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.975 * [taylor]: Taking taylor expansion of n in n 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (* 1 1) into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.978 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.981 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.983 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (* 2 (/ 1 (pow n 3))) 1.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.983 * [taylor]: Taking taylor expansion of 2 in n 1.983 * [backup-simplify]: Simplify 2 into 2 1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.983 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.983 * [taylor]: Taking taylor expansion of n in n 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (* 1 1) into 1 1.984 * [backup-simplify]: Simplify (* 1 1) into 1 1.984 * [backup-simplify]: Simplify (/ 1 1) into 1 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify -1 into -1 1.994 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 1.994 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.994 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.994 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.994 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.994 * [taylor]: Taking taylor expansion of n in n 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.995 * [taylor]: Taking taylor expansion of f in n 1.995 * [backup-simplify]: Simplify f into f 1.995 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.995 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.995 * [taylor]: Taking taylor expansion of f in n 1.995 * [backup-simplify]: Simplify f into f 1.995 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.995 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.995 * [taylor]: Taking taylor expansion of n in n 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (/ 1 1) into 1 1.996 * [backup-simplify]: Simplify (+ 1 0) into 1 1.996 * [backup-simplify]: Simplify (+ 0 1) into 1 1.997 * [backup-simplify]: Simplify (/ 1 1) into 1 1.997 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.997 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.997 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.997 * [taylor]: Taking taylor expansion of n in f 1.997 * [backup-simplify]: Simplify n into n 1.997 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.997 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.997 * [taylor]: Taking taylor expansion of f in f 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (/ 1 1) into 1 1.998 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.998 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.998 * [taylor]: Taking taylor expansion of f in f 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (/ 1 1) into 1 1.998 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.998 * [taylor]: Taking taylor expansion of n in f 1.998 * [backup-simplify]: Simplify n into n 1.998 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.999 * [backup-simplify]: Simplify (- 1) into -1 1.999 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.999 * [backup-simplify]: Simplify (+ 1 0) into 1 2.000 * [backup-simplify]: Simplify (/ -1 1) into -1 2.000 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.000 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.000 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.000 * [taylor]: Taking taylor expansion of n in f 2.000 * [backup-simplify]: Simplify n into n 2.000 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.000 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.000 * [taylor]: Taking taylor expansion of f in f 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.001 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.001 * [taylor]: Taking taylor expansion of f in f 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.001 * [taylor]: Taking taylor expansion of n in f 2.001 * [backup-simplify]: Simplify n into n 2.001 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.002 * [backup-simplify]: Simplify (- 1) into -1 2.002 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.003 * [backup-simplify]: Simplify (+ 1 0) into 1 2.003 * [backup-simplify]: Simplify (/ -1 1) into -1 2.003 * [taylor]: Taking taylor expansion of -1 in n 2.003 * [backup-simplify]: Simplify -1 into -1 2.003 * [backup-simplify]: Simplify -1 into -1 2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (- 0) into 0 2.004 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.005 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 2.006 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.006 * [taylor]: Taking taylor expansion of 2 in n 2.006 * [backup-simplify]: Simplify 2 into 2 2.006 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.006 * [taylor]: Taking taylor expansion of n in n 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (/ 1 1) into 1 2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.012 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.012 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.012 * [taylor]: Taking taylor expansion of 2 in n 2.012 * [backup-simplify]: Simplify 2 into 2 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.013 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.013 * [taylor]: Taking taylor expansion of n in n 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.013 * [backup-simplify]: Simplify (/ 1 1) into 1 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.018 * [backup-simplify]: Simplify (- 0) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 2.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.026 * [taylor]: Taking taylor expansion of 2 in n 2.026 * [backup-simplify]: Simplify 2 into 2 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.026 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.026 * [taylor]: Taking taylor expansion of n in n 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (* 1 1) into 1 2.027 * [backup-simplify]: Simplify (* 1 1) into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify -1 into -1 2.036 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.036 * [backup-simplify]: Simplify (/ 1 (/ (- f n) (- (+ f n)))) into (* -1 (/ (+ n f) (- f n))) 2.036 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.036 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.036 * [taylor]: Taking taylor expansion of -1 in n 2.036 * [backup-simplify]: Simplify -1 into -1 2.037 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.037 * [taylor]: Taking taylor expansion of (+ n f) in n 2.037 * [taylor]: Taking taylor expansion of n in n 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [taylor]: Taking taylor expansion of f in n 2.037 * [backup-simplify]: Simplify f into f 2.037 * [taylor]: Taking taylor expansion of (- f n) in n 2.037 * [taylor]: Taking taylor expansion of f in n 2.037 * [backup-simplify]: Simplify f into f 2.037 * [taylor]: Taking taylor expansion of n in n 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (+ 0 f) into f 2.037 * [backup-simplify]: Simplify (- 0) into 0 2.037 * [backup-simplify]: Simplify (+ f 0) into f 2.037 * [backup-simplify]: Simplify (/ f f) into 1 2.037 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.038 * [taylor]: Taking taylor expansion of -1 in f 2.038 * [backup-simplify]: Simplify -1 into -1 2.038 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.038 * [taylor]: Taking taylor expansion of (+ n f) in f 2.038 * [taylor]: Taking taylor expansion of n in f 2.038 * [backup-simplify]: Simplify n into n 2.038 * [taylor]: Taking taylor expansion of f in f 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [taylor]: Taking taylor expansion of (- f n) in f 2.038 * [taylor]: Taking taylor expansion of f in f 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [taylor]: Taking taylor expansion of n in f 2.038 * [backup-simplify]: Simplify n into n 2.038 * [backup-simplify]: Simplify (+ n 0) into n 2.038 * [backup-simplify]: Simplify (- n) into (- n) 2.038 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.038 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.038 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.038 * [taylor]: Taking taylor expansion of -1 in f 2.038 * [backup-simplify]: Simplify -1 into -1 2.038 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.038 * [taylor]: Taking taylor expansion of (+ n f) in f 2.038 * [taylor]: Taking taylor expansion of n in f 2.038 * [backup-simplify]: Simplify n into n 2.038 * [taylor]: Taking taylor expansion of f in f 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.039 * [taylor]: Taking taylor expansion of (- f n) in f 2.039 * [taylor]: Taking taylor expansion of f in f 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [taylor]: Taking taylor expansion of n in f 2.039 * [backup-simplify]: Simplify n into n 2.039 * [backup-simplify]: Simplify (+ n 0) into n 2.039 * [backup-simplify]: Simplify (- n) into (- n) 2.039 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.039 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.039 * [backup-simplify]: Simplify (* -1 -1) into 1 2.039 * [taylor]: Taking taylor expansion of 1 in n 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (+ 0 1) into 1 2.040 * [backup-simplify]: Simplify (- 0) into 0 2.041 * [backup-simplify]: Simplify (+ 1 0) into 1 2.041 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.041 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.042 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.042 * [taylor]: Taking taylor expansion of 2 in n 2.042 * [backup-simplify]: Simplify 2 into 2 2.042 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.042 * [taylor]: Taking taylor expansion of n in n 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (/ 1 1) into 1 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (- 0) into 0 2.045 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.046 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.046 * [taylor]: Taking taylor expansion of 2 in n 2.046 * [backup-simplify]: Simplify 2 into 2 2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.046 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.046 * [taylor]: Taking taylor expansion of n in n 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (* 1 1) into 1 2.047 * [backup-simplify]: Simplify (/ 1 1) into 1 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.054 * [backup-simplify]: Simplify (- 0) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.056 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.056 * [taylor]: Taking taylor expansion of 2 in n 2.056 * [backup-simplify]: Simplify 2 into 2 2.056 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.056 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.056 * [taylor]: Taking taylor expansion of n in n 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (* 1 1) into 1 2.057 * [backup-simplify]: Simplify (* 1 1) into 1 2.057 * [backup-simplify]: Simplify (/ 1 1) into 1 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.067 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.067 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.067 * [taylor]: Taking taylor expansion of -1 in n 2.067 * [backup-simplify]: Simplify -1 into -1 2.067 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.067 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.067 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.067 * [taylor]: Taking taylor expansion of f in n 2.067 * [backup-simplify]: Simplify f into f 2.067 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.067 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.067 * [taylor]: Taking taylor expansion of n in n 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (/ 1 1) into 1 2.068 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.068 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.068 * [taylor]: Taking taylor expansion of f in n 2.068 * [backup-simplify]: Simplify f into f 2.068 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.068 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.068 * [taylor]: Taking taylor expansion of n in n 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (/ 1 1) into 1 2.069 * [backup-simplify]: Simplify (+ 0 1) into 1 2.070 * [backup-simplify]: Simplify (- 1) into -1 2.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.071 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.071 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.071 * [taylor]: Taking taylor expansion of -1 in f 2.071 * [backup-simplify]: Simplify -1 into -1 2.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.071 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.071 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.071 * [taylor]: Taking taylor expansion of f in f 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (/ 1 1) into 1 2.071 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.071 * [taylor]: Taking taylor expansion of n in f 2.071 * [backup-simplify]: Simplify n into n 2.071 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.071 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.071 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.071 * [taylor]: Taking taylor expansion of f in f 2.071 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (/ 1 1) into 1 2.072 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.072 * [taylor]: Taking taylor expansion of n in f 2.072 * [backup-simplify]: Simplify n into n 2.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.072 * [backup-simplify]: Simplify (+ 1 0) into 1 2.073 * [backup-simplify]: Simplify (+ 1 0) into 1 2.073 * [backup-simplify]: Simplify (/ 1 1) into 1 2.073 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.073 * [taylor]: Taking taylor expansion of -1 in f 2.073 * [backup-simplify]: Simplify -1 into -1 2.073 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.073 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.073 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.074 * [taylor]: Taking taylor expansion of f in f 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (/ 1 1) into 1 2.074 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.074 * [taylor]: Taking taylor expansion of n in f 2.074 * [backup-simplify]: Simplify n into n 2.074 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.074 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.074 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.074 * [taylor]: Taking taylor expansion of f in f 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (/ 1 1) into 1 2.075 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.075 * [taylor]: Taking taylor expansion of n in f 2.075 * [backup-simplify]: Simplify n into n 2.075 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.075 * [backup-simplify]: Simplify (+ 1 0) into 1 2.076 * [backup-simplify]: Simplify (+ 1 0) into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [backup-simplify]: Simplify (* -1 1) into -1 2.077 * [taylor]: Taking taylor expansion of -1 in n 2.077 * [backup-simplify]: Simplify -1 into -1 2.077 * [backup-simplify]: Simplify -1 into -1 2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.078 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.079 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.079 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.079 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.079 * [taylor]: Taking taylor expansion of 2 in n 2.079 * [backup-simplify]: Simplify 2 into 2 2.079 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.079 * [taylor]: Taking taylor expansion of n in n 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.082 * [backup-simplify]: Simplify (- 0) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.085 * [backup-simplify]: Simplify (- 0) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.087 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.087 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.087 * [taylor]: Taking taylor expansion of 2 in n 2.087 * [backup-simplify]: Simplify 2 into 2 2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.087 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.087 * [taylor]: Taking taylor expansion of n in n 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (* 1 1) into 1 2.088 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.093 * [backup-simplify]: Simplify (- 0) into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.095 * [backup-simplify]: Simplify (- 0) into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.098 * [backup-simplify]: Simplify (- 0) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.101 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.101 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.101 * [taylor]: Taking taylor expansion of 2 in n 2.101 * [backup-simplify]: Simplify 2 into 2 2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.101 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.101 * [taylor]: Taking taylor expansion of n in n 2.101 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (* 1 1) into 1 2.102 * [backup-simplify]: Simplify (* 1 1) into 1 2.103 * [backup-simplify]: Simplify (/ 1 1) into 1 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (- 0) into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify -1 into -1 2.118 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.118 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.118 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.119 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.119 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.119 * [taylor]: Taking taylor expansion of f in n 2.119 * [backup-simplify]: Simplify f into f 2.119 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.119 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.119 * [taylor]: Taking taylor expansion of n in n 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (/ 1 1) into 1 2.119 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.119 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.119 * [taylor]: Taking taylor expansion of n in n 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (/ 1 1) into 1 2.120 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.120 * [taylor]: Taking taylor expansion of f in n 2.120 * [backup-simplify]: Simplify f into f 2.120 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.121 * [backup-simplify]: Simplify (+ 0 1) into 1 2.121 * [backup-simplify]: Simplify (+ 1 0) into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.122 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.122 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.122 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.122 * [taylor]: Taking taylor expansion of f in f 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (/ 1 1) into 1 2.122 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.122 * [taylor]: Taking taylor expansion of n in f 2.122 * [backup-simplify]: Simplify n into n 2.122 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.122 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.122 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.122 * [taylor]: Taking taylor expansion of n in f 2.122 * [backup-simplify]: Simplify n into n 2.122 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.122 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.122 * [taylor]: Taking taylor expansion of f in f 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (/ 1 1) into 1 2.123 * [backup-simplify]: Simplify (+ 1 0) into 1 2.123 * [backup-simplify]: Simplify (- 1) into -1 2.123 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.124 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.124 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.124 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.124 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.124 * [taylor]: Taking taylor expansion of f in f 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.124 * [taylor]: Taking taylor expansion of n in f 2.124 * [backup-simplify]: Simplify n into n 2.124 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.124 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.124 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.124 * [taylor]: Taking taylor expansion of n in f 2.124 * [backup-simplify]: Simplify n into n 2.124 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.124 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.124 * [taylor]: Taking taylor expansion of f in f 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.125 * [backup-simplify]: Simplify (+ 1 0) into 1 2.125 * [backup-simplify]: Simplify (- 1) into -1 2.125 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.125 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.125 * [taylor]: Taking taylor expansion of -1 in n 2.125 * [backup-simplify]: Simplify -1 into -1 2.125 * [backup-simplify]: Simplify -1 into -1 2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (- 0) into 0 2.127 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.127 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.127 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.127 * [taylor]: Taking taylor expansion of 2 in n 2.127 * [backup-simplify]: Simplify 2 into 2 2.127 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.127 * [taylor]: Taking taylor expansion of n in n 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (/ 1 1) into 1 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.128 * [backup-simplify]: Simplify (- 0) into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (- 0) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.131 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.131 * [taylor]: Taking taylor expansion of 2 in n 2.131 * [backup-simplify]: Simplify 2 into 2 2.131 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.131 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.131 * [taylor]: Taking taylor expansion of n in n 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (* 1 1) into 1 2.131 * [backup-simplify]: Simplify (/ 1 1) into 1 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.134 * [backup-simplify]: Simplify (- 0) into 0 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.135 * [backup-simplify]: Simplify (- 0) into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (- 0) into 0 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.138 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.138 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.138 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.138 * [taylor]: Taking taylor expansion of 2 in n 2.138 * [backup-simplify]: Simplify 2 into 2 2.138 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.138 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.138 * [taylor]: Taking taylor expansion of n in n 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (* 1 1) into 1 2.139 * [backup-simplify]: Simplify (* 