1.034 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.091 * * * [progress]: [2/2] Setting up program. 0.096 * [progress]: [Phase 2 of 3] Improving. 0.099 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.101 * * [simplify]: Extracting # 0 : cost 0 0.101 * * [simplify]: Extracting # 1 : cost 0 0.101 * * [simplify]: Extracting # 2 : cost 0 0.101 * * [simplify]: Extracting # 3 : cost 0 0.101 * * [simplify]: Extracting # 4 : cost 0 0.101 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.108 * * [simplify]: Extracting # 0 : cost 0 0.108 * * [simplify]: Extracting # 1 : cost 0 0.108 * * [simplify]: Extracting # 2 : cost 0 0.108 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.113 * * [simplify]: Extracting # 0 : cost 0 0.113 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.117 * * [simplify]: Extracting # 0 : cost 0 0.117 * * [simplify]: Extracting # 1 : cost 0 0.117 * * [simplify]: Extracting # 2 : cost 0 0.117 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.121 * * [simplify]: Extracting # 0 : cost 0 0.121 * * [simplify]: Extracting # 1 : cost 0 0.121 * * [simplify]: Extracting # 2 : cost 0 0.121 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.125 * * [simplify]: Extracting # 0 : cost 0 0.125 * * [simplify]: Extracting # 1 : cost 0 0.125 * * [simplify]: Extracting # 2 : cost 0 0.125 * * [simplify]: iteration 5 : 29 enodes (cost 8 ) 0.129 * * [simplify]: Extracting # 0 : cost 0 0.129 * * [simplify]: iteration 6 : 31 enodes (cost 8 ) 0.134 * * [simplify]: Extracting # 0 : cost 0 0.134 * * [simplify]: iteration done: 31 enodes (cost 8 ) 0.162 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.164 * * [progress]: iteration 1 / 4 0.164 * * * [progress]: picking best candidate 0.166 * * * * [pick]: Picked # 0.166 * * * [progress]: localizing error 0.176 * * * [progress]: generating rewritten candidates 0.176 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.219 * * * [progress]: generating series expansions 0.219 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.224 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.224 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.225 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.225 * [taylor]: Taking taylor expansion of -1 in n 0.225 * [backup-simplify]: Simplify -1 into -1 0.225 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.225 * [taylor]: Taking taylor expansion of (+ n f) in n 0.225 * [taylor]: Taking taylor expansion of n in n 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of f in n 0.225 * [backup-simplify]: Simplify f into f 0.225 * [taylor]: Taking taylor expansion of (- f n) in n 0.225 * [taylor]: Taking taylor expansion of f in n 0.225 * [backup-simplify]: Simplify f into f 0.225 * [taylor]: Taking taylor expansion of n in n 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (+ 0 f) into f 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ f 0) into f 0.226 * [backup-simplify]: Simplify (/ f f) into 1 0.226 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.226 * [taylor]: Taking taylor expansion of -1 in f 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.226 * [taylor]: Taking taylor expansion of (+ n f) in f 0.226 * [taylor]: Taking taylor expansion of n in f 0.226 * [backup-simplify]: Simplify n into n 0.226 * [taylor]: Taking taylor expansion of f in f 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (- f n) in f 0.226 * [taylor]: Taking taylor expansion of f in f 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of n in f 0.226 * [backup-simplify]: Simplify n into n 0.226 * [backup-simplify]: Simplify (+ n 0) into n 0.226 * [backup-simplify]: Simplify (- n) into (- n) 0.227 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.227 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.227 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.227 * [taylor]: Taking taylor expansion of -1 in f 0.227 * [backup-simplify]: Simplify -1 into -1 0.227 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.227 * [taylor]: Taking taylor expansion of (+ n f) in f 0.227 * [taylor]: Taking taylor expansion of n in f 0.227 * [backup-simplify]: Simplify n into n 0.227 * [taylor]: Taking taylor expansion of f in f 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (- f n) in f 0.227 * [taylor]: Taking taylor expansion of f in f 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of n in f 0.227 * [backup-simplify]: Simplify n into n 0.227 * [backup-simplify]: Simplify (+ n 0) into n 0.227 * [backup-simplify]: Simplify (- n) into (- n) 0.227 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.227 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.228 * [backup-simplify]: Simplify (* -1 -1) into 1 0.228 * [taylor]: Taking taylor expansion of 1 in n 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ 0 1) into 1 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.229 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.230 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.230 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.230 * [taylor]: Taking taylor expansion of 2 in n 0.230 * [backup-simplify]: Simplify 2 into 2 0.230 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.230 * [taylor]: Taking taylor expansion of n in n 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.236 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.236 * [taylor]: Taking taylor expansion of 2 in n 0.236 * [backup-simplify]: Simplify 2 into 2 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.236 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.236 * [taylor]: Taking taylor expansion of n in n 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [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)))) 0.260 * [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))) 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.260 * [taylor]: Taking taylor expansion of 2 in n 0.260 * [backup-simplify]: Simplify 2 into 2 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.260 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.260 * [taylor]: Taking taylor expansion of n in n 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.273 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.273 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.273 * [taylor]: Taking taylor expansion of -1 in n 0.273 * [backup-simplify]: Simplify -1 into -1 0.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.273 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.273 * [taylor]: Taking taylor expansion of f in n 0.273 * [backup-simplify]: Simplify f into f 0.273 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.273 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.273 * [taylor]: Taking taylor expansion of n in n 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.274 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.274 * [taylor]: Taking taylor expansion of f in n 0.274 * [backup-simplify]: Simplify f into f 0.274 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.274 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.274 * [taylor]: Taking taylor expansion of n in n 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (+ 0 1) into 1 0.275 * [backup-simplify]: Simplify (- 1) into -1 0.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.276 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.276 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.276 * [taylor]: Taking taylor expansion of -1 in f 0.276 * [backup-simplify]: Simplify -1 into -1 0.276 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.276 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.277 * [taylor]: Taking taylor expansion of f in f 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.277 * [taylor]: Taking taylor expansion of n in f 0.277 * [backup-simplify]: Simplify n into n 0.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.277 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.277 * [taylor]: Taking taylor expansion of f in f 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.278 * [taylor]: Taking taylor expansion of n in f 0.278 * [backup-simplify]: Simplify n into n 0.278 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.279 * [backup-simplify]: Simplify (+ 1 0) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.279 * [taylor]: Taking taylor expansion of -1 in f 0.279 * [backup-simplify]: Simplify -1 into -1 0.279 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.279 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.279 * [taylor]: Taking taylor expansion of f in f 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.280 * [taylor]: Taking taylor expansion of n in f 0.280 * [backup-simplify]: Simplify n into n 0.280 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.280 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.280 * [taylor]: Taking taylor expansion of f in f 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.280 * [taylor]: Taking taylor expansion of n in f 0.280 * [backup-simplify]: Simplify n into n 0.280 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.281 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (+ 1 0) into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify (* -1 1) into -1 0.282 * [taylor]: Taking taylor expansion of -1 in n 0.282 * [backup-simplify]: Simplify -1 into -1 0.282 * [backup-simplify]: Simplify -1 into -1 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.285 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.285 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.285 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.285 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.285 * [taylor]: Taking taylor expansion of 2 in n 0.286 * [backup-simplify]: Simplify 2 into 2 0.286 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.293 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.293 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.293 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.293 * [taylor]: Taking taylor expansion of 2 in n 0.293 * [backup-simplify]: Simplify 2 into 2 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.293 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.293 * [taylor]: Taking taylor expansion of n in n 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (* 1 1) into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [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 0.309 * [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 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify -1 into -1 0.320 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.320 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.320 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.320 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.320 * [taylor]: Taking taylor expansion of f in n 0.320 * [backup-simplify]: Simplify f into f 0.320 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.320 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.321 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.321 * [taylor]: Taking taylor expansion of n in n 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.322 * [taylor]: Taking taylor expansion of f in n 0.322 * [backup-simplify]: Simplify f into f 0.322 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.322 * [backup-simplify]: Simplify (+ 0 1) into 1 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.323 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.323 * [taylor]: Taking taylor expansion of f in f 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.324 * [taylor]: Taking taylor expansion of n in f 0.324 * [backup-simplify]: Simplify n into n 0.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.324 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.324 * [taylor]: Taking taylor expansion of n in f 0.324 * [backup-simplify]: Simplify n into n 0.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.324 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.324 * [taylor]: Taking taylor expansion of f in f 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (- 1) into -1 0.326 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.326 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.326 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.326 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.326 * [taylor]: Taking taylor expansion of f in f 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.327 * [taylor]: Taking taylor expansion of n in f 0.327 * [backup-simplify]: Simplify n into n 0.327 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.327 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.327 * [taylor]: Taking taylor expansion of n in f 0.327 * [backup-simplify]: Simplify n into n 0.327 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.327 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.327 * [taylor]: Taking taylor expansion of f in f 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 0) into 1 0.328 * [backup-simplify]: Simplify (- 1) into -1 0.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.329 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.329 * [taylor]: Taking taylor expansion of -1 in n 0.329 * [backup-simplify]: Simplify -1 into -1 0.329 * [backup-simplify]: Simplify -1 into -1 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.332 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.332 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.332 * [taylor]: Taking taylor expansion of 2 in n 0.332 * [backup-simplify]: Simplify 2 into 2 0.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.339 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.339 * [taylor]: Taking taylor expansion of 2 in n 0.339 * [backup-simplify]: Simplify 2 into 2 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.339 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.339 * [taylor]: Taking taylor expansion of n in n 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [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)))) 0.353 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.353 * [taylor]: Taking taylor expansion of 2 in n 0.353 * [backup-simplify]: Simplify 2 into 2 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.353 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify -1 into -1 0.364 * * * [progress]: simplifying candidates 0.367 * [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 0.372 * * [simplify]: Extracting # 0 : cost 0 0.372 * * [simplify]: Extracting # 1 : cost 0 0.372 * * [simplify]: Extracting # 2 : cost 0 0.373 * * [simplify]: Extracting # 3 : cost 0 0.373 * * [simplify]: Extracting # 4 : cost 0 0.373 * * [simplify]: Extracting # 5 : cost 0 0.374 * * [simplify]: Extracting # 6 : cost 0 0.374 * * [simplify]: Extracting # 7 : cost 0 0.374 * * [simplify]: iteration 0 : 133 enodes (cost 1451 ) 0.415 * * [simplify]: Extracting # 0 : cost 0 0.415 * * [simplify]: Extracting # 1 : cost 0 0.415 * * [simplify]: Extracting # 2 : cost 0 0.416 * * [simplify]: Extracting # 3 : cost 0 0.416 * * [simplify]: Extracting # 4 : cost 0 0.416 * * [simplify]: iteration 1 : 287 enodes (cost 1378 ) 0.475 * * [simplify]: Extracting # 0 : cost 0 0.476 * * [simplify]: Extracting # 1 : cost 0 0.480 * * [simplify]: Extracting # 2 : cost 0 0.482 * * [simplify]: Extracting # 3 : cost 0 0.483 * * [simplify]: Extracting # 4 : cost 0 0.484 * * [simplify]: iteration 2 : 690 enodes (cost 1348 ) 0.783 * * [simplify]: Extracting # 0 : cost 0 0.786 * * [simplify]: Extracting # 1 : cost 0 0.787 * * [simplify]: Extracting # 2 : cost 0 0.789 * * [simplify]: Extracting # 3 : cost 0 0.791 * * [simplify]: iteration 3 : 1825 enodes (cost 1340 ) 2.577 * * [simplify]: Extracting # 0 : cost 0 2.586 * * [simplify]: Extracting # 1 : cost 0 2.591 * * [simplify]: Extracting # 2 : cost 0 2.595 * * [simplify]: Extracting # 3 : cost 0 2.599 * * [simplify]: iteration 4 : 4716 enodes (cost 1340 ) 4.067 * * [simplify]: Extracting # 0 : cost 0 4.071 * * [simplify]: Extracting # 1 : cost 0 4.076 * * [simplify]: Extracting # 2 : cost 0 4.087 * * [simplify]: iteration done: 5001 enodes (cost 1340 ) 4.088 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) 1 -1 -1 4.089 * * * [progress]: adding candidates to table 4.282 * * [progress]: iteration 2 / 4 4.282 * * * [progress]: picking best candidate 4.287 * * * * [pick]: Picked # 4.287 * * * [progress]: localizing error 4.295 * * * [progress]: generating rewritten candidates 4.295 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 4.329 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.400 * * * [progress]: generating series expansions 4.400 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 4.400 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 4.400 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 4.400 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 4.400 * [taylor]: Taking taylor expansion of (- f n) in n 4.400 * [taylor]: Taking taylor expansion of f in n 4.400 * [backup-simplify]: Simplify f into f 4.400 * [taylor]: Taking taylor expansion of n in n 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [taylor]: Taking taylor expansion of (+ n f) in n 4.400 * [taylor]: Taking taylor expansion of n in n 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [taylor]: Taking taylor expansion of f in n 4.400 * [backup-simplify]: Simplify f into f 4.401 * [backup-simplify]: Simplify (- 0) into 0 4.401 * [backup-simplify]: Simplify (+ f 0) into f 4.401 * [backup-simplify]: Simplify (+ 0 f) into f 4.401 * [backup-simplify]: Simplify (/ f f) into 1 4.401 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 4.401 * [taylor]: Taking taylor expansion of (- f n) in f 4.401 * [taylor]: Taking taylor expansion of f in f 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [taylor]: Taking taylor expansion of n in f 4.401 * [backup-simplify]: Simplify n into n 4.401 * [taylor]: Taking taylor expansion of (+ n f) in f 4.401 * [taylor]: Taking taylor expansion of n in f 4.401 * [backup-simplify]: Simplify n into n 4.401 * [taylor]: Taking taylor expansion of f in f 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (- n) into (- n) 4.401 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.401 * [backup-simplify]: Simplify (+ n 0) into n 4.401 * [backup-simplify]: Simplify (/ (- n) n) into -1 4.401 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 4.401 * [taylor]: Taking taylor expansion of (- f n) in f 4.401 * [taylor]: Taking taylor expansion of f in f 4.401 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 1 into 1 4.402 * [taylor]: Taking taylor expansion of n in f 4.402 * [backup-simplify]: Simplify n into n 4.402 * [taylor]: Taking taylor expansion of (+ n f) in f 4.402 * [taylor]: Taking taylor expansion of n in f 4.402 * [backup-simplify]: Simplify n into n 4.402 * [taylor]: Taking taylor expansion of f in f 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 1 into 1 4.402 * [backup-simplify]: Simplify (- n) into (- n) 4.402 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.402 * [backup-simplify]: Simplify (+ n 0) into n 4.402 * [backup-simplify]: Simplify (/ (- n) n) into -1 4.402 * [taylor]: Taking taylor expansion of -1 in n 4.402 * [backup-simplify]: Simplify -1 into -1 4.402 * [backup-simplify]: Simplify -1 into -1 4.402 * [backup-simplify]: Simplify (- 0) into 0 4.403 * [backup-simplify]: Simplify (+ 1 0) into 1 4.403 * [backup-simplify]: Simplify (+ 0 1) into 1 4.403 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 4.403 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.403 * [taylor]: Taking taylor expansion of 2 in n 4.403 * [backup-simplify]: Simplify 2 into 2 4.403 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.403 * [taylor]: Taking taylor expansion of n in n 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * [backup-simplify]: Simplify (/ 1 1) into 1 4.