1 1) into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (- 0) into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify -1 into -1 2.144 * * * [progress]: simplifying candidates 2.151 * [simplify]: Simplifying: (- (log (- f n)) (log (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (exp (/ (- f n) (- (+ f n)))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (- (+ f n)) (- (+ f n))) (- (+ f n)))) (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n)))) (* (* (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n)))) (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (- (- f n)) (- (- (+ f n))) (/ f (- (+ f n))) (/ n (- (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (cbrt (- f n)) (cbrt (- (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (- (+ f n)))) (/ (cbrt (- f n)) (sqrt (- (+ f n)))) (/ (* (cbrt (- f n)) (cbrt 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(cbrt (- h1 h0)) (sqrt (- (+ h1 h0))))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ 1 (/ (cbrt (- h1 h0)) (- (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) -1)) (/ 1 (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))) (/ 1 (/ (cbrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (- (sqrt (+ h1 h0))))) (/ 1 (/ (cbrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (- 1))) (/ 1 (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (- 1))) (/ 1 (/ (cbrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (cbrt (- h1 h0)) (- (cbrt (+ h1 h0))))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (+ h1 h0)))) (/ 1 (/ (cbrt (- h1 h0)) (- (sqrt (+ h1 h0))))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ 1 (/ (cbrt (- h1 h0)) (- (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ 1 (/ (cbrt (- h1 h0)) (- (+ h1 h0)))) (/ 1 (/ (sqrt (- h1 h0)) (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))))) (/ 1 (/ (sqrt (- h1 h0)) (cbrt (- (+ h1 h0))))) (/ 1 (/ (sqrt (- h1 h0)) (sqrt (- (+ h1 h0))))) (/ 1 (/ (sqrt (- h1 h0)) (sqrt (- (+ h1 h0))))) (/ 1 (/ (sqrt (- h1 h0)) 1)) (/ 1 (/ (sqrt (- h1 h0)) (- (+ h1 h0)))) (/ 1 (/ (sqrt (- h1 h0)) -1)) (/ 1 (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (sqrt (- h1 h0)) (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))) (/ 1 (/ (sqrt (- h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h1 h0)) (- (sqrt (+ h1 h0))))) (/ 1 (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h1 h0)) (- 1))) (/ 1 (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (sqrt (- h1 h0)) (- 1))) (/ 1 (/ (sqrt (- h1 h0)) (+ h1 h0))) (/ 1 (/ (sqrt (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (sqrt (- h1 h0)) (- (cbrt (+ h1 h0))))) (/ 1 (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h1 h0)) (- (sqrt (+ h1 h0))))) (/ 1 (/ (sqrt (- h1 h0)) 1)) (/ 1 (/ (sqrt (- h1 h0)) (- (+ h1 h0)))) (/ 1 (/ (sqrt (- h1 h0)) 1)) (/ 1 (/ (sqrt (- h1 h0)) (- (+ h1 h0)))) (/ 1 (/ 1 (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))))) (/ 1 (/ (- h1 h0) (cbrt (- (+ h1 h0))))) (/ 1 (/ 1 (sqrt (- (+ h1 h0))))) (/ 1 (/ (- h1 h0) (sqrt (- (+ h1 h0))))) (/ 1 (/ 1 1)) (/ 1 (/ (- h1 h0) (- (+ h1 h0)))) (/ 1 (/ 1 -1)) (/ 1 (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ 1 (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))) (/ 1 (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ 1 (/ 1 (- (sqrt (+ h1 h0))))) (/ 1 (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ 1 (/ 1 (- 1))) (/ 1 (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ 1 (- 1))) (/ 1 (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (- h1 h0) (- (cbrt (+ h1 h0))))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ 1 (/ (- h1 h0) (- (sqrt (+ h1 h0))))) (/ 1 (/ 1 1)) (/ 1 (/ (- h1 h0) (- (+ h1 h0)))) (/ 1 (/ 1 1)) (/ 1 (/ (- h1 h0) (- (+ h1 h0)))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))))) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (cbrt (- (+ h1 h0))))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (sqrt (- (+ h1 h0))))) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (sqrt (- (+ h1 h0))))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (- (+ h1 h0)))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) -1)) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (cbrt (+ h1 h0)))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (- (sqrt (+ h1 h0))))) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (- 1))) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (- 1))) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (+ h1 h0))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (- (cbrt (+ h1 h0))))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (- (sqrt (+ h1 h0))))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (- (+ h1 h0)))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ 1 (/ (- (sqrt h1) (sqrt h0)) (- (+ h1 h0)))) (/ 1 (/ 1 (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))))) (/ 1 (/ (- h1 h0) (cbrt (- (+ h1 h0))))) (/ 1 (/ 1 (sqrt (- (+ h1 h0))))) (/ 1 (/ (- h1 h0) (sqrt (- (+ h1 h0))))) (/ 1 (/ 1 1)) (/ 1 (/ (- h1 h0) (- (+ h1 h0)))) (/ 1 (/ 1 -1)) (/ 1 (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ 1 (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))) (/ 1 (/ (- h1 h0) (cbrt (+ h1 h0)))) (/ 1 (/ 1 (- (sqrt (+ h1 h0))))) (/ 1 (/ (- h1 h0) (sqrt (+ h1 h0)))) (/ 1 (/ 1 (- 1))) (/ 1 (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ 1 (- 1))) (/ 1 (/ (- h1 h0) (+ h1 h0))) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (- h1 h0) (- (cbrt (+ h1 h0))))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ 1 (/ (- h1 h0) (- (sqrt (+ h1 h0))))) (/ 1 (/ 1 1)) (/ 1 (/ (- h1 h0) (- (+ h1 h0)))) (/ 1 (/ 1 1)) (/ 1 (/ (- h1 h0) (- (+ h1 h0)))) (/ 1 1) (/ 1 (/ (- h1 h0) (- (+ h1 h0)))) (/ 1 (- h1 h0)) (/ 1 (/ 1 (- (+ h1 h0)))) (/ 1 (/ (- h1 h0) (- (+ (pow h1 3) (pow h0 3))))) (/ 1 (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (/ 1 (/ (- h1 h0) (- (- (* h1 h1) (* h0 h0))))) (/ 1 (- h1 h0)) (/ 1 (/ (- h1 h0) (- (+ h1 h0)))) (/ (/ (- h1 h0) (- (+ h1 h0))) 1) (/ 1 (* (cbrt (/ (- h1 h0) (- (+ h1 h0)))) (cbrt (/ (- h1 h0) (- (+ h1 h0)))))) (/ 1 (sqrt (/ (- h1 h0) (- (+ h1 h0))))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (- (+ h1 h0))))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) -1)) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (- (sqrt (+ h1 h0))))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (- 1))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (- 1))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (+ h1 h0)))) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ 1 (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ 1 (/ (sqrt (- h1 h0)) (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))))) (/ 1 (/ (sqrt (- h1 h0)) (sqrt (- (+ h1 h0))))) (/ 1 (/ (sqrt (- h1 h0)) 1)) (/ 1 (/ (sqrt (- h1 h0)) -1)) (/ 1 (/ (sqrt (- h1 h0)) (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))) (/ 1 (/ (sqrt (- h1 h0)) (- (sqrt (+ h1 h0))))) (/ 1 (/ (sqrt (- h1 h0)) (- 1))) (/ 1 (/ (sqrt (- h1 h0)) (- 1))) (/ 1 (/ (sqrt (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (sqrt (- h1 h0)) 1)) (/ 1 (/ (sqrt (- h1 h0)) 1)) (/ 1 (/ 1 (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))))) (/ 1 (/ 1 (sqrt (- (+ h1 h0))))) (/ 1 (/ 1 1)) (/ 1 (/ 1 -1)) (/ 1 (/ 1 (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))) (/ 1 (/ 1 (- (sqrt (+ h1 h0))))) (/ 1 (/ 1 (- 1))) (/ 1 (/ 1 (- 1))) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (sqrt (- (+ h1 h0))))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) -1)) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (- (sqrt (+ h1 h0))))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (- 1))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (- 1))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ 1 (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ 1 (/ 1 (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))))) (/ 1 (/ 1 (sqrt (- (+ h1 h0))))) (/ 1 (/ 1 1)) (/ 1 (/ 1 -1)) (/ 1 (/ 1 (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))))) (/ 1 (/ 1 (- (sqrt (+ h1 h0))))) (/ 1 (/ 1 (- 1))) (/ 1 (/ 1 (- 1))) (/ 1 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ 1 (/ 1 (sqrt (+ h1 h0)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- h1 h0)) (/ 1 (/ (- h1 h0) (- (+ (pow h1 3) (pow h0 3))))) (/ 1 (/ (- h1 h0) (- (- (* h1 h1) (* h0 h0))))) (/ (/ (- h1 h0) (- (+ h1 h0))) (cbrt 1)) (/ (/ (- h1 h0) (- (+ h1 h0))) (sqrt 1)) (/ (/ (- h1 h0) (- (+ h1 h0))) 1) (/ 1 (- h1 h0)) 1 -1 -1 1 -1 -1 3.867 * * * [progress]: adding candidates to table 4.642 * * [progress]: iteration 3 / 4 4.642 * * * [progress]: picking best candidate 4.653 * * * * [pick]: Picked # 4.654 * * * [progress]: localizing error 4.671 * * * [progress]: generating rewritten candidates 4.671 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 4.717 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.887 * * * [progress]: generating series expansions 4.888 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 4.888 * [backup-simplify]: Simplify (/ (sqrt (+ f n)) (- f n)) into (* (sqrt (+ n f)) (/ 1 (- f n))) 4.888 * [approximate]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in (f n) around 0 4.888 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in n 4.888 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 4.888 * [taylor]: Taking taylor expansion of (+ n f) in n 4.888 * [taylor]: Taking taylor expansion of n in n 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 1 into 1 4.888 * [taylor]: Taking taylor expansion of f in n 4.888 * [backup-simplify]: Simplify f into f 4.888 * [backup-simplify]: Simplify (+ 0 f) into f 4.889 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 4.889 * [backup-simplify]: Simplify (+ 1 0) into 1 4.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 4.889 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 4.890 * [taylor]: Taking taylor expansion of (- f n) in n 4.890 * [taylor]: Taking taylor expansion of f in n 4.890 * [backup-simplify]: Simplify f into f 4.890 * [taylor]: Taking taylor expansion of n in n 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 1 into 1 4.890 * [backup-simplify]: Simplify (- 0) into 0 4.890 * [backup-simplify]: Simplify (+ f 0) into f 4.890 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.890 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in f 4.890 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 4.890 * [taylor]: Taking taylor expansion of (+ n f) in f 4.890 * [taylor]: Taking taylor expansion of n in f 4.890 * [backup-simplify]: Simplify n into n 4.890 * [taylor]: Taking taylor expansion of f in f 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 1 into 1 4.890 * [backup-simplify]: Simplify (+ n 0) into n 4.891 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 4.891 * [backup-simplify]: Simplify (+ 0 1) into 1 4.891 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 4.891 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 4.891 * [taylor]: Taking taylor expansion of (- f n) in f 4.891 * [taylor]: Taking taylor expansion of f in f 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [taylor]: Taking taylor expansion of n in f 4.891 * [backup-simplify]: Simplify n into n 4.891 * [backup-simplify]: Simplify (- n) into (- n) 4.891 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.891 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 4.892 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in f 4.892 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 4.892 * [taylor]: Taking taylor expansion of (+ n f) in f 4.892 * [taylor]: Taking taylor expansion of n in f 4.892 * [backup-simplify]: Simplify n into n 4.892 * [taylor]: Taking taylor expansion of f in f 4.892 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [backup-simplify]: Simplify (+ n 0) into n 4.892 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 4.892 * [backup-simplify]: Simplify (+ 0 1) into 1 4.892 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 4.892 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 4.892 * [taylor]: Taking taylor expansion of (- f n) in f 4.892 * [taylor]: Taking taylor expansion of f in f 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [taylor]: Taking taylor expansion of n in f 4.893 * [backup-simplify]: Simplify n into n 4.893 * [backup-simplify]: Simplify (- n) into (- n) 4.893 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.893 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 4.893 * [backup-simplify]: Simplify (* (sqrt n) (/ -1 n)) into (* -1 (sqrt (/ 1 n))) 4.893 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 n))) in n 4.893 * [taylor]: Taking taylor expansion of -1 in n 4.893 * [backup-simplify]: Simplify -1 into -1 4.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.893 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.893 * [taylor]: Taking taylor expansion of n in n 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (/ 1 1) into 1 4.894 * [backup-simplify]: Simplify (sqrt 0) into 0 4.896 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.897 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 4.897 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.898 * [backup-simplify]: Simplify (- 0) into 0 4.898 * [backup-simplify]: Simplify (+ 1 0) into 1 4.898 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 4.899 * [backup-simplify]: Simplify (+ (* (sqrt n) (- (/ 1 (pow n 2)))) (* (* 1/2 (sqrt (/ 1 n))) (/ -1 n))) into (- (* 3/2 (sqrt (/ 1 (pow n 3))))) 4.899 * [taylor]: Taking taylor expansion of (- (* 3/2 (sqrt (/ 1 (pow n 3))))) in n 4.899 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt (/ 1 (pow n 3)))) in n 4.899 * [taylor]: Taking taylor expansion of 3/2 in n 4.899 * [backup-simplify]: Simplify 3/2 into 3/2 4.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 4.899 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.899 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.899 * [taylor]: Taking taylor expansion of n in n 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.900 * [backup-simplify]: Simplify (* 1 1) into 1 4.900 * [backup-simplify]: Simplify (* 1 1) into 1 4.900 * [backup-simplify]: Simplify (/ 1 1) into 1 4.901 * [backup-simplify]: Simplify (sqrt 0) into 0 4.902 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.909 * [backup-simplify]: Simplify (+ (* 3/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.910 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 4.911 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.914 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.916 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.917 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.918 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 4.919 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) 4.919 * [approximate]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 4.919 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in n 4.919 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 4.919 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.919 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.919 * [taylor]: Taking taylor expansion of f in n 4.919 * [backup-simplify]: Simplify f into f 4.919 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.919 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.919 * [taylor]: Taking taylor expansion of n in n 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 1 into 1 4.919 * [backup-simplify]: Simplify (/ 1 1) into 1 4.920 * [backup-simplify]: Simplify (- 1) into -1 4.920 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.921 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 4.921 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.921 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.921 * [taylor]: Taking taylor expansion of f in n 4.921 * [backup-simplify]: Simplify f into f 4.921 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.921 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.921 * [taylor]: Taking taylor expansion of n in n 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 1 into 1 4.921 * [backup-simplify]: Simplify (/ 1 1) into 1 4.922 * [backup-simplify]: Simplify (+ 0 1) into 1 4.922 * [backup-simplify]: Simplify (sqrt 0) into 0 4.923 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.923 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in f 4.924 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 4.924 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.924 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.924 * [taylor]: Taking taylor expansion of f in f 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [backup-simplify]: Simplify (/ 1 1) into 1 4.924 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.924 * [taylor]: Taking taylor expansion of n in f 4.924 * [backup-simplify]: Simplify n into n 4.924 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.925 * [backup-simplify]: Simplify (+ 1 0) into 1 4.925 * [backup-simplify]: Simplify (/ 1 1) into 1 4.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 4.925 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.925 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.925 * [taylor]: Taking taylor expansion of f in f 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 1 into 1 4.926 * [backup-simplify]: Simplify (/ 1 1) into 1 4.926 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.926 * [taylor]: Taking taylor expansion of n in f 4.926 * [backup-simplify]: Simplify n into n 4.926 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.926 * [backup-simplify]: Simplify (+ 1 0) into 1 4.927 * [backup-simplify]: Simplify (sqrt 0) into 0 4.928 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.928 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in f 4.928 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 4.928 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.928 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.928 * [taylor]: Taking taylor expansion of f in f 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (/ 1 1) into 1 4.928 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.928 * [taylor]: Taking taylor expansion of n in f 4.928 * [backup-simplify]: Simplify n into n 4.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.929 * [backup-simplify]: Simplify (+ 1 0) into 1 4.929 * [backup-simplify]: Simplify (/ 1 1) into 1 4.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 4.929 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.929 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.929 * [taylor]: Taking taylor expansion of f in f 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.930 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.930 * [taylor]: Taking taylor expansion of n in f 4.930 * [backup-simplify]: Simplify n into n 4.930 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.930 * [backup-simplify]: Simplify (+ 1 0) into 1 4.931 * [backup-simplify]: Simplify (sqrt 0) into 0 4.931 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.932 * [backup-simplify]: Simplify (* 1 0) into 0 4.932 * [taylor]: Taking taylor expansion of 0 in n 4.932 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.932 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.932 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 4.933 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (/ 1 n) 0)) into (- +nan.0) 4.933 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.933 * [taylor]: Taking taylor expansion of +nan.0 in n 4.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.933 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.933 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.933 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.935 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 4.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.936 * [backup-simplify]: Simplify (- 0) into 0 4.936 * [backup-simplify]: Simplify (+ 0 0) into 0 4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 4.936 * [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))) 4.936 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 4.936 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 4.937 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.937 * [taylor]: Taking taylor expansion of +nan.0 in n 4.937 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.937 * [taylor]: Taking taylor expansion of n in n 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (/ 1 1) into 1 4.937 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.937 * [taylor]: Taking taylor expansion of +nan.0 in n 4.937 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 4.938 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.938 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 4.939 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 4.939 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.939 * [backup-simplify]: Simplify (- 0) into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.940 * [backup-simplify]: Simplify (+ 0 0) into 0 4.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.941 * [backup-simplify]: Simplify (- 0) into 0 4.942 * [backup-simplify]: Simplify (+ 0 0) into 0 4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 3)) 4.943 * [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))))) 4.943 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 4.943 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 4.943 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 4.943 * [taylor]: Taking taylor expansion of +nan.0 in n 4.943 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.943 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.943 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.943 * [taylor]: Taking taylor expansion of n in n 4.943 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 1 into 1 4.944 * [backup-simplify]: Simplify (* 1 1) into 1 4.944 * [backup-simplify]: Simplify (/ 1 1) into 1 4.944 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 4.944 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 4.944 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.944 * [taylor]: Taking taylor expansion of +nan.0 in n 4.944 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.944 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.944 * [taylor]: Taking taylor expansion of n in n 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 1 into 1 4.944 * [backup-simplify]: Simplify (/ 1 1) into 1 4.944 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.944 * [taylor]: Taking taylor expansion of +nan.0 in n 4.944 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.947 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.947 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 4.948 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.948 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 4.949 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 4.949 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 4.949 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 4.950 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.951 * [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)))))))) 4.951 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) 4.952 * [approximate]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.952 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in n 4.952 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 4.952 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 4.952 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.952 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.952 * [taylor]: Taking taylor expansion of f in n 4.952 * [backup-simplify]: Simplify f into f 4.952 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.952 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.952 * [taylor]: Taking taylor expansion of n in n 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [backup-simplify]: Simplify (/ 1 1) into 1 4.953 * [backup-simplify]: Simplify (+ 0 1) into 1 4.953 * [backup-simplify]: Simplify (- 1) into -1 4.953 * [backup-simplify]: Simplify (sqrt 0) into 0 4.954 * [backup-simplify]: Simplify (- 1) into -1 4.955 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.955 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.955 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.955 * [taylor]: Taking taylor expansion of n in n 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 1 into 1 4.956 * [backup-simplify]: Simplify (/ 1 1) into 1 4.956 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.956 * [taylor]: Taking taylor expansion of f in n 4.956 * [backup-simplify]: Simplify f into f 4.956 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.956 * [backup-simplify]: Simplify (+ 1 0) into 1 4.957 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 4.957 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 4.957 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 4.957 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 4.957 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.957 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.957 * [taylor]: Taking taylor expansion of f in f 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [backup-simplify]: Simplify (/ 1 1) into 1 4.957 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.957 * [taylor]: Taking taylor expansion of n in f 4.957 * [backup-simplify]: Simplify n into n 4.957 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.958 * [backup-simplify]: Simplify (+ 1 0) into 1 4.958 * [backup-simplify]: Simplify (- 1) into -1 4.959 * [backup-simplify]: Simplify (sqrt 0) into 0 4.959 * [backup-simplify]: Simplify (- 1) into -1 4.960 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.960 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.960 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.960 * [taylor]: Taking taylor expansion of n in f 4.960 * [backup-simplify]: Simplify n into n 4.960 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.960 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.960 * [taylor]: Taking taylor expansion of f in f 4.960 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 1 into 1 4.961 * [backup-simplify]: Simplify (/ 1 1) into 1 4.961 * [backup-simplify]: Simplify (- 1) into -1 4.962 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.962 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 4.962 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 4.962 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 4.962 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 4.962 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.962 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.962 * [taylor]: Taking taylor expansion of f in f 4.962 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify 1 into 1 4.963 * [backup-simplify]: Simplify (/ 1 1) into 1 4.963 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.963 * [taylor]: Taking taylor expansion of n in f 4.963 * [backup-simplify]: Simplify n into n 4.963 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.963 * [backup-simplify]: Simplify (+ 1 0) into 1 4.964 * [backup-simplify]: Simplify (- 1) into -1 4.964 * [backup-simplify]: Simplify (sqrt 0) into 0 4.964 * [backup-simplify]: Simplify (- 1) into -1 4.966 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.966 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.966 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.966 * [taylor]: Taking taylor expansion of n in f 4.966 * [backup-simplify]: Simplify n into n 4.966 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.966 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.966 * [taylor]: Taking taylor expansion of f in f 4.966 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify 1 into 1 4.966 * [backup-simplify]: Simplify (/ 1 1) into 1 4.967 * [backup-simplify]: Simplify (- 1) into -1 4.967 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.968 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 4.968 * [taylor]: Taking taylor expansion of +nan.0 in n 4.968 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.968 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.969 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.969 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.970 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 4.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.971 * [backup-simplify]: Simplify (- 0) into 0 4.971 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.972 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ (/ 1 n) (- +nan.0))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 4.972 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 4.972 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 4.972 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.972 * [taylor]: Taking taylor expansion of +nan.0 in n 4.972 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.972 * [taylor]: Taking taylor expansion of n in n 4.972 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify 1 into 1 4.973 * [backup-simplify]: Simplify (/ 1 1) into 1 4.973 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.973 * [taylor]: Taking taylor expansion of +nan.0 in n 4.973 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.976 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 4.976 * [backup-simplify]: Simplify (- 0) into 0 4.976 * [backup-simplify]: Simplify (+ 0 0) into 0 4.977 * [backup-simplify]: Simplify (- 0) into 0 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.978 * [backup-simplify]: Simplify (+ 0 0) into 0 4.979 * [backup-simplify]: Simplify (- 0) into 0 4.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 4.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.981 * [backup-simplify]: Simplify (- 0) into 0 4.981 * [backup-simplify]: Simplify (+ 0 0) into 0 4.984 * [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))))) 4.984 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 4.984 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 4.984 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 4.984 * [taylor]: Taking taylor expansion of +nan.0 in n 4.984 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.984 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.984 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.984 * [taylor]: Taking taylor expansion of n in n 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify 1 into 1 4.984 * [backup-simplify]: Simplify (* 1 1) into 1 4.985 * [backup-simplify]: Simplify (/ 1 1) into 1 4.985 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 4.985 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 4.985 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.985 * [taylor]: Taking taylor expansion of +nan.0 in n 4.985 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.985 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.985 * [taylor]: Taking taylor expansion of n in n 4.985 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (/ 1 1) into 1 4.985 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.985 * [taylor]: Taking taylor expansion of +nan.0 in n 4.985 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.991 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 4.995 * [backup-simplify]: Simplify (- 0) into 0 4.995 * [backup-simplify]: Simplify (+ 0 0) into 0 4.996 * [backup-simplify]: Simplify (- 0) into 0 4.996 * [backup-simplify]: Simplify (+ 0 0) into 0 4.996 * [backup-simplify]: Simplify (- 0) into 0 4.996 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.998 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.999 * [backup-simplify]: Simplify (- 0) into 0 4.999 * [backup-simplify]: Simplify (+ 0 0) into 0 4.999 * [backup-simplify]: Simplify (- 0) into 0 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.000 * [backup-simplify]: Simplify (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) into (* -1 (/ (+ n f) (- f n))) 5.000 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.000 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.000 * [taylor]: Taking taylor expansion of -1 in n 5.000 * [backup-simplify]: Simplify -1 into -1 5.000 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.000 * [taylor]: Taking taylor expansion of (+ n f) in n 5.000 * [taylor]: Taking taylor expansion of n in n 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.000 * [taylor]: Taking taylor expansion of f in n 5.000 * [backup-simplify]: Simplify f into f 5.000 * [taylor]: Taking taylor expansion of (- f n) in n 5.000 * [taylor]: Taking taylor expansion of f in n 5.000 * [backup-simplify]: Simplify f into f 5.000 * [taylor]: Taking taylor expansion of n in n 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.000 * [backup-simplify]: Simplify (+ 0 f) into f 5.001 * [backup-simplify]: Simplify (- 0) into 0 5.001 * [backup-simplify]: Simplify (+ f 0) into f 5.001 * [backup-simplify]: Simplify (/ f f) into 1 5.001 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.001 * [taylor]: Taking taylor expansion of -1 in f 5.001 * [backup-simplify]: Simplify -1 into -1 5.001 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.001 * [taylor]: Taking taylor expansion of (+ n f) in f 5.001 * [taylor]: Taking taylor expansion of n in f 5.001 * [backup-simplify]: Simplify n into n 5.001 * [taylor]: Taking taylor expansion of f in f 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify 1 into 1 5.001 * [taylor]: Taking taylor expansion of (- f n) in f 5.001 * [taylor]: Taking taylor expansion of f in f 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify 1 into 1 5.001 * [taylor]: Taking taylor expansion of n in f 5.001 * [backup-simplify]: Simplify n into n 5.001 * [backup-simplify]: Simplify (+ n 0) into n 5.001 * [backup-simplify]: Simplify (- n) into (- n) 5.001 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.001 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.002 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.002 * [taylor]: Taking taylor expansion of -1 in f 5.002 * [backup-simplify]: Simplify -1 into -1 5.002 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.002 * [taylor]: Taking taylor expansion of (+ n f) in f 5.002 * [taylor]: Taking taylor expansion of n in f 5.002 * [backup-simplify]: Simplify n into n 5.002 * [taylor]: Taking taylor expansion of f in f 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify 1 into 1 5.002 * [taylor]: Taking taylor expansion of (- f n) in f 5.002 * [taylor]: Taking taylor expansion of f in f 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify 1 into 1 5.002 * [taylor]: Taking taylor expansion of n in f 5.002 * [backup-simplify]: Simplify n into n 5.002 * [backup-simplify]: Simplify (+ n 0) into n 5.002 * [backup-simplify]: Simplify (- n) into (- n) 5.002 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.002 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.003 * [backup-simplify]: Simplify (* -1 -1) into 1 5.003 * [taylor]: Taking taylor expansion of 1 in n 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [backup-simplify]: Simplify (+ 0 1) into 1 5.003 * [backup-simplify]: Simplify (- 0) into 0 5.004 * [backup-simplify]: Simplify (+ 1 0) into 1 5.004 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.005 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.005 * [taylor]: Taking taylor expansion of 2 in n 5.005 * [backup-simplify]: Simplify 2 into 2 5.005 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.005 * [taylor]: Taking taylor expansion of n in n 5.005 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify 1 into 1 5.005 * [backup-simplify]: Simplify (/ 1 1) into 1 5.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.014 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.014 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify (+ 0 0) into 0 5.015 * [backup-simplify]: Simplify (- 0) into 0 5.016 * [backup-simplify]: Simplify (+ 0 0) into 0 5.016 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.017 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.017 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.017 * [taylor]: Taking taylor expansion of 2 in n 5.017 * [backup-simplify]: Simplify 2 into 2 5.017 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.017 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.017 * [taylor]: Taking taylor expansion of n in n 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [backup-simplify]: Simplify 1 into 1 5.017 * [backup-simplify]: Simplify (* 1 1) into 1 5.018 * [backup-simplify]: Simplify (/ 1 1) into 1 5.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify (+ 0 0) into 0 5.024 * [backup-simplify]: Simplify (- 0) into 0 5.025 * [backup-simplify]: Simplify (+ 0 0) into 0 5.025 * [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)))) 5.027 * [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))) 5.027 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.027 * [taylor]: Taking taylor expansion of 2 in n 5.027 * [backup-simplify]: Simplify 2 into 2 5.027 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.027 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.027 * [taylor]: Taking taylor expansion of n in n 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify 1 into 1 5.027 * [backup-simplify]: Simplify (* 1 1) into 1 5.028 * [backup-simplify]: Simplify (* 1 1) into 1 5.028 * [backup-simplify]: Simplify (/ 1 1) into 1 5.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.034 * [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)))) 5.034 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.035 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.035 * [taylor]: Taking taylor expansion of -1 in n 5.035 * [backup-simplify]: Simplify -1 into -1 5.035 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.035 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.035 * [taylor]: Taking taylor expansion of f in n 5.035 * [backup-simplify]: Simplify f into f 5.035 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.035 * [taylor]: Taking taylor expansion of n in n 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (/ 1 1) into 1 5.035 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.035 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.035 * [taylor]: Taking taylor expansion of f in n 5.035 * [backup-simplify]: Simplify f into f 5.035 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.035 * [taylor]: Taking taylor expansion of n in n 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (/ 1 1) into 1 5.036 * [backup-simplify]: Simplify (+ 0 1) into 1 5.036 * [backup-simplify]: Simplify (- 1) into -1 5.036 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.036 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.036 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.036 * [taylor]: Taking taylor expansion of -1 in f 5.036 * [backup-simplify]: Simplify -1 into -1 5.036 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.036 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.036 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.036 * [taylor]: Taking taylor expansion of f in f 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify 1 into 1 5.037 * [backup-simplify]: Simplify (/ 1 1) into 1 5.037 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.037 * [taylor]: Taking taylor expansion of n in f 5.037 * [backup-simplify]: Simplify n into n 5.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.037 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.037 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.037 * [taylor]: Taking taylor expansion of f in f 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify 1 into 1 5.037 * [backup-simplify]: Simplify (/ 1 1) into 1 5.037 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.037 * [taylor]: Taking taylor expansion of n in f 5.037 * [backup-simplify]: Simplify n into n 5.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.037 * [backup-simplify]: Simplify (+ 1 0) into 1 5.038 * [backup-simplify]: Simplify (+ 1 0) into 1 5.038 * [backup-simplify]: Simplify (/ 1 1) into 1 5.038 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.038 * [taylor]: Taking taylor expansion of -1 in f 5.038 * [backup-simplify]: Simplify -1 into -1 5.038 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.038 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.038 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.038 * [taylor]: Taking taylor expansion of f in f 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 1 into 1 5.038 * [backup-simplify]: Simplify (/ 1 1) into 1 5.038 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.038 * [taylor]: Taking taylor expansion of n in f 5.038 * [backup-simplify]: Simplify n into n 5.038 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.038 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.039 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.039 * [taylor]: Taking taylor expansion of f in f 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify 1 into 1 5.039 * [backup-simplify]: Simplify (/ 1 1) into 1 5.039 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.039 * [taylor]: Taking taylor expansion of n in f 5.039 * [backup-simplify]: Simplify n into n 5.039 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.039 * [backup-simplify]: Simplify (+ 1 0) into 1 5.039 * [backup-simplify]: Simplify (+ 1 0) into 1 5.040 * [backup-simplify]: Simplify (/ 1 1) into 1 5.040 * [backup-simplify]: Simplify (* -1 1) into -1 5.040 * [taylor]: Taking taylor expansion of -1 in n 5.040 * [backup-simplify]: Simplify -1 into -1 5.040 * [backup-simplify]: Simplify -1 into -1 5.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.040 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.041 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.041 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.041 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.041 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.042 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.042 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.042 * [taylor]: Taking taylor expansion of 2 in n 5.042 * [backup-simplify]: Simplify 2 into 2 5.042 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.042 * [taylor]: Taking taylor expansion of n in n 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 1 into 1 5.042 * [backup-simplify]: Simplify (/ 1 1) into 1 5.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.043 * [backup-simplify]: Simplify (- 0) into 0 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.044 * [backup-simplify]: Simplify (+ 0 0) into 0 5.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.045 * [backup-simplify]: Simplify (- 0) into 0 5.045 * [backup-simplify]: Simplify (+ 0 0) into 0 5.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.046 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.046 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.046 * [taylor]: Taking taylor expansion of 2 in n 5.046 * [backup-simplify]: Simplify 2 into 2 5.046 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.046 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.046 * [taylor]: Taking taylor expansion of n in n 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify 1 into 1 5.046 * [backup-simplify]: Simplify (* 1 1) into 1 5.047 * [backup-simplify]: Simplify (/ 1 1) into 1 5.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.049 * [backup-simplify]: Simplify (- 0) into 0 5.049 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.050 * [backup-simplify]: Simplify (- 0) into 0 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.051 * [backup-simplify]: Simplify (+ 0 0) into 0 5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.052 * [backup-simplify]: Simplify (- 0) into 0 5.052 * [backup-simplify]: Simplify (+ 0 0) into 0 5.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.054 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.054 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.054 * [taylor]: Taking taylor expansion of 2 in n 5.054 * [backup-simplify]: Simplify 2 into 2 5.054 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.054 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.054 * [taylor]: Taking taylor expansion of n in n 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 1 into 1 5.054 * [backup-simplify]: Simplify (* 1 1) into 1 5.055 * [backup-simplify]: Simplify (* 1 1) into 1 5.055 * [backup-simplify]: Simplify (/ 1 1) into 1 5.