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.404 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify (- 0) into 0 4.405 * [backup-simplify]: Simplify (+ 0 0) into 0 4.405 * [backup-simplify]: Simplify (+ 0 0) into 0 4.405 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 4.405 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.405 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.405 * [taylor]: Taking taylor expansion of 2 in n 4.405 * [backup-simplify]: Simplify 2 into 2 4.405 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.405 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.405 * [taylor]: Taking taylor expansion of n in n 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.406 * [backup-simplify]: Simplify (* 1 1) into 1 4.406 * [backup-simplify]: Simplify (/ 1 1) into 1 4.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.408 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.409 * [backup-simplify]: Simplify (- 0) into 0 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.410 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify (- 0) into 0 4.410 * [backup-simplify]: Simplify (+ 0 0) into 0 4.410 * [backup-simplify]: Simplify (+ 0 0) into 0 4.411 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 4.411 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.411 * [taylor]: Taking taylor expansion of 2 in n 4.411 * [backup-simplify]: Simplify 2 into 2 4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.411 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.411 * [taylor]: Taking taylor expansion of n in n 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify 1 into 1 4.411 * [backup-simplify]: Simplify (* 1 1) into 1 4.411 * [backup-simplify]: Simplify (* 1 1) into 1 4.412 * [backup-simplify]: Simplify (/ 1 1) into 1 4.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify -1 into -1 4.417 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 4.417 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 4.417 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 4.417 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.417 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.417 * [taylor]: Taking taylor expansion of f in n 4.417 * [backup-simplify]: Simplify f into f 4.417 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.417 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.417 * [taylor]: Taking taylor expansion of n in n 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 1 into 1 4.417 * [backup-simplify]: Simplify (/ 1 1) into 1 4.417 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.417 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.418 * [taylor]: Taking taylor expansion of f in n 4.418 * [backup-simplify]: Simplify f into f 4.418 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.418 * [taylor]: Taking taylor expansion of n in n 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 1 into 1 4.418 * [backup-simplify]: Simplify (/ 1 1) into 1 4.418 * [backup-simplify]: Simplify (- 1) into -1 4.419 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.419 * [backup-simplify]: Simplify (+ 0 1) into 1 4.419 * [backup-simplify]: Simplify (/ -1 1) into -1 4.419 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 4.419 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.419 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.419 * [taylor]: Taking taylor expansion of f in f 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 1 into 1 4.420 * [backup-simplify]: Simplify (/ 1 1) into 1 4.420 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.420 * [taylor]: Taking taylor expansion of n in f 4.420 * [backup-simplify]: Simplify n into n 4.420 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.420 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.420 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.420 * [taylor]: Taking taylor expansion of f in f 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [backup-simplify]: Simplify (/ 1 1) into 1 4.420 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.420 * [taylor]: Taking taylor expansion of n in f 4.420 * [backup-simplify]: Simplify n into n 4.420 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.420 * [backup-simplify]: Simplify (+ 1 0) into 1 4.421 * [backup-simplify]: Simplify (+ 1 0) into 1 4.421 * [backup-simplify]: Simplify (/ 1 1) into 1 4.421 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 4.421 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.421 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.421 * [taylor]: Taking taylor expansion of f in f 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 1 into 1 4.421 * [backup-simplify]: Simplify (/ 1 1) into 1 4.421 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.421 * [taylor]: Taking taylor expansion of n in f 4.421 * [backup-simplify]: Simplify n into n 4.421 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.421 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.421 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.422 * [taylor]: Taking taylor expansion of f in f 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 1 into 1 4.422 * [backup-simplify]: Simplify (/ 1 1) into 1 4.422 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.422 * [taylor]: Taking taylor expansion of n in f 4.422 * [backup-simplify]: Simplify n into n 4.422 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.422 * [backup-simplify]: Simplify (+ 1 0) into 1 4.422 * [backup-simplify]: Simplify (+ 1 0) into 1 4.423 * [backup-simplify]: Simplify (/ 1 1) into 1 4.423 * [taylor]: Taking taylor expansion of 1 in n 4.423 * [backup-simplify]: Simplify 1 into 1 4.423 * [backup-simplify]: Simplify 1 into 1 4.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.423 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.423 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.424 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.424 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 4.424 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.424 * [taylor]: Taking taylor expansion of 2 in n 4.424 * [backup-simplify]: Simplify 2 into 2 4.424 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.424 * [taylor]: Taking taylor expansion of n in n 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.424 * [backup-simplify]: Simplify (/ 1 1) into 1 4.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.425 * [backup-simplify]: Simplify (- 0) into 0 4.425 * [backup-simplify]: Simplify 0 into 0 4.426 * [backup-simplify]: Simplify 0 into 0 4.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.426 * [backup-simplify]: Simplify (- 0) into 0 4.427 * [backup-simplify]: Simplify (+ 0 0) into 0 4.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.428 * [backup-simplify]: Simplify (+ 0 0) into 0 4.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 4.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.428 * [taylor]: Taking taylor expansion of 2 in n 4.428 * [backup-simplify]: Simplify 2 into 2 4.428 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.428 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.429 * [taylor]: Taking taylor expansion of n in n 4.429 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify 1 into 1 4.429 * [backup-simplify]: Simplify (* 1 1) into 1 4.429 * [backup-simplify]: Simplify (/ 1 1) into 1 4.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.431 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.433 * [backup-simplify]: Simplify (- 0) into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.434 * [backup-simplify]: Simplify (- 0) into 0 4.434 * [backup-simplify]: Simplify (+ 0 0) into 0 4.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.435 * [backup-simplify]: Simplify (+ 0 0) into 0 4.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.436 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.436 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.436 * [taylor]: Taking taylor expansion of 2 in n 4.436 * [backup-simplify]: Simplify 2 into 2 4.436 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.436 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.436 * [taylor]: Taking taylor expansion of n in n 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [backup-simplify]: Simplify (* 1 1) into 1 4.437 * [backup-simplify]: Simplify (* 1 1) into 1 4.437 * [backup-simplify]: Simplify (/ 1 1) into 1 4.