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.060 * [backup-simplify]: Simplify (- 0) into 0 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify -1 into -1 5.060 * [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)))) 5.060 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 5.060 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in n 5.060 * [taylor]: Taking taylor expansion of -1 in n 5.060 * [backup-simplify]: Simplify -1 into -1 5.060 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in n 5.060 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 5.060 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 5.060 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 5.061 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.061 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.061 * [taylor]: Taking taylor expansion of f in n 5.061 * [backup-simplify]: Simplify f into f 5.061 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.061 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.061 * [taylor]: Taking taylor expansion of n in n 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 1 into 1 5.061 * [backup-simplify]: Simplify (/ 1 1) into 1 5.061 * [backup-simplify]: Simplify (+ 0 1) into 1 5.061 * [backup-simplify]: Simplify (- 1) into -1 5.062 * [backup-simplify]: Simplify (sqrt 0) into 0 5.062 * [backup-simplify]: Simplify (- 1) into -1 5.063 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.063 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.063 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.063 * [taylor]: Taking taylor expansion of n in n 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify 1 into 1 5.064 * [backup-simplify]: Simplify (/ 1 1) into 1 5.064 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.064 * [taylor]: Taking taylor expansion of f in n 5.064 * [backup-simplify]: Simplify f into f 5.064 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.064 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.065 * [backup-simplify]: Simplify (+ 1 0) into 1 5.065 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 5.065 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 5.065 * [taylor]: Taking taylor expansion of -1 in f 5.065 * [backup-simplify]: Simplify -1 into -1 5.065 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 5.065 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 5.065 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.065 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.065 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.065 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.065 * [taylor]: Taking taylor expansion of f in f 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.066 * [backup-simplify]: Simplify (/ 1 1) into 1 5.066 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.066 * [taylor]: Taking taylor expansion of n in f 5.066 * [backup-simplify]: Simplify n into n 5.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.066 * [backup-simplify]: Simplify (+ 1 0) into 1 5.067 * [backup-simplify]: Simplify (- 1) into -1 5.067 * [backup-simplify]: Simplify (sqrt 0) into 0 5.067 * [backup-simplify]: Simplify (- 1) into -1 5.069 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.069 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.069 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.069 * [taylor]: Taking taylor expansion of n in f 5.069 * [backup-simplify]: Simplify n into n 5.069 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.069 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.069 * [taylor]: Taking taylor expansion of f in f 5.069 * [backup-simplify]: Simplify 0 into 0 5.069 * [backup-simplify]: Simplify 1 into 1 5.069 * [backup-simplify]: Simplify (/ 1 1) into 1 5.070 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.070 * [backup-simplify]: Simplify (- 1) into -1 5.071 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.071 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 5.071 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 5.071 * [taylor]: Taking taylor expansion of -1 in f 5.071 * [backup-simplify]: Simplify -1 into -1 5.071 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 5.071 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 5.071 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.071 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.071 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.071 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.071 * [taylor]: Taking taylor expansion of f in f 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 1 into 1 5.072 * [backup-simplify]: Simplify (/ 1 1) into 1 5.072 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.072 * [taylor]: Taking taylor expansion of n in f 5.072 * [backup-simplify]: Simplify n into n 5.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.072 * [backup-simplify]: Simplify (+ 1 0) into 1 5.073 * [backup-simplify]: Simplify (- 1) into -1 5.073 * [backup-simplify]: Simplify (sqrt 0) into 0 5.074 * [backup-simplify]: Simplify (- 1) into -1 5.075 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.075 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.075 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.075 * [taylor]: Taking taylor expansion of n in f 5.075 * [backup-simplify]: Simplify n into n 5.075 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.075 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.075 * [taylor]: Taking taylor expansion of f in f 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.076 * [backup-simplify]: Simplify (/ 1 1) into 1 5.076 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.076 * [backup-simplify]: Simplify (- 1) into -1 5.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.077 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 5.078 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 5.078 * [taylor]: Taking taylor expansion of +nan.0 in n 5.078 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.078 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.079 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.079 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.080 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 5.081 * [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))) 5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (- 0) into 0 5.082 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.083 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 5.084 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (* 0 +nan.0)) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 5.084 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 5.084 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 5.084 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.084 * [taylor]: Taking taylor expansion of +nan.0 in n 5.085 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.085 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.085 * [taylor]: Taking taylor expansion of n in n 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [backup-simplify]: Simplify (/ 1 1) into 1 5.085 * [taylor]: Taking taylor expansion of (- +nan.0) in n 5.085 * [taylor]: Taking taylor expansion of +nan.0 in n 5.085 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.088 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.088 * [backup-simplify]: Simplify (- 0) into 0 5.088 * [backup-simplify]: Simplify (+ 0 0) into 0 5.089 * [backup-simplify]: Simplify (- 0) into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.090 * [backup-simplify]: Simplify (+ 0 0) into 0 5.091 * [backup-simplify]: Simplify (- 0) into 0 5.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 5.094 * [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))))) 5.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.095 * [backup-simplify]: Simplify (- 0) into 0 5.095 * [backup-simplify]: Simplify (+ 0 0) into 0 5.097 * [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))))) 5.098 * [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))))) 5.098 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 5.098 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 5.098 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 5.098 * [taylor]: Taking taylor expansion of +nan.0 in n 5.098 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.098 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.098 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.098 * [taylor]: Taking taylor expansion of n in n 5.098 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify 1 into 1 5.098 * [backup-simplify]: Simplify (* 1 1) into 1 5.099 * [backup-simplify]: Simplify (/ 1 1) into 1 5.099 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 5.099 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 5.099 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.099 * [taylor]: Taking taylor expansion of +nan.0 in n 5.099 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.099 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.099 * [taylor]: Taking taylor expansion of n in n 5.099 * [backup-simplify]: Simplify 0 into 0 5.099 * [backup-simplify]: Simplify 1 into 1 5.099 * [backup-simplify]: Simplify (/ 1 1) into 1 5.099 * [taylor]: Taking taylor expansion of (- +nan.0) in n 5.099 * [taylor]: Taking taylor expansion of +nan.0 in n 5.099 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.102 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.104 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.104 * [backup-simplify]: Simplify (- 0) into 0 5.104 * [backup-simplify]: Simplify (+ 0 0) into 0 5.105 * [backup-simplify]: Simplify (- 0) into 0 5.105 * [backup-simplify]: Simplify (+ 0 0) into 0 5.105 * [backup-simplify]: Simplify (- 0) into 0 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.106 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.106 * [backup-simplify]: Simplify (- 0) into 0 5.107 * [backup-simplify]: Simplify (+ 0 0) into 0 5.107 * [backup-simplify]: Simplify (- 0) into 0 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * * * [progress]: simplifying candidates 5.109 * [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)) (/ (* (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 n))) (sqrt (- f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) 1) (/ (cbrt (sqrt (+ f n))) (- f n)) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) 1) (/ (cbrt (sqrt (+ f n))) (- f n)) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (cbrt (+ f n))) (cbrt (- f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (sqrt (cbrt (+ f n))) (sqrt (- f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (sqrt (cbrt (+ f n))) (- f n)) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (sqrt (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (sqrt (cbrt (+ f n))) (- f n)) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (sqrt (+ f n))) 1) (/ (sqrt (sqrt (+ f n))) (- f n)) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (sqrt (+ f n))) 1) (/ (sqrt (sqrt (+ f n))) (- f n)) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (sqrt 1) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt 1) 1) (/ (sqrt (+ f n)) (- f n)) (/ (sqrt 1) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (sqrt 1) 1) (/ (sqrt (+ f n)) (- f n)) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (sqrt 1) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt 1) 1) (/ (sqrt (+ f n)) (- f n)) (/ (sqrt 1) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (sqrt 1) 1) (/ (sqrt (+ f n)) (- f n)) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (sqrt (+ f n))) 1) (/ (sqrt (sqrt (+ f n))) (- f n)) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (sqrt (+ f n))) 1) (/ (sqrt (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (sqrt (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (sqrt (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (sqrt (+ f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- f n) (cbrt (sqrt (+ f n)))) (/ (- f n) (sqrt (cbrt (+ f n)))) (/ (- f n) (sqrt (sqrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- 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 n))))) (* (- f n) (sqrt (- f n))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (+ (log (- (sqrt (+ f n)))) (- (log (sqrt (+ f n))) (log (- f n)))) (+ (log (- (sqrt (+ f n)))) (log (/ (sqrt (+ f n)) (- f n)))) (log (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (exp (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (* (* (* (- (sqrt (+ f n))) (- (sqrt (+ f n)))) (- (sqrt (+ f n)))) (/ (* (* (sqrt (+ f n)) (sqrt (+ f n))) (sqrt (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (- (sqrt (+ f n))) (- (sqrt (+ f n)))) (- (sqrt (+ f n)))) (* (* (/ (sqrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (- f n)))) (* (cbrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (cbrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))))) (cbrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (* (* (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (sqrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (sqrt (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))) (* (- (sqrt (+ (pow f 3) (pow n 3)))) (sqrt (+ f n))) (* (sqrt (+ (* f f) (- (* n n) (* f n)))) (- f n)) (* (- (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 (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (- (sqrt (+ f n)))) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n))) (* (- (sqrt (+ f n))) (* (cbrt (/ (sqrt (+ f n)) (- f n))) (cbrt (/ (sqrt (+ f n)) (- f n))))) (* (- (sqrt (+ f n))) (sqrt (/ (sqrt (+ f n)) (- 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)))) 1)) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) 1)) (* (- (sqrt (+ f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) (* (- (sqrt (+ f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (* (- (sqrt (+ f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (sqrt (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (* (- (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))) 1)) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) 1)) (* (- (sqrt (+ f n))) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ (sqrt 1) (sqrt (- f n)))) (* (- (sqrt (+ f n))) (/ (sqrt 1) 1)) (* (- (sqrt (+ f n))) (/ (sqrt 1) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (sqrt 1) 1)) (* (- (sqrt (+ f n))) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ (sqrt 1) (sqrt (- f n)))) (* (- (sqrt (+ f n))) (/ (sqrt 1) 1)) (* (- (sqrt (+ f n))) (/ (sqrt 1) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (sqrt 1) 1)) (* (- (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))) 1)) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) 1)) (* (- (sqrt (+ f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ 1 (sqrt (- f n)))) (* (- (sqrt (+ f n))) (/ 1 1)) (* (- (sqrt (+ f n))) (/ 1 (+ (sqrt f) (sqrt n)))) (* (- (sqrt (+ f n))) (/ 1 1)) (* (- (sqrt (+ f n))) 1) (* (- (sqrt (+ f n))) (sqrt (+ f n))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- (pow f 3) (pow n 3)))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- (* f f) (* n n)))) (* (cbrt (- (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)) (- f 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))) (* (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f 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))) (* (- (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))) (* (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f 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 5.110 * [simplify]: Sending expressions to egg_math: (- (log (sqrt (+ h1 h0))) (log (- h1 h0))) (log (/ (sqrt (+ h1 h0)) (- h1 h0))) (exp (/ (sqrt (+ h1 h0)) (- h1 h0))) (/ (* (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (sqrt (+ h1 h0))) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ (sqrt (+ h1 h0)) (- h1 h0))) (cbrt (/ (sqrt (+ h1 h0)) (- h1 h0)))) (cbrt (/ (sqrt (+ h1 h0)) (- h1 h0))) (* (* (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (sqrt (+ h1 h0)) (- h1 h0))) (/ (sqrt (+ h1 h0)) (- h1 h0))) (sqrt (/ (sqrt (+ h1 h0)) (- h1 h0))) (sqrt (/ (sqrt 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(* (- (cbrt (sqrt (+ h1 h0)))) (/ (sqrt (+ h1 h0)) (- h1 h0))) (* (- (sqrt (cbrt (+ h1 h0)))) (/ (sqrt (+ h1 h0)) (- h1 h0))) (* (- (sqrt (sqrt (+ h1 h0)))) (/ (sqrt (+ h1 h0)) (- h1 h0))) (* (- (sqrt (+ h1 h0))) (/ (sqrt (+ h1 h0)) (- h1 h0))) (* (- (sqrt (+ h1 h0))) (/ (sqrt (+ h1 h0)) (- h1 h0))) (* (- (sqrt (sqrt (+ h1 h0)))) (/ (sqrt (+ h1 h0)) (- h1 h0))) (* (- (sqrt (+ h1 h0))) (/ (sqrt (+ h1 h0)) (- h1 h0))) (* (- (sqrt (+ h1 h0))) (sqrt (+ h1 h0))) (* (- (sqrt (+ (pow h1 3) (pow h0 3)))) (/ (sqrt (+ h1 h0)) (- h1 h0))) (* (- (sqrt (- (* h1 h1) (* h0 h0)))) (/ (sqrt (+ h1 h0)) (- h1 h0))) (- (+ (* h2 h0) (- (+ (* h2 h1) (- h2))))) (- (+ (* h2 (/ 1 h1)) (- (+ (* h2 (/ 1 (pow h1 3))) (- (* h2 (/ 1 (pow h1 2)))))))) 0 1 -1 0 6.033 * * * [progress]: adding candidates to table 6.408 * * [progress]: iteration 4 / 4 6.409 * * * [progress]: picking best candidate 6.413 * * * * [pick]: Picked # 6.413 * * * [progress]: localizing error 6.438 * * * [progress]: generating rewritten candidates 6.438 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 6.486 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 6.738 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 6.762 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.963 * * * [progress]: generating series expansions 6.963 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 6.963 * [backup-simplify]: Simplify (/ (- f n) (sqrt (- (+ f n)))) into (/ (- f n) (sqrt (- (+ n f)))) 6.963 * [approximate]: Taking taylor expansion of (/ (- f n) (sqrt (- (+ n f)))) in (f n) around 0 6.963 * [taylor]: Taking taylor expansion of (/ (- f n) (sqrt (- (+ n f)))) in n 6.963 * [taylor]: Taking taylor expansion of (- f n) in n 6.963 * [taylor]: Taking taylor expansion of f in n 6.963 * [backup-simplify]: Simplify f into f 6.963 * [taylor]: Taking taylor expansion of n in n 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.963 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 6.963 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 6.964 * [taylor]: Taking taylor expansion of (+ n f) in n 6.964 * [taylor]: Taking taylor expansion of n in n 6.964 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify 1 into 1 6.964 * [taylor]: Taking taylor expansion of f in n 6.964 * [backup-simplify]: Simplify f into f 6.964 * [backup-simplify]: Simplify (+ 0 f) into f 6.964 * [backup-simplify]: Simplify (- f) into (- f) 6.964 * [backup-simplify]: Simplify (- f) into (- f) 6.964 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 6.965 * [backup-simplify]: Simplify (+ 1 0) into 1 6.965 * [backup-simplify]: Simplify (- 1) into -1 6.965 * [backup-simplify]: Simplify (- f) into (- f) 6.965 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 6.966 * [backup-simplify]: Simplify (- 0) into 0 6.966 * [backup-simplify]: Simplify (+ f 0) into f 6.966 * [backup-simplify]: Simplify (/ f (sqrt (- f))) into (/ f (sqrt (- f))) 6.966 * [taylor]: Taking taylor expansion of (/ (- f n) (sqrt (- (+ n f)))) in f 6.966 * [taylor]: Taking taylor expansion of (- f n) in f 6.966 * [taylor]: Taking taylor expansion of f in f 6.966 * [backup-simplify]: Simplify 0 into 0 6.966 * [backup-simplify]: Simplify 1 into 1 6.966 * [taylor]: Taking taylor expansion of n in f 6.966 * [backup-simplify]: Simplify n into n 6.966 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 6.966 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 6.966 * [taylor]: Taking taylor expansion of (+ n f) in f 6.966 * [taylor]: Taking taylor expansion of n in f 6.966 * [backup-simplify]: Simplify n into n 6.966 * [taylor]: Taking taylor expansion of f in f 6.966 * [backup-simplify]: Simplify 0 into 0 6.966 * [backup-simplify]: Simplify 1 into 1 6.966 * [backup-simplify]: Simplify (+ n 0) into n 6.966 * [backup-simplify]: Simplify (- n) into (- n) 6.966 * [backup-simplify]: Simplify (- n) into (- n) 6.966 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 6.967 * [backup-simplify]: Simplify (+ 0 1) into 1 6.967 * [backup-simplify]: Simplify (- 1) into -1 6.967 * [backup-simplify]: Simplify (- n) into (- n) 6.967 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 6.967 * [backup-simplify]: Simplify (- n) into (- n) 6.967 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.968 * [backup-simplify]: Simplify (/ (- n) (sqrt (- n))) into (* -1 (/ n (sqrt (- n)))) 6.968 * [taylor]: Taking taylor expansion of (/ (- f n) (sqrt (- (+ n f)))) in f 6.968 * [taylor]: Taking taylor expansion of (- f n) in f 6.968 * [taylor]: Taking taylor expansion of f in f 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 1 into 1 6.968 * [taylor]: Taking taylor expansion of n in f 6.968 * [backup-simplify]: Simplify n into n 6.968 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 6.968 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 6.968 * [taylor]: Taking taylor expansion of (+ n f) in f 6.968 * [taylor]: Taking taylor expansion of n in f 6.968 * [backup-simplify]: Simplify n into n 6.968 * [taylor]: Taking taylor expansion of f in f 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 1 into 1 6.968 * [backup-simplify]: Simplify (+ n 0) into n 6.968 * [backup-simplify]: Simplify (- n) into (- n) 6.968 * [backup-simplify]: Simplify (- n) into (- n) 6.968 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 6.969 * [backup-simplify]: Simplify (+ 0 1) into 1 6.969 * [backup-simplify]: Simplify (- 1) into -1 6.969 * [backup-simplify]: Simplify (- n) into (- n) 6.969 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 6.969 * [backup-simplify]: Simplify (- n) into (- n) 6.969 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.969 * [backup-simplify]: Simplify (/ (- n) (sqrt (- n))) into (* -1 (/ n (sqrt (- n)))) 6.970 * [taylor]: Taking taylor expansion of (* -1 (/ n (sqrt (- n)))) in n 6.970 * [taylor]: Taking taylor expansion of -1 in n 6.970 * [backup-simplify]: Simplify -1 into -1 6.970 * [taylor]: Taking taylor expansion of (/ n (sqrt (- n))) in n 6.970 * [taylor]: Taking taylor expansion of n in n 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 1 into 1 6.970 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 6.970 * [taylor]: Taking taylor expansion of (- n) in n 6.970 * [taylor]: Taking taylor expansion of n in n 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 1 into 1 6.970 * [backup-simplify]: Simplify (- 0) into 0 6.971 * [backup-simplify]: Simplify (- 1) into -1 6.971 * [backup-simplify]: Simplify (sqrt 0) into 0 6.971 * [backup-simplify]: Simplify (- 1) into -1 6.973 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.973 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.974 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 6.974 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.974 * [backup-simplify]: Simplify (- 0) into 0 6.975 * [backup-simplify]: Simplify (+ 1 0) into 1 6.975 * [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)))) 6.975 * [taylor]: Taking taylor expansion of (- (/ 1 (sqrt (- n))) (* 1/2 (/ n (pow (sqrt (- n)) 3)))) in n 6.975 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- n))) in n 6.975 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 6.975 * [taylor]: Taking taylor expansion of (- n) in n 6.975 * [taylor]: Taking taylor expansion of n in n 6.975 * [backup-simplify]: Simplify 0 into 0 6.975 * [backup-simplify]: Simplify 1 into 1 6.976 * [backup-simplify]: Simplify (- 0) into 0 6.976 * [backup-simplify]: Simplify (- 1) into -1 6.976 * [backup-simplify]: Simplify (sqrt 0) into 0 6.977 * [backup-simplify]: Simplify (- 1) into -1 6.978 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.979 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.979 * [taylor]: Taking taylor expansion of (* 1/2 (/ n (pow (sqrt (- n)) 3))) in n 6.979 * [taylor]: Taking taylor expansion of 1/2 in n 6.979 * [backup-simplify]: Simplify 1/2 into 1/2 6.979 * [taylor]: Taking taylor expansion of (/ n (pow (sqrt (- n)) 3)) in n 6.979 * [taylor]: Taking taylor expansion of n in n 6.979 * [backup-simplify]: Simplify 0 into 0 6.979 * [backup-simplify]: Simplify 1 into 1 6.979 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 3) in n 6.979 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 6.979 * [taylor]: Taking taylor expansion of (- n) in n 6.979 * [taylor]: Taking taylor expansion of n in n 6.979 * [backup-simplify]: Simplify 0 into 0 6.979 * [backup-simplify]: Simplify 1 into 1 6.979 * [backup-simplify]: Simplify (- 0) into 0 6.980 * [backup-simplify]: Simplify (- 1) into -1 6.980 * [backup-simplify]: Simplify (sqrt 0) into 0 6.980 * [backup-simplify]: Simplify (- 1) into -1 6.982 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.982 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.982 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 6.983 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.983 * [backup-simplify]: Simplify (- 0) into 0 6.986 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.988 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.989 * [backup-simplify]: Simplify (- 0) into 0 6.989 * [backup-simplify]: Simplify (- 0) into 0 6.992 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.998 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 6.999 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 7.002 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 7.004 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 7.007 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.012 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.015 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0))) into (- +nan.0) 7.016 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.017 * [backup-simplify]: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) 7.017 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.017 * [backup-simplify]: Simplify (- 0) into 0 7.020 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.023 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.025 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 +nan.0)) into (- +nan.0) 7.025 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.026 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) +nan.0)) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 7.027 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) into (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) 7.027 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 7.027 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) in n 7.027 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.027 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.027 * [taylor]: Taking taylor expansion of f in n 7.027 * [backup-simplify]: Simplify f into f 7.027 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.027 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.027 * [taylor]: Taking taylor expansion of n in n 7.027 * [backup-simplify]: Simplify 0 into 0 7.027 * [backup-simplify]: Simplify 1 into 1 7.027 * [backup-simplify]: Simplify (/ 1 1) into 1 7.027 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 7.028 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 7.028 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.028 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.028 * [taylor]: Taking taylor expansion of f in n 7.028 * [backup-simplify]: Simplify f into f 7.028 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.028 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.028 * [taylor]: Taking taylor expansion of n in n 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 1 into 1 7.028 * [backup-simplify]: Simplify (/ 1 1) into 1 7.029 * [backup-simplify]: Simplify (+ 0 1) into 1 7.029 * [backup-simplify]: Simplify (- 1) into -1 7.029 * [backup-simplify]: Simplify (sqrt 0) into 0 7.030 * [backup-simplify]: Simplify (- 1) into -1 7.031 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.031 * [backup-simplify]: Simplify (- 1) into -1 7.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.032 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.032 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) in f 7.032 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.032 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.032 * [taylor]: Taking taylor expansion of f in f 7.032 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify 1 into 1 7.033 * [backup-simplify]: Simplify (/ 1 1) into 1 7.033 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.033 * [taylor]: Taking taylor expansion of n in f 7.033 * [backup-simplify]: Simplify n into n 7.033 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.033 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.033 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.033 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.033 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.033 * [taylor]: Taking taylor expansion of f in f 7.033 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify 1 into 1 7.034 * [backup-simplify]: Simplify (/ 1 1) into 1 7.034 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.034 * [taylor]: Taking taylor expansion of n in f 7.034 * [backup-simplify]: Simplify n into n 7.034 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.034 * [backup-simplify]: Simplify (+ 1 0) into 1 7.034 * [backup-simplify]: Simplify (- 1) into -1 7.035 * [backup-simplify]: Simplify (sqrt 0) into 0 7.035 * [backup-simplify]: Simplify (- 1) into -1 7.036 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.036 * [backup-simplify]: Simplify (+ 1 0) into 1 7.036 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.036 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) in f 7.036 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.036 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.036 * [taylor]: Taking taylor expansion of f in f 7.036 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify 1 into 1 7.037 * [backup-simplify]: Simplify (/ 1 1) into 1 7.037 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.037 * [taylor]: Taking taylor expansion of n in f 7.037 * [backup-simplify]: Simplify n into n 7.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.037 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.037 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.037 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.037 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.037 * [taylor]: Taking taylor expansion of f in f 7.037 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify 1 into 1 7.037 * [backup-simplify]: Simplify (/ 1 1) into 1 7.037 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.037 * [taylor]: Taking taylor expansion of n in f 7.037 * [backup-simplify]: Simplify n into n 7.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.038 * [backup-simplify]: Simplify (+ 1 0) into 1 7.038 * [backup-simplify]: Simplify (- 1) into -1 7.038 * [backup-simplify]: Simplify (sqrt 0) into 0 7.038 * [backup-simplify]: Simplify (- 1) into -1 7.039 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.039 * [backup-simplify]: Simplify (+ 1 0) into 1 7.039 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.040 * [taylor]: Taking taylor expansion of +nan.0 in n 7.040 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.040 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.040 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.041 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.041 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.042 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 7.042 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (/ 1 n) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.042 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.042 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.042 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.042 * [taylor]: Taking taylor expansion of +nan.0 in n 7.042 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.042 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.042 * [taylor]: Taking taylor expansion of n in n 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 1 into 1 7.042 * [backup-simplify]: Simplify (/ 1 1) into 1 7.042 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.042 * [taylor]: Taking taylor expansion of +nan.0 in n 7.042 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.043 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.043 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.043 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.044 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.044 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.045 * [backup-simplify]: Simplify (- 0) into 0 7.045 * [backup-simplify]: Simplify (+ 0 0) into 0 7.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.046 * [backup-simplify]: Simplify (+ 0 0) into 0 7.046 * [backup-simplify]: Simplify (- 0) into 0 7.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.048 * [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))))) 7.048 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 7.048 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.048 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.048 * [taylor]: Taking taylor expansion of +nan.0 in n 7.048 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.048 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.048 * [taylor]: Taking taylor expansion of n in n 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify 1 into 1 7.055 * [backup-simplify]: Simplify (* 1 1) into 1 7.055 * [backup-simplify]: Simplify (/ 1 1) into 1 7.055 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.055 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.055 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.055 * [taylor]: Taking taylor expansion of +nan.0 in n 7.055 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.055 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.055 * [taylor]: Taking taylor expansion of n in n 7.055 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [backup-simplify]: Simplify (/ 1 1) into 1 7.056 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.056 * [taylor]: Taking taylor expansion of +nan.0 in n 7.056 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.057 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.057 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.058 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.058 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.059 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.059 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.059 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.060 * [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)))))) 7.060 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (* (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) 7.060 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.060 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in n 7.060 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in n 7.060 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 7.060 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.060 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.060 * [taylor]: Taking taylor expansion of f in n 7.060 * [backup-simplify]: Simplify f into f 7.060 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.060 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.060 * [taylor]: Taking taylor expansion of n in n 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 1 into 1 7.061 * [backup-simplify]: Simplify (/ 1 1) into 1 7.061 * [backup-simplify]: Simplify (+ 0 1) into 1 7.061 * [backup-simplify]: Simplify (/ 1 1) into 1 7.061 * [backup-simplify]: Simplify (sqrt 0) into 0 7.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.062 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.062 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.062 * [taylor]: Taking taylor expansion of n in n 7.062 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify 1 into 1 7.062 * [backup-simplify]: Simplify (/ 1 1) into 1 7.062 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.063 * [taylor]: Taking taylor expansion of f in n 7.063 * [backup-simplify]: Simplify f into f 7.063 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.063 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 7.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in f 7.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 7.063 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.063 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.063 * [taylor]: Taking taylor expansion of f in f 7.063 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify 1 into 1 7.063 * [backup-simplify]: Simplify (/ 1 1) into 1 7.063 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.063 * [taylor]: Taking taylor expansion of n in f 7.063 * [backup-simplify]: Simplify n into n 7.063 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.063 * [backup-simplify]: Simplify (+ 1 0) into 1 7.064 * [backup-simplify]: Simplify (/ 1 1) into 1 7.064 * [backup-simplify]: Simplify (sqrt 0) into 0 7.064 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.065 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.065 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.065 * [taylor]: Taking taylor expansion of n in f 7.065 * [backup-simplify]: Simplify n into n 7.065 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.065 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.065 * [taylor]: Taking taylor expansion of f in f 7.065 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify 1 into 1 7.065 * [backup-simplify]: Simplify (/ 1 1) into 1 7.065 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 7.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in f 7.065 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 7.065 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.065 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.065 * [taylor]: Taking taylor expansion of f in f 7.065 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify 1 into 1 7.065 * [backup-simplify]: Simplify (/ 1 1) into 1 7.065 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.065 * [taylor]: Taking taylor expansion of n in f 7.065 * [backup-simplify]: Simplify n into n 7.065 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.066 * [backup-simplify]: Simplify (+ 1 0) into 1 7.066 * [backup-simplify]: Simplify (/ 1 1) into 1 7.066 * [backup-simplify]: Simplify (sqrt 0) into 0 7.067 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.067 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.067 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.067 * [taylor]: Taking taylor expansion of n in f 7.067 * [backup-simplify]: Simplify n into n 7.067 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.067 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.067 * [taylor]: Taking taylor expansion of f in f 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify 1 into 1 7.067 * [backup-simplify]: Simplify (/ 1 1) into 1 7.068 * [backup-simplify]: Simplify (- 1) into -1 7.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.068 * [backup-simplify]: Simplify (* 0 -1) into 0 7.068 * [taylor]: Taking taylor expansion of 0 in n 7.068 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.069 * [backup-simplify]: Simplify (- 0) into 0 7.069 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.069 * [backup-simplify]: Simplify (+ (* 0 (/ 1 n)) (* +nan.0 -1)) into (- +nan.0) 7.069 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.069 * [taylor]: Taking taylor expansion of +nan.0 in n 7.069 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.070 * [backup-simplify]: Simplify (- 0) into 0 7.070 * [backup-simplify]: Simplify (+ 0 0) into 0 7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.071 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.072 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 7.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 (/ 1 n)) (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) -1))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.072 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.072 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.072 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.072 * [taylor]: Taking taylor expansion of +nan.0 in n 7.072 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.072 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.072 * [taylor]: Taking taylor expansion of n in n 7.072 * [backup-simplify]: Simplify 0 into 0 7.072 * [backup-simplify]: Simplify 1 into 1 7.073 * [backup-simplify]: Simplify (/ 1 1) into 1 7.073 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.073 * [taylor]: Taking taylor expansion of +nan.0 in n 7.073 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.073 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.073 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.074 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.074 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.074 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.074 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.074 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.075 * [backup-simplify]: Simplify (- 0) into 0 7.076 * [backup-simplify]: Simplify (+ 0 0) into 0 7.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.076 * [backup-simplify]: Simplify (+ 0 0) into 0 7.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.077 * [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)))) 7.079 * [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))))) 7.079 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 7.079 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.079 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.079 * [taylor]: Taking taylor expansion of +nan.0 in n 7.079 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.079 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.079 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.079 * [taylor]: Taking taylor expansion of n in n 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 1 into 1 7.079 * [backup-simplify]: Simplify (* 1 1) into 1 7.080 * [backup-simplify]: Simplify (/ 1 1) into 1 7.080 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.080 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.080 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.080 * [taylor]: Taking taylor expansion of +nan.0 in n 7.080 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.080 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.080 * [taylor]: Taking taylor expansion of n in n 7.080 * [backup-simplify]: Simplify 0 into 0 7.080 * [backup-simplify]: Simplify 1 into 1 7.080 * [backup-simplify]: Simplify (/ 1 1) into 1 7.080 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.080 * [taylor]: Taking taylor expansion of +nan.0 in n 7.080 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.081 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.081 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.082 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.082 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.083 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.083 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.084 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.085 * [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)))))))) 7.085 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 7.085 * [backup-simplify]: Simplify (* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n))))) into (/ (- f n) (pow (sqrt (- (+ n f))) 2)) 7.085 * [approximate]: Taking taylor expansion of (/ (- f n) (pow (sqrt (- (+ n f))) 2)) in (f n) around 0 7.085 * [taylor]: Taking taylor expansion of (/ (- f n) (pow (sqrt (- (+ n f))) 2)) in n 7.085 * [taylor]: Taking taylor expansion of (- f n) in n 7.085 * [taylor]: Taking taylor expansion of f in n 7.085 * [backup-simplify]: Simplify f into f 7.085 * [taylor]: Taking taylor expansion of n in n 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in n 7.085 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 7.085 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 7.085 * [taylor]: Taking taylor expansion of (+ n f) in n 7.085 * [taylor]: Taking taylor expansion of n in n 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [taylor]: Taking taylor expansion of f in n 7.085 * [backup-simplify]: Simplify f into f 7.085 * [backup-simplify]: Simplify (+ 0 f) into f 7.085 * [backup-simplify]: Simplify (- f) into (- f) 7.085 * [backup-simplify]: Simplify (- f) into (- f) 7.085 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 7.086 * [backup-simplify]: Simplify (+ 1 0) into 1 7.086 * [backup-simplify]: Simplify (- 1) into -1 7.086 * [backup-simplify]: Simplify (- f) into (- f) 7.086 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 7.086 * [backup-simplify]: Simplify (- 0) into 0 7.086 * [backup-simplify]: Simplify (+ f 0) into f 7.087 * [backup-simplify]: Simplify (* (sqrt (- f)) (sqrt (- f))) into (pow (sqrt (- f)) 2) 7.087 * [backup-simplify]: Simplify (/ f (pow (sqrt (- f)) 2)) into (/ f (pow (sqrt (- f)) 2)) 7.087 * [taylor]: Taking taylor expansion of (/ (- f n) (pow (sqrt (- (+ n f))) 2)) in f 7.087 * [taylor]: Taking taylor expansion of (- f n) in f 7.087 * [taylor]: Taking taylor expansion of f in f 7.087 * [backup-simplify]: Simplify 0 into 0 7.087 * [backup-simplify]: Simplify 1 into 1 7.087 * [taylor]: Taking taylor expansion of n in f 7.087 * [backup-simplify]: Simplify n into n 7.087 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 7.087 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 7.087 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 7.087 * [taylor]: Taking taylor expansion of (+ n f) in f 7.087 * [taylor]: Taking taylor expansion of n in f 7.087 * [backup-simplify]: Simplify n into n 7.087 * [taylor]: Taking taylor expansion of f in f 7.087 * [backup-simplify]: Simplify 0 into 0 7.087 * [backup-simplify]: Simplify 1 into 1 7.087 * [backup-simplify]: Simplify (+ n 0) into n 7.087 * [backup-simplify]: Simplify (- n) into (- n) 7.087 * [backup-simplify]: Simplify (- n) into (- n) 7.087 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 7.088 * [backup-simplify]: Simplify (+ 0 1) into 1 7.088 * [backup-simplify]: Simplify (- 1) into -1 7.088 * [backup-simplify]: Simplify (- n) into (- n) 7.088 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 7.088 * [backup-simplify]: Simplify (- n) into (- n) 7.088 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.089 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 7.089 * [backup-simplify]: Simplify (/ (- n) (pow (sqrt (- n)) 2)) into (* -1 (/ n (pow (sqrt (- n)) 2))) 7.089 * [taylor]: Taking taylor expansion of (/ (- f n) (pow (sqrt (- (+ n f))) 2)) in f 7.089 * [taylor]: Taking taylor expansion of (- f n) in f 7.089 * [taylor]: Taking taylor expansion of f in f 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [taylor]: Taking taylor expansion of n in f 7.089 * [backup-simplify]: Simplify n into n 7.089 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 7.089 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 7.089 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 7.089 * [taylor]: Taking taylor expansion of (+ n f) in f 7.089 * [taylor]: Taking taylor expansion of n in f 7.089 * [backup-simplify]: Simplify n into n 7.089 * [taylor]: Taking taylor expansion of f in f 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [backup-simplify]: Simplify (+ n 0) into n 7.089 * [backup-simplify]: Simplify (- n) into (- n) 7.089 * [backup-simplify]: Simplify (- n) into (- n) 7.089 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 7.090 * [backup-simplify]: Simplify (+ 0 1) into 1 7.090 * [backup-simplify]: Simplify (- 1) into -1 7.090 * [backup-simplify]: Simplify (- n) into (- n) 7.090 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 7.090 * [backup-simplify]: Simplify (- n) into (- n) 7.091 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.091 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 7.091 * [backup-simplify]: Simplify (/ (- n) (pow (sqrt (- n)) 2)) into (* -1 (/ n (pow (sqrt (- n)) 2))) 7.091 * [taylor]: Taking taylor expansion of (* -1 (/ n (pow (sqrt (- n)) 2))) in n 7.091 * [taylor]: Taking taylor expansion of -1 in n 7.091 * [backup-simplify]: Simplify -1 into -1 7.091 * [taylor]: Taking taylor expansion of (/ n (pow (sqrt (- n)) 2)) in n 7.091 * [taylor]: Taking taylor expansion of n in n 7.091 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify 1 into 1 7.091 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 7.091 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 7.091 * [taylor]: Taking taylor expansion of (- n) in n 7.091 * [taylor]: Taking taylor expansion of n in n 7.091 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify 1 into 1 7.092 * [backup-simplify]: Simplify (- 0) into 0 7.092 * [backup-simplify]: Simplify (- 1) into -1 7.092 * [backup-simplify]: Simplify (sqrt 0) into 0 7.093 * [backup-simplify]: Simplify (- 1) into -1 7.094 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.095 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.095 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.095 * [backup-simplify]: Simplify (- 0) into 0 7.098 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.099 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 7.103 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.105 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 +nan.0)) into (- +nan.0) 7.105 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.106 * [backup-simplify]: Simplify (- 0) into 0 7.106 * [backup-simplify]: Simplify (+ 1 0) into 1 7.106 * [backup-simplify]: Simplify (+ (* (sqrt (- n)) (/ -1/2 (sqrt (- n)))) (* (/ -1/2 (sqrt (- n))) (sqrt (- n)))) into (- 1) 7.107 * [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))) 7.