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.442 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.442 * [backup-simplify]: Simplify (- 0) into 0 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify 1 into 1 4.443 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 4.443 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 4.443 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 4.443 * [taylor]: Taking taylor expansion of -1 in n 4.443 * [backup-simplify]: Simplify -1 into -1 4.443 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 4.443 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.443 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.443 * [taylor]: Taking taylor expansion of n in n 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 1 into 1 4.443 * [backup-simplify]: Simplify (/ 1 1) into 1 4.443 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.443 * [taylor]: Taking taylor expansion of f in n 4.443 * [backup-simplify]: Simplify f into f 4.443 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.443 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.443 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.443 * [taylor]: Taking taylor expansion of f in n 4.443 * [backup-simplify]: Simplify f into f 4.443 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.443 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.443 * [taylor]: Taking taylor expansion of n in n 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 1 into 1 4.444 * [backup-simplify]: Simplify (/ 1 1) into 1 4.444 * [backup-simplify]: Simplify (+ 1 0) into 1 4.444 * [backup-simplify]: Simplify (+ 0 1) into 1 4.444 * [backup-simplify]: Simplify (/ 1 1) into 1 4.444 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 4.444 * [taylor]: Taking taylor expansion of -1 in f 4.444 * [backup-simplify]: Simplify -1 into -1 4.444 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 4.444 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.444 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.444 * [taylor]: Taking taylor expansion of n in f 4.444 * [backup-simplify]: Simplify n into n 4.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.445 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.445 * [taylor]: Taking taylor expansion of f in f 4.445 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify 1 into 1 4.445 * [backup-simplify]: Simplify (/ 1 1) into 1 4.445 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.445 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.445 * [taylor]: Taking taylor expansion of f in f 4.445 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify 1 into 1 4.445 * [backup-simplify]: Simplify (/ 1 1) into 1 4.445 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.445 * [taylor]: Taking taylor expansion of n in f 4.445 * [backup-simplify]: Simplify n into n 4.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.446 * [backup-simplify]: Simplify (- 1) into -1 4.446 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.446 * [backup-simplify]: Simplify (+ 1 0) into 1 4.446 * [backup-simplify]: Simplify (/ -1 1) into -1 4.446 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 4.446 * [taylor]: Taking taylor expansion of -1 in f 4.446 * [backup-simplify]: Simplify -1 into -1 4.446 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 4.446 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.446 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.446 * [taylor]: Taking taylor expansion of n in f 4.446 * [backup-simplify]: Simplify n into n 4.447 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.447 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.447 * [taylor]: Taking taylor expansion of f in f 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 1 into 1 4.447 * [backup-simplify]: Simplify (/ 1 1) into 1 4.447 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.447 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.447 * [taylor]: Taking taylor expansion of f in f 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 1 into 1 4.447 * [backup-simplify]: Simplify (/ 1 1) into 1 4.447 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.447 * [taylor]: Taking taylor expansion of n in f 4.447 * [backup-simplify]: Simplify n into n 4.447 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.448 * [backup-simplify]: Simplify (- 1) into -1 4.448 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.448 * [backup-simplify]: Simplify (+ 1 0) into 1 4.448 * [backup-simplify]: Simplify (/ -1 1) into -1 4.449 * [backup-simplify]: Simplify (* -1 -1) into 1 4.449 * [taylor]: Taking taylor expansion of 1 in n 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.449 * [backup-simplify]: Simplify (- 0) into 0 4.449 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.450 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.450 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 4.450 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 4.450 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.450 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.450 * [taylor]: Taking taylor expansion of 2 in n 4.450 * [backup-simplify]: Simplify 2 into 2 4.451 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.451 * [taylor]: Taking taylor expansion of n in n 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 1 into 1 4.451 * [backup-simplify]: Simplify (/ 1 1) into 1 4.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.452 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.452 * [backup-simplify]: Simplify (- 0) into 0 4.452 * [backup-simplify]: Simplify 0 into 0 4.452 * [backup-simplify]: Simplify 0 into 0 4.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.453 * [backup-simplify]: Simplify (- 0) into 0 4.453 * [backup-simplify]: Simplify (+ 0 0) into 0 4.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.454 * [backup-simplify]: Simplify (+ 0 0) into 0 4.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.455 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.455 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.456 * [taylor]: Taking taylor expansion of 2 in n 4.456 * [backup-simplify]: Simplify 2 into 2 4.456 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.456 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.456 * [taylor]: Taking taylor expansion of n in n 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (* 1 1) into 1 4.456 * [backup-simplify]: Simplify (/ 1 1) into 1 4.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.459 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.460 * [backup-simplify]: Simplify (- 0) into 0 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (- 0) into 0 4.461 * [backup-simplify]: Simplify (+ 0 0) into 0 4.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.462 * [backup-simplify]: Simplify (+ 0 0) into 0 4.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 4.464 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.464 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.464 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.464 * [taylor]: Taking taylor expansion of 2 in n 4.464 * [backup-simplify]: Simplify 2 into 2 4.464 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.464 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.464 * [taylor]: Taking taylor expansion of n in n 4.464 * [backup-simplify]: Simplify 0 into 0 4.464 * [backup-simplify]: Simplify 1 into 1 4.464 * [backup-simplify]: Simplify (* 1 1) into 1 4.465 * [backup-simplify]: Simplify (* 1 1) into 1 4.465 * [backup-simplify]: Simplify (/ 1 1) into 1 4.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.481 * [backup-simplify]: Simplify (- 0) into 0 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify 1 into 1 4.481 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.482 * [backup-simplify]: Simplify (/ (- 1) (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 4.482 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.482 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.482 * [taylor]: Taking taylor expansion of -1 in n 4.482 * [backup-simplify]: Simplify -1 into -1 4.482 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.482 * [taylor]: Taking taylor expansion of (+ n f) in n 4.482 * [taylor]: Taking taylor expansion of n in n 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 1 into 1 4.482 * [taylor]: Taking taylor expansion of f in n 4.482 * [backup-simplify]: Simplify f into f 4.482 * [taylor]: Taking taylor expansion of (- f n) in n 4.482 * [taylor]: Taking taylor expansion of f in n 4.483 * [backup-simplify]: Simplify f into f 4.483 * [taylor]: Taking taylor expansion of n in n 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 1 into 1 4.483 * [backup-simplify]: Simplify (+ 0 f) into f 4.483 * [backup-simplify]: Simplify (- 0) into 0 4.483 * [backup-simplify]: Simplify (+ f 0) into f 4.483 * [backup-simplify]: Simplify (/ f f) into 1 4.483 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.483 * [taylor]: Taking taylor expansion of -1 in f 4.483 * [backup-simplify]: Simplify -1 into -1 4.483 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.483 * [taylor]: Taking taylor expansion of (+ n f) in f 4.483 * [taylor]: Taking taylor expansion of n in f 4.483 * [backup-simplify]: Simplify n into n 4.483 * [taylor]: Taking taylor expansion of f in f 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 1 into 1 4.484 * [taylor]: Taking taylor expansion of (- f n) in f 4.484 * [taylor]: Taking taylor expansion of f in f 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [taylor]: Taking taylor expansion of n in f 4.484 * [backup-simplify]: Simplify n into n 4.484 * [backup-simplify]: Simplify (+ n 0) into n 4.484 * [backup-simplify]: Simplify (- n) into (- n) 4.484 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.484 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.484 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.484 * [taylor]: Taking taylor expansion of -1 in f 4.484 * [backup-simplify]: Simplify -1 into -1 4.484 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.484 * [taylor]: Taking taylor expansion of (+ n f) in f 4.484 * [taylor]: Taking taylor expansion of n in f 4.484 * [backup-simplify]: Simplify n into n 4.484 * [taylor]: Taking taylor expansion of f in f 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [taylor]: Taking taylor expansion of (- f n) in f 4.484 * [taylor]: Taking taylor expansion of f in f 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [taylor]: Taking taylor expansion of n in f 4.484 * [backup-simplify]: Simplify n into n 4.484 * [backup-simplify]: Simplify (+ n 0) into n 4.485 * [backup-simplify]: Simplify (- n) into (- n) 4.485 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.485 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.485 * [backup-simplify]: Simplify (* -1 -1) into 1 4.485 * [taylor]: Taking taylor expansion of 1 in n 4.485 * [backup-simplify]: Simplify 1 into 1 4.485 * [backup-simplify]: Simplify 1 into 1 4.486 * [backup-simplify]: Simplify (+ 0 1) into 1 4.486 * [backup-simplify]: Simplify (- 0) into 0 4.487 * [backup-simplify]: Simplify (+ 1 0) into 1 4.487 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.487 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.488 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.488 * [taylor]: Taking taylor expansion of 2 in n 4.488 * [backup-simplify]: Simplify 2 into 2 4.488 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.488 * [taylor]: Taking taylor expansion of n in n 4.488 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify 1 into 1 4.488 * [backup-simplify]: Simplify (/ 1 1) into 1 4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.490 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify (+ 0 0) into 0 4.491 * [backup-simplify]: Simplify (- 0) into 0 4.491 * [backup-simplify]: Simplify (+ 0 0) into 0 4.491 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.492 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.492 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.492 * [taylor]: Taking taylor expansion of 2 in n 4.492 * [backup-simplify]: Simplify 2 into 2 4.492 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.492 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.492 * [taylor]: Taking taylor expansion of n in n 4.492 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 1 into 1 4.493 * [backup-simplify]: Simplify (* 1 1) into 1 4.493 * [backup-simplify]: Simplify (/ 1 1) into 1 4.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.498 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify (+ 0 0) into 0 4.500 * [backup-simplify]: Simplify (- 0) into 0 4.501 * [backup-simplify]: Simplify (+ 0 0) into 0 4.502 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 4.503 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.503 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.503 * [taylor]: Taking taylor expansion of 2 in n 4.503 * [backup-simplify]: Simplify 2 into 2 4.503 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.503 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.503 * [taylor]: Taking taylor expansion of n in n 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [backup-simplify]: Simplify (* 1 1) into 1 4.504 * [backup-simplify]: Simplify (* 1 1) into 1 4.504 * [backup-simplify]: Simplify (/ 1 1) into 1 4.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.510 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.510 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.510 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.510 * [taylor]: Taking taylor expansion of -1 in n 4.510 * [backup-simplify]: Simplify -1 into -1 4.510 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.510 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.510 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.510 * [taylor]: Taking taylor expansion of f in n 4.510 * [backup-simplify]: Simplify f into f 4.511 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.511 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.511 * [taylor]: Taking taylor expansion of n in n 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify 1 into 1 4.511 * [backup-simplify]: Simplify (/ 1 1) into 1 4.511 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.511 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.511 * [taylor]: Taking taylor expansion of f in n 4.511 * [backup-simplify]: Simplify f into f 4.511 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.511 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.511 * [taylor]: Taking taylor expansion of n in n 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify 1 into 1 4.511 * [backup-simplify]: Simplify (/ 1 1) into 1 4.512 * [backup-simplify]: Simplify (+ 0 1) into 1 4.512 * [backup-simplify]: Simplify (- 1) into -1 4.512 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.512 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.512 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.512 * [taylor]: Taking taylor expansion of -1 in f 4.512 * [backup-simplify]: Simplify -1 into -1 4.512 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.512 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.512 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.512 * [taylor]: Taking taylor expansion of f in f 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 1 into 1 4.513 * [backup-simplify]: Simplify (/ 1 1) into 1 4.513 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.513 * [taylor]: Taking taylor expansion of n in f 4.513 * [backup-simplify]: Simplify n into n 4.513 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.513 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.513 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.513 * [taylor]: Taking taylor expansion of f in f 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 1 into 1 4.513 * [backup-simplify]: Simplify (/ 1 1) into 1 4.513 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.513 * [taylor]: Taking taylor expansion of n in f 4.513 * [backup-simplify]: Simplify n into n 4.513 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.513 * [backup-simplify]: Simplify (+ 1 0) into 1 4.514 * [backup-simplify]: Simplify (+ 1 0) into 1 4.514 * [backup-simplify]: Simplify (/ 1 1) into 1 4.514 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.514 * [taylor]: Taking taylor expansion of -1 in f 4.514 * [backup-simplify]: Simplify -1 into -1 4.514 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.514 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.514 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.514 * [taylor]: Taking taylor expansion of f in f 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify 1 into 1 4.514 * [backup-simplify]: Simplify (/ 1 1) into 1 4.514 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.514 * [taylor]: Taking taylor expansion of n in f 4.514 * [backup-simplify]: Simplify n into n 4.515 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.515 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.515 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.515 * [taylor]: Taking taylor expansion of f in f 4.515 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify 1 into 1 4.515 * [backup-simplify]: Simplify (/ 1 1) into 1 4.515 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.515 * [taylor]: Taking taylor expansion of n in f 4.515 * [backup-simplify]: Simplify n into n 4.515 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.515 * [backup-simplify]: Simplify (+ 1 0) into 1 4.515 * [backup-simplify]: Simplify (+ 1 0) into 1 4.516 * [backup-simplify]: Simplify (/ 1 1) into 1 4.516 * [backup-simplify]: Simplify (* -1 1) into -1 4.516 * [taylor]: Taking taylor expansion of -1 in n 4.516 * [backup-simplify]: Simplify -1 into -1 4.516 * [backup-simplify]: Simplify -1 into -1 4.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.517 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.517 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.517 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.517 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.518 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.518 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.518 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.518 * [taylor]: Taking taylor expansion of 2 in n 4.518 * [backup-simplify]: Simplify 2 into 2 4.518 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.518 * [taylor]: Taking taylor expansion of n in n 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 1 into 1 4.518 * [backup-simplify]: Simplify (/ 1 1) into 1 4.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.519 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.519 * [backup-simplify]: Simplify (- 0) into 0 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify 0 into 0 4.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.520 * [backup-simplify]: Simplify (+ 0 0) into 0 4.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.521 * [backup-simplify]: Simplify (- 0) into 0 4.521 * [backup-simplify]: Simplify (+ 0 0) into 0 4.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.522 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.522 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.522 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.522 * [taylor]: Taking taylor expansion of 2 in n 4.522 * [backup-simplify]: Simplify 2 into 2 4.522 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.522 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.522 * [taylor]: Taking taylor expansion of n in n 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.523 * [backup-simplify]: Simplify (* 1 1) into 1 4.523 * [backup-simplify]: Simplify (/ 1 1) into 1 4.