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow (sqrt (- n)) 2)) (/ n (pow (sqrt (- n)) 4))) in n 7.107 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (- n)) 2)) in n 7.107 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 7.107 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 7.107 * [taylor]: Taking taylor expansion of (- n) in n 7.108 * [taylor]: Taking taylor expansion of n in n 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 1 into 1 7.108 * [backup-simplify]: Simplify (- 0) into 0 7.108 * [backup-simplify]: Simplify (- 1) into -1 7.109 * [backup-simplify]: Simplify (sqrt 0) into 0 7.109 * [backup-simplify]: Simplify (- 1) into -1 7.110 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.111 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.111 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.111 * [taylor]: Taking taylor expansion of (/ n (pow (sqrt (- n)) 4)) in n 7.111 * [taylor]: Taking taylor expansion of n in n 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 1 into 1 7.111 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 4) in n 7.111 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 7.111 * [taylor]: Taking taylor expansion of (- n) in n 7.111 * [taylor]: Taking taylor expansion of n in n 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (- 0) into 0 7.112 * [backup-simplify]: Simplify (- 1) into -1 7.113 * [backup-simplify]: Simplify (sqrt 0) into 0 7.113 * [backup-simplify]: Simplify (- 1) into -1 7.114 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.115 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.115 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.115 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.116 * [backup-simplify]: Simplify (- 0) into 0 7.116 * [backup-simplify]: Simplify (- 0) into 0 7.119 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.125 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 7.126 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 7.129 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.133 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.133 * [backup-simplify]: Simplify (- 0) into 0 7.134 * [backup-simplify]: Simplify (- 0) into 0 7.137 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.137 * [backup-simplify]: Simplify (- 0) into 0 7.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.143 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.144 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 7.145 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 7.146 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 7.150 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0)))) into (- +nan.0) 7.151 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0) 7.153 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.156 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0))) into (- +nan.0) 7.163 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.167 * [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) 7.168 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.168 * [backup-simplify]: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) 7.169 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.169 * [backup-simplify]: Simplify (- 0) into 0 7.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.172 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 7.176 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.179 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0))) into (- +nan.0) 7.179 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.181 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 7.181 * [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)) 7.181 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2)) in (f n) around 0 7.181 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2)) in n 7.181 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.181 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.182 * [taylor]: Taking taylor expansion of f in n 7.182 * [backup-simplify]: Simplify f into f 7.182 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.182 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.182 * [taylor]: Taking taylor expansion of n in n 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify 1 into 1 7.182 * [backup-simplify]: Simplify (/ 1 1) into 1 7.182 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 7.182 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 7.182 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 7.182 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.182 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.182 * [taylor]: Taking taylor expansion of f in n 7.182 * [backup-simplify]: Simplify f into f 7.182 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.182 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.182 * [taylor]: Taking taylor expansion of n in n 7.182 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 1 into 1 7.183 * [backup-simplify]: Simplify (/ 1 1) into 1 7.183 * [backup-simplify]: Simplify (+ 0 1) into 1 7.184 * [backup-simplify]: Simplify (- 1) into -1 7.184 * [backup-simplify]: Simplify (sqrt 0) into 0 7.184 * [backup-simplify]: Simplify (- 1) into -1 7.186 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.186 * [backup-simplify]: Simplify (- 1) into -1 7.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.187 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.188 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.188 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2)) in f 7.188 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.188 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.188 * [taylor]: Taking taylor expansion of f in f 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 1 into 1 7.188 * [backup-simplify]: Simplify (/ 1 1) into 1 7.188 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.188 * [taylor]: Taking taylor expansion of n in f 7.188 * [backup-simplify]: Simplify n into n 7.188 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.188 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 7.188 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.188 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.188 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.188 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.188 * [taylor]: Taking taylor expansion of f in f 7.188 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify 1 into 1 7.189 * [backup-simplify]: Simplify (/ 1 1) into 1 7.189 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.189 * [taylor]: Taking taylor expansion of n in f 7.189 * [backup-simplify]: Simplify n into n 7.189 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.189 * [backup-simplify]: Simplify (+ 1 0) into 1 7.190 * [backup-simplify]: Simplify (- 1) into -1 7.190 * [backup-simplify]: Simplify (sqrt 0) into 0 7.191 * [backup-simplify]: Simplify (- 1) into -1 7.192 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.192 * [backup-simplify]: Simplify (+ 1 0) into 1 7.193 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.193 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.193 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2)) in f 7.193 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.193 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.193 * [taylor]: Taking taylor expansion of f in f 7.193 * [backup-simplify]: Simplify 0 into 0 7.193 * [backup-simplify]: Simplify 1 into 1 7.194 * [backup-simplify]: Simplify (/ 1 1) into 1 7.194 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.194 * [taylor]: Taking taylor expansion of n in f 7.194 * [backup-simplify]: Simplify n into n 7.194 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.194 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 7.194 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.194 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.194 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.194 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.194 * [taylor]: Taking taylor expansion of f in f 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 1 into 1 7.195 * [backup-simplify]: Simplify (/ 1 1) into 1 7.195 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.195 * [taylor]: Taking taylor expansion of n in f 7.195 * [backup-simplify]: Simplify n into n 7.195 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.195 * [backup-simplify]: Simplify (+ 1 0) into 1 7.196 * [backup-simplify]: Simplify (- 1) into -1 7.196 * [backup-simplify]: Simplify (sqrt 0) into 0 7.196 * [backup-simplify]: Simplify (- 1) into -1 7.198 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.198 * [backup-simplify]: Simplify (+ 1 0) into 1 7.198 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.199 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.199 * [taylor]: Taking taylor expansion of +nan.0 in n 7.199 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.200 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.200 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.201 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.201 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.202 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 7.203 * [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))) 7.203 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) +nan.0) (+ (* +nan.0 (/ (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.203 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.203 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.203 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.203 * [taylor]: Taking taylor expansion of +nan.0 in n 7.203 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.203 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.203 * [taylor]: Taking taylor expansion of n in n 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.204 * [backup-simplify]: Simplify (/ 1 1) into 1 7.204 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.204 * [taylor]: Taking taylor expansion of +nan.0 in n 7.204 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.204 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.204 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.205 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.205 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.205 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.206 * [backup-simplify]: Simplify (- 0) into 0 7.206 * [backup-simplify]: Simplify (+ 0 0) into 0 7.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.207 * [backup-simplify]: Simplify (+ 0 0) into 0 7.207 * [backup-simplify]: Simplify (- 0) into 0 7.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.209 * [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))))) 7.211 * [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))))) 7.211 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 7.211 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.211 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.211 * [taylor]: Taking taylor expansion of +nan.0 in n 7.211 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.211 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.211 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.211 * [taylor]: Taking taylor expansion of n in n 7.211 * [backup-simplify]: Simplify 0 into 0 7.211 * [backup-simplify]: Simplify 1 into 1 7.211 * [backup-simplify]: Simplify (* 1 1) into 1 7.211 * [backup-simplify]: Simplify (/ 1 1) into 1 7.211 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.211 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.211 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.211 * [taylor]: Taking taylor expansion of +nan.0 in n 7.211 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.211 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.211 * [taylor]: Taking taylor expansion of n in n 7.211 * [backup-simplify]: Simplify 0 into 0 7.211 * [backup-simplify]: Simplify 1 into 1 7.212 * [backup-simplify]: Simplify (/ 1 1) into 1 7.212 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.212 * [taylor]: Taking taylor expansion of +nan.0 in n 7.212 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.213 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.213 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.213 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.214 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.214 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.215 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.215 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.216 * [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)))))) 7.216 * [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))) 7.216 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 7.216 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 7.216 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.216 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.216 * [taylor]: Taking taylor expansion of n in n 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 1 into 1 7.216 * [backup-simplify]: Simplify (/ 1 1) into 1 7.216 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.216 * [taylor]: Taking taylor expansion of f in n 7.217 * [backup-simplify]: Simplify f into f 7.217 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.217 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.217 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.217 * [taylor]: Taking taylor expansion of f in n 7.217 * [backup-simplify]: Simplify f into f 7.217 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.217 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.217 * [taylor]: Taking taylor expansion of n in n 7.217 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify 1 into 1 7.217 * [backup-simplify]: Simplify (/ 1 1) into 1 7.217 * [backup-simplify]: Simplify (+ 1 0) into 1 7.217 * [backup-simplify]: Simplify (+ 0 1) into 1 7.218 * [backup-simplify]: Simplify (/ 1 1) into 1 7.218 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 7.218 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.218 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.218 * [taylor]: Taking taylor expansion of n in f 7.218 * [backup-simplify]: Simplify n into n 7.218 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.218 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.218 * [taylor]: Taking taylor expansion of f in f 7.218 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify 1 into 1 7.218 * [backup-simplify]: Simplify (/ 1 1) into 1 7.218 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.218 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.218 * [taylor]: Taking taylor expansion of f in f 7.218 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify 1 into 1 7.218 * [backup-simplify]: Simplify (/ 1 1) into 1 7.218 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.218 * [taylor]: Taking taylor expansion of n in f 7.218 * [backup-simplify]: Simplify n into n 7.219 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.219 * [backup-simplify]: Simplify (- 1) into -1 7.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.219 * [backup-simplify]: Simplify (+ 1 0) into 1 7.219 * [backup-simplify]: Simplify (/ -1 1) into -1 7.220 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 7.220 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.220 * [taylor]: Taking taylor expansion of n in f 7.220 * [backup-simplify]: Simplify n into n 7.220 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.220 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.220 * [taylor]: Taking taylor expansion of f in f 7.220 * [backup-simplify]: Simplify 0 into 0 7.220 * [backup-simplify]: Simplify 1 into 1 7.220 * [backup-simplify]: Simplify (/ 1 1) into 1 7.220 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.220 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.220 * [taylor]: Taking taylor expansion of f in f 7.220 * [backup-simplify]: Simplify 0 into 0 7.220 * [backup-simplify]: Simplify 1 into 1 7.220 * [backup-simplify]: Simplify (/ 1 1) into 1 7.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.220 * [taylor]: Taking taylor expansion of n in f 7.220 * [backup-simplify]: Simplify n into n 7.220 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.221 * [backup-simplify]: Simplify (- 1) into -1 7.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.221 * [backup-simplify]: Simplify (+ 1 0) into 1 7.221 * [backup-simplify]: Simplify (/ -1 1) into -1 7.221 * [taylor]: Taking taylor expansion of -1 in n 7.221 * [backup-simplify]: Simplify -1 into -1 7.221 * [backup-simplify]: Simplify -1 into -1 7.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.222 * [backup-simplify]: Simplify (- 0) into 0 7.222 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.223 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.223 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 7.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.223 * [taylor]: Taking taylor expansion of 2 in n 7.223 * [backup-simplify]: Simplify 2 into 2 7.223 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.223 * [taylor]: Taking taylor expansion of n in n 7.223 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify 1 into 1 7.223 * [backup-simplify]: Simplify (/ 1 1) into 1 7.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.224 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.225 * [backup-simplify]: Simplify (- 0) into 0 7.225 * [backup-simplify]: Simplify (+ 0 0) into 0 7.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.226 * [backup-simplify]: Simplify (+ 0 0) into 0 7.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.227 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.227 * [taylor]: Taking taylor expansion of 2 in n 7.227 * [backup-simplify]: Simplify 2 into 2 7.227 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.227 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.227 * [taylor]: Taking taylor expansion of n in n 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 1 into 1 7.228 * [backup-simplify]: Simplify (* 1 1) into 1 7.228 * [backup-simplify]: Simplify (/ 1 1) into 1 7.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.232 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.232 * [backup-simplify]: Simplify (- 0) into 0 7.232 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.236 * [backup-simplify]: Simplify (- 0) into 0 7.236 * [backup-simplify]: Simplify (+ 0 0) into 0 7.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.238 * [backup-simplify]: Simplify (+ 0 0) into 0 7.240 * [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))) 7.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.240 * [taylor]: Taking taylor expansion of 2 in n 7.240 * [backup-simplify]: Simplify 2 into 2 7.240 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.240 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.240 * [taylor]: Taking taylor expansion of n in n 7.240 * [backup-simplify]: Simplify 0 into 0 7.240 * [backup-simplify]: Simplify 1 into 1 7.240 * [backup-simplify]: Simplify (* 1 1) into 1 7.241 * [backup-simplify]: Simplify (* 1 1) into 1 7.241 * [backup-simplify]: Simplify (/ 1 1) into 1 7.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.250 * [backup-simplify]: Simplify 0 into 0 7.250 * [backup-simplify]: Simplify -1 into -1 7.250 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 7.250 * [backup-simplify]: Simplify (/ 1 (sqrt (- (+ f n)))) into (/ 1 (sqrt (- (+ n f)))) 7.250 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (- (+ n f)))) in (f n) around 0 7.250 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ n f)))) in n 7.251 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 7.251 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 7.251 * [taylor]: Taking taylor expansion of (+ n f) in n 7.251 * [taylor]: Taking taylor expansion of n in n 7.251 * [backup-simplify]: Simplify 0 into 0 7.251 * [backup-simplify]: Simplify 1 into 1 7.251 * [taylor]: Taking taylor expansion of f in n 7.251 * [backup-simplify]: Simplify f into f 7.251 * [backup-simplify]: Simplify (+ 0 f) into f 7.251 * [backup-simplify]: Simplify (- f) into (- f) 7.251 * [backup-simplify]: Simplify (- f) into (- f) 7.251 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 7.251 * [backup-simplify]: Simplify (+ 1 0) into 1 7.252 * [backup-simplify]: Simplify (- 1) into -1 7.252 * [backup-simplify]: Simplify (- f) into (- f) 7.252 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 7.252 * [backup-simplify]: Simplify (/ 1 (sqrt (- f))) into (/ 1 (sqrt (- f))) 7.252 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ n f)))) in f 7.252 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 7.252 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 7.252 * [taylor]: Taking taylor expansion of (+ n f) in f 7.252 * [taylor]: Taking taylor expansion of n in f 7.252 * [backup-simplify]: Simplify n into n 7.252 * [taylor]: Taking taylor expansion of f in f 7.252 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify 1 into 1 7.252 * [backup-simplify]: Simplify (+ n 0) into n 7.252 * [backup-simplify]: Simplify (- n) into (- n) 7.252 * [backup-simplify]: Simplify (- n) into (- n) 7.253 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 7.253 * [backup-simplify]: Simplify (+ 0 1) into 1 7.253 * [backup-simplify]: Simplify (- 1) into -1 7.253 * [backup-simplify]: Simplify (- n) into (- n) 7.253 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 7.253 * [backup-simplify]: Simplify (/ 1 (sqrt (- n))) into (/ 1 (sqrt (- n))) 7.254 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ n f)))) in f 7.254 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 7.254 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 7.254 * [taylor]: Taking taylor expansion of (+ n f) in f 7.254 * [taylor]: Taking taylor expansion of n in f 7.254 * [backup-simplify]: Simplify n into n 7.254 * [taylor]: Taking taylor expansion of f in f 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 1 into 1 7.254 * [backup-simplify]: Simplify (+ n 0) into n 7.254 * [backup-simplify]: Simplify (- n) into (- n) 7.254 * [backup-simplify]: Simplify (- n) into (- n) 7.254 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 7.254 * [backup-simplify]: Simplify (+ 0 1) into 1 7.255 * [backup-simplify]: Simplify (- 1) into -1 7.255 * [backup-simplify]: Simplify (- n) into (- n) 7.255 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 7.255 * [backup-simplify]: Simplify (/ 1 (sqrt (- n))) into (/ 1 (sqrt (- n))) 7.255 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- n))) in n 7.255 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 7.255 * [taylor]: Taking taylor expansion of (- n) in n 7.255 * [taylor]: Taking taylor expansion of n in n 7.255 * [backup-simplify]: Simplify 0 into 0 7.255 * [backup-simplify]: Simplify 1 into 1 7.255 * [backup-simplify]: Simplify (- 0) into 0 7.256 * [backup-simplify]: Simplify (- 1) into -1 7.256 * [backup-simplify]: Simplify (sqrt 0) into 0 7.257 * [backup-simplify]: Simplify (- 1) into -1 7.258 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.259 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.259 * [backup-simplify]: Simplify (- 0) into 0 7.262 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.264 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.264 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (- n))) (/ (/ -1/2 (sqrt (- n))) (sqrt (- n)))))) into (* 1/2 (/ 1 (pow (sqrt (- n)) 3))) 7.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sqrt (- n)) 3))) in n 7.265 * [taylor]: Taking taylor expansion of 1/2 in n 7.265 * [backup-simplify]: Simplify 1/2 into 1/2 7.265 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (- n)) 3)) in n 7.265 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 3) in n 7.265 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 7.265 * [taylor]: Taking taylor expansion of (- n) in n 7.265 * [taylor]: Taking taylor expansion of n in n 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 1 into 1 7.265 * [backup-simplify]: Simplify (- 0) into 0 7.266 * [backup-simplify]: Simplify (- 1) into -1 7.266 * [backup-simplify]: Simplify (sqrt 0) into 0 7.267 * [backup-simplify]: Simplify (- 1) into -1 7.268 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.268 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.269 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.269 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.270 * [backup-simplify]: Simplify (- 0) into 0 7.270 * [backup-simplify]: Simplify (- 0) into 0 7.273 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.273 * [backup-simplify]: Simplify (- 0) into 0 7.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.289 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.292 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 7.294 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 7.296 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 7.300 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 7.302 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 7.305 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.308 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 7.312 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.318 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.321 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0)))) into (- +nan.0) 7.321 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.322 * [backup-simplify]: Simplify (- 0) into 0 7.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.329 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.330 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.331 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 7.331 * [backup-simplify]: Simplify (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) into (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) 7.331 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 7.331 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) in n 7.331 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 7.331 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 7.331 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.331 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.331 * [taylor]: Taking taylor expansion of f in n 7.331 * [backup-simplify]: Simplify f into f 7.331 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.332 * [taylor]: Taking taylor expansion of n in n 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 1 into 1 7.332 * [backup-simplify]: Simplify (/ 1 1) into 1 7.332 * [backup-simplify]: Simplify (+ 0 1) into 1 7.333 * [backup-simplify]: Simplify (- 1) into -1 7.333 * [backup-simplify]: Simplify (sqrt 0) into 0 7.333 * [backup-simplify]: Simplify (- 1) into -1 7.335 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.335 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.335 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) in f 7.335 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.335 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.335 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.335 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.335 * [taylor]: Taking taylor expansion of f in f 7.335 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify 1 into 1 7.336 * [backup-simplify]: Simplify (/ 1 1) into 1 7.336 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.336 * [taylor]: Taking taylor expansion of n in f 7.336 * [backup-simplify]: Simplify n into n 7.336 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.336 * [backup-simplify]: Simplify (+ 1 0) into 1 7.337 * [backup-simplify]: Simplify (- 1) into -1 7.337 * [backup-simplify]: Simplify (sqrt 0) into 0 7.338 * [backup-simplify]: Simplify (- 1) into -1 7.339 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.339 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.339 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) in f 7.339 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.339 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.339 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.339 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.339 * [taylor]: Taking taylor expansion of f in f 7.339 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify 1 into 1 7.340 * [backup-simplify]: Simplify (/ 1 1) into 1 7.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.340 * [taylor]: Taking taylor expansion of n in f 7.340 * [backup-simplify]: Simplify n into n 7.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.340 * [backup-simplify]: Simplify (+ 1 0) into 1 7.341 * [backup-simplify]: Simplify (- 1) into -1 7.341 * [backup-simplify]: Simplify (sqrt 0) into 0 7.342 * [backup-simplify]: Simplify (- 1) into -1 7.343 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.343 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.343 * [taylor]: Taking taylor expansion of +nan.0 in n 7.343 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.343 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.344 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.344 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.346 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 7.347 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* +nan.0 (+ (/ 1 n) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.347 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.347 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.347 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.347 * [taylor]: Taking taylor expansion of +nan.0 in n 7.347 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.347 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.347 * [taylor]: Taking taylor expansion of n in n 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify 1 into 1 7.347 * [backup-simplify]: Simplify (/ 1 1) into 1 7.347 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.347 * [taylor]: Taking taylor expansion of +nan.0 in n 7.347 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.349 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.349 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.350 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.351 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.351 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.351 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.353 * [backup-simplify]: Simplify (+ 0 0) into 0 7.353 * [backup-simplify]: Simplify (- 0) into 0 7.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.356 * [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))))) 7.356 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 7.356 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.356 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.356 * [taylor]: Taking taylor expansion of +nan.0 in n 7.356 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.356 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.356 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.356 * [taylor]: Taking taylor expansion of n in n 7.356 * [backup-simplify]: Simplify 0 into 0 7.356 * [backup-simplify]: Simplify 1 into 1 7.357 * [backup-simplify]: Simplify (* 1 1) into 1 7.357 * [backup-simplify]: Simplify (/ 1 1) into 1 7.357 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.357 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.357 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.357 * [taylor]: Taking taylor expansion of +nan.0 in n 7.357 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.357 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.357 * [taylor]: Taking taylor expansion of n in n 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify 1 into 1 7.358 * [backup-simplify]: Simplify (/ 1 1) into 1 7.358 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.358 * [taylor]: Taking taylor expansion of +nan.0 in n 7.358 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.362 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.364 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.364 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.365 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.366 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.366 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.367 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.368 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.369 * [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))))) 7.369 * [backup-simplify]: Simplify (/ 1 (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) 7.369 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 7.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in n 7.369 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 7.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.369 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.369 * [taylor]: Taking taylor expansion of f in n 7.369 * [backup-simplify]: Simplify f into f 7.369 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.369 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.369 * [taylor]: Taking taylor expansion of n in n 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 1 into 1 7.370 * [backup-simplify]: Simplify (/ 1 1) into 1 7.370 * [backup-simplify]: Simplify (+ 0 1) into 1 7.371 * [backup-simplify]: Simplify (/ 1 1) into 1 7.371 * [backup-simplify]: Simplify (sqrt 0) into 0 7.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in f 7.372 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 7.372 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.372 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.372 * [taylor]: Taking taylor expansion of f in f 7.373 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify 1 into 1 7.373 * [backup-simplify]: Simplify (/ 1 1) into 1 7.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.373 * [taylor]: Taking taylor expansion of n in f 7.373 * [backup-simplify]: Simplify n into n 7.373 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.373 * [backup-simplify]: Simplify (+ 1 0) into 1 7.374 * [backup-simplify]: Simplify (/ 1 1) into 1 7.374 * [backup-simplify]: Simplify (sqrt 0) into 0 7.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in f 7.376 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 7.376 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.376 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.376 * [taylor]: Taking taylor expansion of f in f 7.376 * [backup-simplify]: Simplify 0 into 0 7.376 * [backup-simplify]: Simplify 1 into 1 7.376 * [backup-simplify]: Simplify (/ 1 1) into 1 7.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.376 * [taylor]: Taking taylor expansion of n in f 7.376 * [backup-simplify]: Simplify n into n 7.376 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.377 * [backup-simplify]: Simplify (+ 1 0) into 1 7.377 * [backup-simplify]: Simplify (/ 1 1) into 1 7.377 * [backup-simplify]: Simplify (sqrt 0) into 0 7.379 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.379 * [taylor]: Taking taylor expansion of 0 in n 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [taylor]: Taking taylor expansion of +nan.0 in n 7.379 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.379 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.379 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.380 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.381 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 7.381 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 n) (- +nan.0))) in n 7.381 * [taylor]: Taking taylor expansion of +nan.0 in n 7.381 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.382 * [taylor]: Taking taylor expansion of (+ (/ 1 n) (- +nan.0)) in n 7.382 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.382 * [taylor]: Taking taylor expansion of n in n 7.382 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify 1 into 1 7.382 * [backup-simplify]: Simplify (/ 1 1) into 1 7.382 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.382 * [taylor]: Taking taylor expansion of +nan.0 in n 7.382 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.383 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.384 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.385 * [backup-simplify]: Simplify (+ 1 0) into 1 7.386 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* 0 1)) into (- +nan.0) 7.387 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.388 * [backup-simplify]: Simplify (+ 0 0) into 0 7.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.390 * [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)))) 7.390 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 (pow n 2)) (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.390 * [taylor]: Taking taylor expansion of +nan.0 in n 7.390 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.390 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.390 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.390 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.390 * [taylor]: Taking taylor expansion of n in n 7.390 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (* 1 1) into 1 7.391 * [backup-simplify]: Simplify (/ 1 1) into 1 7.391 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.391 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.391 * [taylor]: Taking taylor expansion of +nan.0 in n 7.391 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.391 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.391 * [taylor]: Taking taylor expansion of n in n 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.392 * [backup-simplify]: Simplify (/ 1 1) into 1 7.392 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.392 * [taylor]: Taking taylor expansion of +nan.0 in n 7.392 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.397 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.398 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.399 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.399 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.399 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.400 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.400 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.401 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.401 * [backup-simplify]: Simplify (+ 1 0) into 1 7.402 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 1))) into (- +nan.0) 7.403 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.403 * [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)))))))) 7.404 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.404 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))))) into (/ (pow (sqrt (- (+ n f))) 2) (- f n)) 7.404 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in (f n) around 0 7.404 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in n 7.404 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in n 7.404 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 7.404 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 7.404 * [taylor]: Taking taylor expansion of (+ n f) in n 7.404 * [taylor]: Taking taylor expansion of n in n 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify 1 into 1 7.404 * [taylor]: Taking taylor expansion of f in n 7.404 * [backup-simplify]: Simplify f into f 7.404 * [backup-simplify]: Simplify (+ 0 f) into f 7.404 * [backup-simplify]: Simplify (- f) into (- f) 7.404 * [backup-simplify]: Simplify (- f) into (- f) 7.404 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 7.404 * [backup-simplify]: Simplify (+ 1 0) into 1 7.405 * [backup-simplify]: Simplify (- 1) into -1 7.405 * [backup-simplify]: Simplify (- f) into (- f) 7.405 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 7.405 * [taylor]: Taking taylor expansion of (- f n) in n 7.405 * [taylor]: Taking taylor expansion of f in n 7.405 * [backup-simplify]: Simplify f into f 7.405 * [taylor]: Taking taylor expansion of n in n 7.405 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify 1 into 1 7.405 * [backup-simplify]: Simplify (* (sqrt (- f)) (sqrt (- f))) into (pow (sqrt (- f)) 2) 7.405 * [backup-simplify]: Simplify (- 0) into 0 7.405 * [backup-simplify]: Simplify (+ f 0) into f 7.405 * [backup-simplify]: Simplify (/ (pow (sqrt (- f)) 2) f) into (/ (pow (sqrt (- f)) 2) f) 7.405 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in f 7.405 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 7.405 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 7.405 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 7.405 * [taylor]: Taking taylor expansion of (+ n f) in f 7.405 * [taylor]: Taking taylor expansion of n in f 7.405 * [backup-simplify]: Simplify n into n 7.405 * [taylor]: Taking taylor expansion of f in f 7.405 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify 1 into 1 7.405 * [backup-simplify]: Simplify (+ n 0) into n 7.405 * [backup-simplify]: Simplify (- n) into (- n) 7.405 * [backup-simplify]: Simplify (- n) into (- n) 7.406 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 7.406 * [backup-simplify]: Simplify (+ 0 1) into 1 7.406 * [backup-simplify]: Simplify (- 1) into -1 7.406 * [backup-simplify]: Simplify (- n) into (- n) 7.406 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 7.406 * [taylor]: Taking taylor expansion of (- f n) in f 7.406 * [taylor]: Taking taylor expansion of f in f 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 1 into 1 7.406 * [taylor]: Taking taylor expansion of n in f 7.406 * [backup-simplify]: Simplify n into n 7.406 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 7.406 * [backup-simplify]: Simplify (- n) into (- n) 7.406 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.406 * [backup-simplify]: Simplify (/ (pow (sqrt (- n)) 2) (- n)) into (* -1 (/ (pow (sqrt (- n)) 2) n)) 7.406 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in f 7.406 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 7.407 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 7.407 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 7.407 * [taylor]: Taking taylor expansion of (+ n f) in f 7.407 * [taylor]: Taking taylor expansion of n in f 7.407 * [backup-simplify]: Simplify n into n 7.407 * [taylor]: Taking taylor expansion of f in f 7.407 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [backup-simplify]: Simplify (+ n 0) into n 7.407 * [backup-simplify]: Simplify (- n) into (- n) 7.407 * [backup-simplify]: Simplify (- n) into (- n) 7.407 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 7.407 * [backup-simplify]: Simplify (+ 0 1) into 1 7.407 * [backup-simplify]: Simplify (- 1) into -1 7.407 * [backup-simplify]: Simplify (- n) into (- n) 7.407 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 7.407 * [taylor]: Taking taylor expansion of (- f n) in f 7.407 * [taylor]: Taking taylor expansion of f in f 7.407 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [taylor]: Taking taylor expansion of n in f 7.407 * [backup-simplify]: Simplify n into n 7.407 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 7.408 * [backup-simplify]: Simplify (- n) into (- n) 7.408 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.408 * [backup-simplify]: Simplify (/ (pow (sqrt (- n)) 2) (- n)) into (* -1 (/ (pow (sqrt (- n)) 2) n)) 7.408 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- n)) 2) n)) in n 7.408 * [taylor]: Taking taylor expansion of -1 in n 7.408 * [backup-simplify]: Simplify -1 into -1 7.408 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) n) in n 7.408 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 7.408 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 7.408 * [taylor]: Taking taylor expansion of (- n) in n 7.408 * [taylor]: Taking taylor expansion of n in n 7.408 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify 1 into 1 7.408 * [backup-simplify]: Simplify (- 0) into 0 7.408 * [backup-simplify]: Simplify (- 1) into -1 7.409 * [backup-simplify]: Simplify (sqrt 0) into 0 7.409 * [backup-simplify]: Simplify (- 1) into -1 7.410 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.410 * [taylor]: Taking taylor expansion of n in n 7.410 * [backup-simplify]: Simplify 0 into 0 7.410 * [backup-simplify]: Simplify 1 into 1 7.410 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.410 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 7.410 * [backup-simplify]: Simplify (+ (* (sqrt (- n)) (/ -1/2 (sqrt (- n)))) (* (/ -1/2 (sqrt (- n))) (sqrt (- n)))) into (- 1) 7.411 * [backup-simplify]: Simplify (- 0) into 0 7.411 * [backup-simplify]: Simplify (+ 1 0) into 1 7.411 * [backup-simplify]: Simplify (- (/ (- 1) (- n)) (+ (* (* -1 (/ (pow (sqrt (- n)) 2) n)) (/ 1 (- n))))) into (- (/ 1 n) (/ (pow (sqrt (- n)) 2) (pow n 2))) 7.411 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ (pow (sqrt (- n)) 2) (pow n 2))) in n 7.411 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.411 * [taylor]: Taking taylor expansion of n in n 7.411 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify 1 into 1 7.412 * [backup-simplify]: Simplify (/ 1 1) into 1 7.412 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) (pow n 2)) in n 7.412 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 7.412 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 7.412 * [taylor]: Taking taylor expansion of (- n) in n 7.412 * [taylor]: Taking taylor expansion of n in n 7.412 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify 1 into 1 7.412 * [backup-simplify]: Simplify (- 0) into 0 7.412 * [backup-simplify]: Simplify (- 1) into -1 7.413 * [backup-simplify]: Simplify (sqrt 0) into 0 7.413 * [backup-simplify]: Simplify (- 1) into -1 7.413 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.414 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.414 * [taylor]: Taking taylor expansion of n in n 7.414 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify 1 into 1 7.414 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.414 * [backup-simplify]: Simplify (* 1 1) into 1 7.414 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 7.