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.525 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.526 * [backup-simplify]: Simplify (- 0) into 0 4.526 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.527 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.527 * [backup-simplify]: Simplify (- 0) into 0 4.527 * [backup-simplify]: Simplify 0 into 0 4.527 * [backup-simplify]: Simplify 0 into 0 4.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.528 * [backup-simplify]: Simplify (+ 0 0) into 0 4.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.529 * [backup-simplify]: Simplify (- 0) into 0 4.529 * [backup-simplify]: Simplify (+ 0 0) into 0 4.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 4.531 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.531 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.531 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.531 * [taylor]: Taking taylor expansion of 2 in n 4.531 * [backup-simplify]: Simplify 2 into 2 4.531 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.531 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.531 * [taylor]: Taking taylor expansion of n in n 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.531 * [backup-simplify]: Simplify (* 1 1) into 1 4.531 * [backup-simplify]: Simplify (* 1 1) into 1 4.532 * [backup-simplify]: Simplify (/ 1 1) into 1 4.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.537 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.537 * [backup-simplify]: Simplify (- 0) into 0 4.537 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify -1 into -1 4.538 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.538 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.538 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.538 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.538 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.538 * [taylor]: Taking taylor expansion of f in n 4.538 * [backup-simplify]: Simplify f into f 4.538 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.538 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.538 * [taylor]: Taking taylor expansion of n in n 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 1 into 1 4.538 * [backup-simplify]: Simplify (/ 1 1) into 1 4.539 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.539 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.539 * [taylor]: Taking taylor expansion of n in n 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify 1 into 1 4.539 * [backup-simplify]: Simplify (/ 1 1) into 1 4.539 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.539 * [taylor]: Taking taylor expansion of f in n 4.539 * [backup-simplify]: Simplify f into f 4.539 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.539 * [backup-simplify]: Simplify (+ 0 1) into 1 4.539 * [backup-simplify]: Simplify (+ 1 0) into 1 4.540 * [backup-simplify]: Simplify (/ 1 1) into 1 4.540 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.540 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.540 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.540 * [taylor]: Taking taylor expansion of f in f 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 1 into 1 4.540 * [backup-simplify]: Simplify (/ 1 1) into 1 4.540 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.540 * [taylor]: Taking taylor expansion of n in f 4.540 * [backup-simplify]: Simplify n into n 4.540 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.540 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.540 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.540 * [taylor]: Taking taylor expansion of n in f 4.540 * [backup-simplify]: Simplify n into n 4.540 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.540 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.540 * [taylor]: Taking taylor expansion of f in f 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 1 into 1 4.541 * [backup-simplify]: Simplify (/ 1 1) into 1 4.541 * [backup-simplify]: Simplify (+ 1 0) into 1 4.541 * [backup-simplify]: Simplify (- 1) into -1 4.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.542 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.542 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.542 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.542 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.542 * [taylor]: Taking taylor expansion of f in f 4.542 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify 1 into 1 4.542 * [backup-simplify]: Simplify (/ 1 1) into 1 4.542 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.542 * [taylor]: Taking taylor expansion of n in f 4.542 * [backup-simplify]: Simplify n into n 4.542 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.542 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.542 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.542 * [taylor]: Taking taylor expansion of n in f 4.542 * [backup-simplify]: Simplify n into n 4.542 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.542 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.543 * [taylor]: Taking taylor expansion of f in f 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify 1 into 1 4.543 * [backup-simplify]: Simplify (/ 1 1) into 1 4.543 * [backup-simplify]: Simplify (+ 1 0) into 1 4.544 * [backup-simplify]: Simplify (- 1) into -1 4.544 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.545 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.545 * [taylor]: Taking taylor expansion of -1 in n 4.545 * [backup-simplify]: Simplify -1 into -1 4.545 * [backup-simplify]: Simplify -1 into -1 4.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.546 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.547 * [backup-simplify]: Simplify (- 0) into 0 4.547 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.547 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.547 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.548 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.548 * [taylor]: Taking taylor expansion of 2 in n 4.548 * [backup-simplify]: Simplify 2 into 2 4.548 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.548 * [taylor]: Taking taylor expansion of n in n 4.548 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify 1 into 1 4.548 * [backup-simplify]: Simplify (/ 1 1) into 1 4.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.550 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.550 * [backup-simplify]: Simplify (- 0) into 0 4.550 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.552 * [backup-simplify]: Simplify (+ 0 0) into 0 4.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (- 0) into 0 4.553 * [backup-simplify]: Simplify (+ 0 0) into 0 4.555 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.555 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.555 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.555 * [taylor]: Taking taylor expansion of 2 in n 4.555 * [backup-simplify]: Simplify 2 into 2 4.555 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.555 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.555 * [taylor]: Taking taylor expansion of n in n 4.555 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify 1 into 1 4.555 * [backup-simplify]: Simplify (* 1 1) into 1 4.556 * [backup-simplify]: Simplify (/ 1 1) into 1 4.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.560 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.560 * [backup-simplify]: Simplify (- 0) into 0 4.560 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.562 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.563 * [backup-simplify]: Simplify (- 0) into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.564 * [backup-simplify]: Simplify (+ 0 0) into 0 4.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.566 * [backup-simplify]: Simplify (- 0) into 0 4.566 * [backup-simplify]: Simplify (+ 0 0) into 0 4.568 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.568 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.568 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.568 * [taylor]: Taking taylor expansion of 2 in n 4.568 * [backup-simplify]: Simplify 2 into 2 4.568 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.568 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.568 * [taylor]: Taking taylor expansion of n in n 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 1 into 1 4.569 * [backup-simplify]: Simplify (* 1 1) into 1 4.569 * [backup-simplify]: Simplify (* 1 1) into 1 4.569 * [backup-simplify]: Simplify (/ 1 1) into 1 4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.578 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.579 * [backup-simplify]: Simplify (- 0) into 0 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify -1 into -1 4.579 * * * [progress]: simplifying candidates 4.597 * [simplify]: Simplifying: (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (- (log (- 1)) (- (log (- f n)) (log (+ f n)))) (- (log (- 1)) (log (/ (- f n) (+ f n)))) (log (/ (- 1) (/ (- f n) (+ f n)))) (exp (/ (- 1) (/ (- f n) (+ f n)))) (/ (* (* (- 1) (- 1)) (- 1)) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* (- 1) (- 1)) (- 1)) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ (- 1) (/ (- f n) (+ f n)))) (cbrt (/ 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(/ (+ (sqrt f) (sqrt n)) 1)) (/ (- 1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- 1) (/ 1 (sqrt (+ f n)))) (/ (- 1) (/ 1 1)) (/ (- 1) (/ 1 1)) (/ (- 1) 1) (/ (- 1) (- f n)) (/ (- 1) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (- 1) (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt (- 1))) (/ (/ (- f n) (+ f n)) (sqrt (- 1))) (/ (/ (- f n) (+ f n)) (- 1)) (/ (/ (- f n) (+ f n)) 1) (/ (/ (- f n) (+ f n)) (cbrt 1)) (/ (/ (- f n) (+ f n)) (sqrt 1)) (/ (/ (- f n) (+ f n)) 1) (/ (/ (- f n) (+ f n)) (- (cbrt 1))) (/ (/ (- f n) (+ f n)) (- (sqrt 1))) (/ (/ (- f n) (+ f n)) (- 1)) (/ (- 1) (- f n)) -1 1 1 1 -1 -1 4.607 * * [simplify]: Extracting # 0 : cost 0 4.608 * * [simplify]: Extracting # 1 : cost 0 4.609 * * [simplify]: Extracting # 2 : cost 0 4.609 * * [simplify]: Extracting # 3 : cost 0 4.610 * * [simplify]: Extracting # 4 : cost 0 4.611 * * [simplify]: Extracting # 5 : cost 0 4.611 * * [simplify]: Extracting # 6 : cost 0 4.612 * * [simplify]: Extracting # 7 : cost 0 4.613 * * [simplify]: iteration 0 : 398 enodes (cost 7509 ) 4.868 * * [simplify]: Extracting # 0 : cost 0 4.870 * * [simplify]: Extracting # 1 : cost 0 4.871 * * [simplify]: Extracting # 2 : cost 0 4.872 * * [simplify]: Extracting # 3 : cost 0 4.872 * * [simplify]: Extracting # 4 : cost 0 4.873 * * [simplify]: iteration 1 : 976 enodes (cost 6196 ) 5.131 * * [simplify]: Extracting # 0 : cost 0 5.133 * * [simplify]: Extracting # 1 : cost 0 5.136 * * [simplify]: Extracting # 2 : cost 0 5.138 * * [simplify]: Extracting # 3 : cost 0 5.141 * * [simplify]: Extracting # 4 : cost 0 5.148 * * [simplify]: iteration 2 : 2410 enodes (cost 5819 ) 6.290 * * [simplify]: Extracting # 0 : cost 0 6.302 * * [simplify]: Extracting # 1 : cost 0 6.313 * * [simplify]: Extracting # 2 : cost 0 6.323 * * [simplify]: Extracting # 3 : cost 0 6.333 * * [simplify]: Extracting # 4 : cost 0 6.344 * * [simplify]: iteration done: 5001 enodes (cost 5739 ) 6.356 * [simplify]: Simplified to: (log (/ (- f n) (+ f n))) (log (/ (- f n) 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(/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (/ -1 (- f n)) (+ f n) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ 1 (+ (* f f) (* n (- n f)))) (* (/ (+ f n) (- f n)) (- n f)) (/ 1 (- f n)) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ 1 (cbrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f 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(* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (/ -1 (- f n)) (+ f n) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ 1 (+ (* f f) (* n (- n f)))) (* (/ (+ f n) (- f n)) (- n f)) (/ 1 (- f n)) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ 1 (cbrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (/ -1 (- f n)) (+ f n) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ 1 (+ (* f f) (* n (- n f)))) (* (/ (+ f n) (- f n)) (- n f)) (/ 1 (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (- (/ (cbrt (+ f n)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (- (+ f n)) (/ (+ (pow f 3) (pow n 3)) (- f n)) (/ -1 (+ (* f f) (* n (- n f)))) (/ (- (* f f) (* n n)) (- f n)) (/ -1 (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (- (/ (cbrt (+ f n)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) (/ 1 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(sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (- (+ f n)) (/ (+ (pow f 3) (pow n 3)) (- f n)) (/ -1 (+ (* f f) (* n (- n f)))) (/ (- (* f f) (* n n)) (- f n)) (/ -1 (- f n)) (/ (+ f n) (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 -1 (/ -1 (- f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (* (/ (+ f n) (- f n)) (- n f)) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ -1 (- f n)) -1 1 1 1 -1 -1 6.361 * * * [progress]: adding candidates to table 6.836 * * [progress]: iteration 3 / 4 6.836 * * * [progress]: picking best candidate 6.840 * * * * [pick]: Picked # 6.840 * * * [progress]: localizing error 6.849 * * * [progress]: generating rewritten candidates 6.849 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 6.883 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 7.057 * * * [progress]: generating series expansions 7.057 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 7.057 * [backup-simplify]: Simplify (/ (sqrt (+ f n)) (- f n)) into (* (sqrt (+ n f)) (/ 1 (- f n))) 7.057 * [approximate]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in (f n) around 0 7.058 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in n 7.058 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 7.058 * [taylor]: Taking taylor expansion of (+ n f) in n 7.058 * [taylor]: Taking taylor expansion of n in n 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [taylor]: Taking taylor expansion of f in n 7.058 * [backup-simplify]: Simplify f into f 7.058 * [backup-simplify]: Simplify (+ 0 f) into f 7.058 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 7.059 * [backup-simplify]: Simplify (+ 1 0) into 1 7.059 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 7.059 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 7.059 * [taylor]: Taking taylor expansion of (- f n) in n 7.059 * [taylor]: Taking taylor expansion of f in n 7.059 * [backup-simplify]: Simplify f into f 7.059 * [taylor]: Taking taylor expansion of n in n 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.060 * [backup-simplify]: Simplify (- 0) into 0 7.060 * [backup-simplify]: Simplify (+ f 0) into f 7.060 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.060 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in f 7.060 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 7.060 * [taylor]: Taking taylor expansion of (+ n f) in f 7.060 * [taylor]: Taking taylor expansion of n in f 7.060 * [backup-simplify]: Simplify n into n 7.060 * [taylor]: Taking taylor expansion of f in f 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 1 into 1 7.060 * [backup-simplify]: Simplify (+ n 0) into n 7.060 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 7.061 * [backup-simplify]: Simplify (+ 0 1) into 1 7.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 7.062 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 7.062 * [taylor]: Taking taylor expansion of (- f n) in f 7.062 * [taylor]: Taking taylor expansion of f in f 7.062 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify 1 into 1 7.062 * [taylor]: Taking taylor expansion of n in f 7.062 * [backup-simplify]: Simplify n into n 7.062 * [backup-simplify]: Simplify (- n) into (- n) 7.062 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.062 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 7.062 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in f 7.062 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 7.062 * [taylor]: Taking taylor expansion of (+ n f) in f 7.062 * [taylor]: Taking taylor expansion of n in f 7.062 * [backup-simplify]: Simplify n into n 7.062 * [taylor]: Taking taylor expansion of f in f 7.062 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify 1 into 1 7.062 * [backup-simplify]: Simplify (+ n 0) into n 7.062 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 7.063 * [backup-simplify]: Simplify (+ 0 1) into 1 7.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 7.063 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 7.063 * [taylor]: Taking taylor expansion of (- f n) 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 * [taylor]: Taking taylor expansion of n in f 7.063 * [backup-simplify]: Simplify n into n 7.063 * [backup-simplify]: Simplify (- n) into (- n) 7.063 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.063 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 7.064 * [backup-simplify]: Simplify (* (sqrt n) (/ -1 n)) into (* -1 (sqrt (/ 1 n))) 7.064 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 n))) in n 7.064 * [taylor]: Taking taylor expansion of -1 in n 7.064 * [backup-simplify]: Simplify -1 into -1 7.064 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 7.064 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.064 * [taylor]: Taking taylor expansion of n in n 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 1 into 1 7.064 * [backup-simplify]: Simplify (/ 1 1) into 1 7.065 * [backup-simplify]: Simplify (sqrt 0) into 0 7.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.068 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 7.068 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.069 * [backup-simplify]: Simplify (- 0) into 0 7.069 * [backup-simplify]: Simplify (+ 1 0) into 1 7.070 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 7.070 * [backup-simplify]: Simplify (+ (* (sqrt n) (- (/ 1 (pow n 2)))) (* (* 1/2 (sqrt (/ 1 n))) (/ -1 n))) into (- (* 3/2 (sqrt (/ 1 (pow n 3))))) 7.070 * [taylor]: Taking taylor expansion of (- (* 3/2 (sqrt (/ 1 (pow n 3))))) in n 7.070 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt (/ 1 (pow n 3)))) in n 7.070 * [taylor]: Taking taylor expansion of 3/2 in n 7.070 * [backup-simplify]: Simplify 3/2 into 3/2 7.