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.420 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.420 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.420 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.421 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 7.421 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.421 * [backup-simplify]: Simplify (+ 0 0) into 0 7.421 * [backup-simplify]: Simplify (- 0) into 0 7.422 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt (- n))) 2) (+)) (* 2 (sqrt (- n)))) into (/ -1/8 (pow (sqrt (- n)) 3)) 7.422 * [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 7.422 * [backup-simplify]: Simplify (- 0) into 0 7.423 * [backup-simplify]: Simplify (+ 0 0) into 0 7.423 * [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))) 7.423 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ (pow (sqrt (- n)) 2) (pow n 3))) in n 7.423 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.423 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.423 * [taylor]: Taking taylor expansion of n in n 7.423 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify 1 into 1 7.424 * [backup-simplify]: Simplify (* 1 1) into 1 7.424 * [backup-simplify]: Simplify (/ 1 1) into 1 7.424 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) (pow n 3)) in n 7.424 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 7.424 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 7.424 * [taylor]: Taking taylor expansion of (- n) in n 7.424 * [taylor]: Taking taylor expansion of n in n 7.424 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify 1 into 1 7.424 * [backup-simplify]: Simplify (- 0) into 0 7.424 * [backup-simplify]: Simplify (- 1) into -1 7.425 * [backup-simplify]: Simplify (sqrt 0) into 0 7.425 * [backup-simplify]: Simplify (- 1) into -1 7.426 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.426 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.426 * [taylor]: Taking taylor expansion of n in n 7.426 * [backup-simplify]: Simplify 0 into 0 7.426 * [backup-simplify]: Simplify 1 into 1 7.426 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.426 * [backup-simplify]: Simplify (* 1 1) into 1 7.427 * [backup-simplify]: Simplify (* 1 1) into 1 7.427 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 7.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.431 * [backup-simplify]: Simplify (- 0) into 0 7.434 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.435 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 7.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.439 * [backup-simplify]: Simplify (- (/ (- +nan.0) 1) (+ (* +nan.0 (/ 0 1)))) into (- +nan.0) 7.439 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.440 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.441 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.442 * [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)))))) 7.442 * [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))) 7.442 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in (f n) around 0 7.442 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in n 7.442 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 7.443 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 7.443 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 7.443 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.443 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.443 * [taylor]: Taking taylor expansion of f in n 7.443 * [backup-simplify]: Simplify f into f 7.443 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.443 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.443 * [taylor]: Taking taylor expansion of n in n 7.443 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify 1 into 1 7.443 * [backup-simplify]: Simplify (/ 1 1) into 1 7.444 * [backup-simplify]: Simplify (+ 0 1) into 1 7.444 * [backup-simplify]: Simplify (- 1) into -1 7.444 * [backup-simplify]: Simplify (sqrt 0) into 0 7.445 * [backup-simplify]: Simplify (- 1) into -1 7.446 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.446 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.446 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.446 * [taylor]: Taking taylor expansion of f in n 7.446 * [backup-simplify]: Simplify f into f 7.446 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.446 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.446 * [taylor]: Taking taylor expansion of n in n 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 1 into 1 7.447 * [backup-simplify]: Simplify (/ 1 1) into 1 7.447 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.448 * [backup-simplify]: Simplify (- 1) into -1 7.448 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.449 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 7.449 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in f 7.449 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 7.449 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.449 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.449 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.449 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.449 * [taylor]: Taking taylor expansion of f in f 7.449 * [backup-simplify]: Simplify 0 into 0 7.449 * [backup-simplify]: Simplify 1 into 1 7.449 * [backup-simplify]: Simplify (/ 1 1) into 1 7.450 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.450 * [taylor]: Taking taylor expansion of n in f 7.450 * [backup-simplify]: Simplify n into n 7.450 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.450 * [backup-simplify]: Simplify (+ 1 0) into 1 7.450 * [backup-simplify]: Simplify (- 1) into -1 7.451 * [backup-simplify]: Simplify (sqrt 0) into 0 7.451 * [backup-simplify]: Simplify (- 1) into -1 7.453 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.453 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.453 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.453 * [taylor]: Taking taylor expansion of f in f 7.453 * [backup-simplify]: Simplify 0 into 0 7.453 * [backup-simplify]: Simplify 1 into 1 7.453 * [backup-simplify]: Simplify (/ 1 1) into 1 7.453 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.453 * [taylor]: Taking taylor expansion of n in f 7.453 * [backup-simplify]: Simplify n into n 7.453 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.454 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.454 * [backup-simplify]: Simplify (+ 1 0) into 1 7.455 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 7.455 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in f 7.455 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 7.455 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.455 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.455 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.455 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.455 * [taylor]: Taking taylor expansion of f in f 7.455 * [backup-simplify]: Simplify 0 into 0 7.455 * [backup-simplify]: Simplify 1 into 1 7.455 * [backup-simplify]: Simplify (/ 1 1) into 1 7.455 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.455 * [taylor]: Taking taylor expansion of n in f 7.455 * [backup-simplify]: Simplify n into n 7.455 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.456 * [backup-simplify]: Simplify (+ 1 0) into 1 7.456 * [backup-simplify]: Simplify (- 1) into -1 7.457 * [backup-simplify]: Simplify (sqrt 0) into 0 7.457 * [backup-simplify]: Simplify (- 1) into -1 7.458 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.458 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.458 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.458 * [taylor]: Taking taylor expansion of f in f 7.458 * [backup-simplify]: Simplify 0 into 0 7.458 * [backup-simplify]: Simplify 1 into 1 7.459 * [backup-simplify]: Simplify (/ 1 1) into 1 7.459 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.459 * [taylor]: Taking taylor expansion of n in f 7.459 * [backup-simplify]: Simplify n into n 7.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.459 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.460 * [backup-simplify]: Simplify (+ 1 0) into 1 7.460 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 7.460 * [taylor]: Taking taylor expansion of +nan.0 in n 7.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.460 * [backup-simplify]: Simplify 0 into 0 7.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.461 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.461 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.463 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 7.464 * [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))) 7.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.465 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.465 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.466 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1) (+ (* +nan.0 (/ (- (/ 1 n)) 1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.466 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.466 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.466 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.466 * [taylor]: Taking taylor expansion of +nan.0 in n 7.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.466 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.466 * [taylor]: Taking taylor expansion of n in n 7.466 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify 1 into 1 7.466 * [backup-simplify]: Simplify (/ 1 1) into 1 7.466 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.466 * [taylor]: Taking taylor expansion of +nan.0 in n 7.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.469 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.469 * [backup-simplify]: Simplify (- 0) into 0 7.470 * [backup-simplify]: Simplify (+ 0 0) into 0 7.470 * [backup-simplify]: Simplify (- 0) into 0 7.470 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.472 * [backup-simplify]: Simplify (+ 0 0) into 0 7.472 * [backup-simplify]: Simplify (- 0) into 0 7.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.475 * [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))))) 7.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.477 * [backup-simplify]: Simplify (- 0) into 0 7.477 * [backup-simplify]: Simplify (+ 0 0) into 0 7.479 * [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))))) 7.479 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 7.480 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.480 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.480 * [taylor]: Taking taylor expansion of +nan.0 in n 7.480 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.480 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.480 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.480 * [taylor]: Taking taylor expansion of n in n 7.480 * [backup-simplify]: Simplify 0 into 0 7.480 * [backup-simplify]: Simplify 1 into 1 7.480 * [backup-simplify]: Simplify (* 1 1) into 1 7.481 * [backup-simplify]: Simplify (/ 1 1) into 1 7.481 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.481 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.481 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.481 * [taylor]: Taking taylor expansion of +nan.0 in n 7.481 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.481 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.481 * [taylor]: Taking taylor expansion of n in n 7.481 * [backup-simplify]: Simplify 0 into 0 7.481 * [backup-simplify]: Simplify 1 into 1 7.481 * [backup-simplify]: Simplify (/ 1 1) into 1 7.481 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.481 * [taylor]: Taking taylor expansion of +nan.0 in n 7.481 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.488 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.490 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.491 * [backup-simplify]: Simplify (- 0) into 0 7.491 * [backup-simplify]: Simplify (+ 0 0) into 0 7.492 * [backup-simplify]: Simplify (- 0) into 0 7.492 * [backup-simplify]: Simplify (+ 0 0) into 0 7.492 * [backup-simplify]: Simplify (- 0) into 0 7.492 * [backup-simplify]: Simplify 0 into 0 7.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.494 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.495 * [backup-simplify]: Simplify (- 0) into 0 7.495 * [backup-simplify]: Simplify (+ 0 0) into 0 7.496 * [backup-simplify]: Simplify (- 0) into 0 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [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))) 7.496 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.497 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.497 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.497 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.497 * [taylor]: Taking taylor expansion of f in n 7.497 * [backup-simplify]: Simplify f into f 7.497 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.497 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.497 * [taylor]: Taking taylor expansion of n in n 7.497 * [backup-simplify]: Simplify 0 into 0 7.497 * [backup-simplify]: Simplify 1 into 1 7.497 * [backup-simplify]: Simplify (/ 1 1) into 1 7.498 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.498 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.498 * [taylor]: Taking taylor expansion of n in n 7.498 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify 1 into 1 7.498 * [backup-simplify]: Simplify (/ 1 1) into 1 7.498 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.498 * [taylor]: Taking taylor expansion of f in n 7.498 * [backup-simplify]: Simplify f into f 7.498 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.499 * [backup-simplify]: Simplify (+ 0 1) into 1 7.499 * [backup-simplify]: Simplify (+ 1 0) into 1 7.499 * [backup-simplify]: Simplify (/ 1 1) into 1 7.499 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.500 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.500 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.500 * [taylor]: Taking taylor expansion of f in f 7.500 * [backup-simplify]: Simplify 0 into 0 7.500 * [backup-simplify]: Simplify 1 into 1 7.500 * [backup-simplify]: Simplify (/ 1 1) into 1 7.500 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.500 * [taylor]: Taking taylor expansion of n in f 7.500 * [backup-simplify]: Simplify n into n 7.500 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.500 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.500 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.500 * [taylor]: Taking taylor expansion of n in f 7.500 * [backup-simplify]: Simplify n into n 7.500 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.500 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.500 * [taylor]: Taking taylor expansion of f in f 7.500 * [backup-simplify]: Simplify 0 into 0 7.501 * [backup-simplify]: Simplify 1 into 1 7.501 * [backup-simplify]: Simplify (/ 1 1) into 1 7.501 * [backup-simplify]: Simplify (+ 1 0) into 1 7.502 * [backup-simplify]: Simplify (- 1) into -1 7.502 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.503 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.503 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.503 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.503 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.503 * [taylor]: Taking taylor expansion of f in f 7.503 * [backup-simplify]: Simplify 0 into 0 7.503 * [backup-simplify]: Simplify 1 into 1 7.503 * [backup-simplify]: Simplify (/ 1 1) into 1 7.503 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.503 * [taylor]: Taking taylor expansion of n in f 7.503 * [backup-simplify]: Simplify n into n 7.503 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.503 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.503 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.503 * [taylor]: Taking taylor expansion of n in f 7.503 * [backup-simplify]: Simplify n into n 7.503 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.503 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.503 * [taylor]: Taking taylor expansion of f in f 7.504 * [backup-simplify]: Simplify 0 into 0 7.504 * [backup-simplify]: Simplify 1 into 1 7.504 * [backup-simplify]: Simplify (/ 1 1) into 1 7.504 * [backup-simplify]: Simplify (+ 1 0) into 1 7.505 * [backup-simplify]: Simplify (- 1) into -1 7.505 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.506 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.506 * [taylor]: Taking taylor expansion of -1 in n 7.506 * [backup-simplify]: Simplify -1 into -1 7.506 * [backup-simplify]: Simplify -1 into -1 7.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.506 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.507 * [backup-simplify]: Simplify (- 0) into 0 7.507 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.507 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.507 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.507 * [taylor]: Taking taylor expansion of 2 in n 7.507 * [backup-simplify]: Simplify 2 into 2 7.507 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.507 * [taylor]: Taking taylor expansion of n in n 7.507 * [backup-simplify]: Simplify 0 into 0 7.507 * [backup-simplify]: Simplify 1 into 1 7.508 * [backup-simplify]: Simplify (/ 1 1) into 1 7.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.509 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.509 * [backup-simplify]: Simplify (- 0) into 0 7.509 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.510 * [backup-simplify]: Simplify (+ 0 0) into 0 7.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.510 * [backup-simplify]: Simplify (- 0) into 0 7.511 * [backup-simplify]: Simplify (+ 0 0) into 0 7.511 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.511 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.511 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.511 * [taylor]: Taking taylor expansion of 2 in n 7.511 * [backup-simplify]: Simplify 2 into 2 7.512 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.512 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.512 * [taylor]: Taking taylor expansion of n in n 7.512 * [backup-simplify]: Simplify 0 into 0 7.512 * [backup-simplify]: Simplify 1 into 1 7.512 * [backup-simplify]: Simplify (* 1 1) into 1 7.512 * [backup-simplify]: Simplify (/ 1 1) into 1 7.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.515 * [backup-simplify]: Simplify (- 0) into 0 7.515 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.516 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.516 * [backup-simplify]: Simplify (- 0) into 0 7.516 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.517 * [backup-simplify]: Simplify (+ 0 0) into 0 7.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.518 * [backup-simplify]: Simplify (- 0) into 0 7.518 * [backup-simplify]: Simplify (+ 0 0) into 0 7.519 * [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)))) 7.519 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.519 * [taylor]: Taking taylor expansion of 2 in n 7.519 * [backup-simplify]: Simplify 2 into 2 7.519 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.519 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.519 * [taylor]: Taking taylor expansion of n in n 7.519 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify 1 into 1 7.520 * [backup-simplify]: Simplify (* 1 1) into 1 7.520 * [backup-simplify]: Simplify (* 1 1) into 1 7.520 * [backup-simplify]: Simplify (/ 1 1) into 1 7.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.525 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.525 * [backup-simplify]: Simplify (- 0) into 0 7.525 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify -1 into -1 7.525 * * * [progress]: simplifying candidates 7.532 * [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 (- (+ f n)))))) (cbrt (/ (- f n) (sqrt (- (+ f n))))) (* (* (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n))))) (/ (- f n) (sqrt (- (+ f n))))) (sqrt (/ (- f n) (sqrt (- (+ f n))))) (sqrt (/ (- f n) (sqrt (- (+ f 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