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 7.070 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.070 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.070 * [taylor]: Taking taylor expansion of n in n 7.070 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (* 1 1) into 1 7.071 * [backup-simplify]: Simplify (* 1 1) into 1 7.072 * [backup-simplify]: Simplify (/ 1 1) into 1 7.072 * [backup-simplify]: Simplify (sqrt 0) into 0 7.074 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.080 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.082 * [backup-simplify]: Simplify (+ (* 3/2 +nan.0) (+ (* 0 +nan.0) (* 0 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 (- (+ (* 1 (/ 0 1)))) into 0 7.088 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.090 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.090 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.092 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 7.092 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) 7.092 * [approximate]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 7.092 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in n 7.092 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 7.093 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.093 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.093 * [taylor]: Taking taylor expansion of f in n 7.093 * [backup-simplify]: Simplify f into f 7.093 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.093 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.093 * [taylor]: Taking taylor expansion of n in n 7.093 * [backup-simplify]: Simplify 0 into 0 7.093 * [backup-simplify]: Simplify 1 into 1 7.093 * [backup-simplify]: Simplify (/ 1 1) into 1 7.094 * [backup-simplify]: Simplify (- 1) into -1 7.094 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.095 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 7.095 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.095 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.095 * [taylor]: Taking taylor expansion of f in n 7.095 * [backup-simplify]: Simplify f into f 7.095 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.095 * [taylor]: Taking taylor expansion of n in n 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify 1 into 1 7.095 * [backup-simplify]: Simplify (/ 1 1) into 1 7.096 * [backup-simplify]: Simplify (+ 0 1) into 1 7.096 * [backup-simplify]: Simplify (sqrt 0) into 0 7.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.098 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in f 7.098 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 7.098 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.098 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.098 * [taylor]: Taking taylor expansion of f in f 7.098 * [backup-simplify]: Simplify 0 into 0 7.098 * [backup-simplify]: Simplify 1 into 1 7.098 * [backup-simplify]: Simplify (/ 1 1) into 1 7.098 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.098 * [taylor]: Taking taylor expansion of n in f 7.098 * [backup-simplify]: Simplify n into n 7.098 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.099 * [backup-simplify]: Simplify (+ 1 0) into 1 7.099 * [backup-simplify]: Simplify (/ 1 1) into 1 7.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 7.099 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.099 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.099 * [taylor]: Taking taylor expansion of f in f 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify 1 into 1 7.100 * [backup-simplify]: Simplify (/ 1 1) into 1 7.100 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.100 * [taylor]: Taking taylor expansion of n in f 7.100 * [backup-simplify]: Simplify n into n 7.100 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.100 * [backup-simplify]: Simplify (+ 1 0) into 1 7.101 * [backup-simplify]: Simplify (sqrt 0) into 0 7.102 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.102 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in f 7.102 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 7.102 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.102 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.102 * [taylor]: Taking taylor expansion of f in f 7.102 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify 1 into 1 7.103 * [backup-simplify]: Simplify (/ 1 1) into 1 7.103 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.103 * [taylor]: Taking taylor expansion of n in f 7.103 * [backup-simplify]: Simplify n into n 7.103 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.103 * [backup-simplify]: Simplify (+ 1 0) into 1 7.104 * [backup-simplify]: Simplify (/ 1 1) into 1 7.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 7.104 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.104 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.104 * [taylor]: Taking taylor expansion of f in f 7.104 * [backup-simplify]: Simplify 0 into 0 7.104 * [backup-simplify]: Simplify 1 into 1 7.104 * [backup-simplify]: Simplify (/ 1 1) into 1 7.104 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.104 * [taylor]: Taking taylor expansion of n in f 7.104 * [backup-simplify]: Simplify n into n 7.104 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.105 * [backup-simplify]: Simplify (+ 1 0) into 1 7.105 * [backup-simplify]: Simplify (sqrt 0) into 0 7.107 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.107 * [backup-simplify]: Simplify (* 1 0) into 0 7.107 * [taylor]: Taking taylor expansion of 0 in n 7.107 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.108 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.108 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 7.109 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (/ 1 n) 0)) into (- +nan.0) 7.109 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.109 * [taylor]: Taking taylor expansion of +nan.0 in n 7.109 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.109 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.110 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.110 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.111 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.112 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 7.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.113 * [backup-simplify]: Simplify (- 0) into 0 7.114 * [backup-simplify]: Simplify (+ 0 0) into 0 7.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 7.115 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* (/ 1 n) +nan.0) (* (/ 1 (pow n 2)) 0))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.115 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.115 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.115 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.115 * [taylor]: Taking taylor expansion of +nan.0 in n 7.115 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.115 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.115 * [taylor]: Taking taylor expansion of n in n 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 1 into 1 7.116 * [backup-simplify]: Simplify (/ 1 1) into 1 7.116 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.116 * [taylor]: Taking taylor expansion of +nan.0 in n 7.116 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.117 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.117 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.118 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.119 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.119 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.120 * [backup-simplify]: Simplify (- 0) into 0 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.121 * [backup-simplify]: Simplify (+ 0 0) into 0 7.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.124 * [backup-simplify]: Simplify (- 0) into 0 7.124 * [backup-simplify]: Simplify (+ 0 0) into 0 7.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 3)) 7.127 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (+ (* (/ 1 n) (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* (/ 1 (pow n 2)) +nan.0) (* (/ 1 (pow n 3)) 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 7.127 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 7.127 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.127 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.127 * [taylor]: Taking taylor expansion of +nan.0 in n 7.127 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.127 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.127 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.127 * [taylor]: Taking taylor expansion of n in n 7.127 * [backup-simplify]: Simplify 0 into 0 7.127 * [backup-simplify]: Simplify 1 into 1 7.127 * [backup-simplify]: Simplify (* 1 1) into 1 7.128 * [backup-simplify]: Simplify (/ 1 1) into 1 7.128 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.128 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.128 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.128 * [taylor]: Taking taylor expansion of +nan.0 in n 7.128 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.128 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.128 * [taylor]: Taking taylor expansion of n in n 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 1 into 1 7.128 * [backup-simplify]: Simplify (/ 1 1) into 1 7.128 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.128 * [taylor]: Taking taylor expansion of +nan.0 in n 7.128 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.132 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.134 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.134 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.135 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.136 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.137 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.138 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.138 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.140 * [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)))))))) 7.140 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) 7.140 * [approximate]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.140 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in n 7.140 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 7.140 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 7.140 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.140 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.140 * [taylor]: Taking taylor expansion of f in n 7.140 * [backup-simplify]: Simplify f into f 7.140 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.140 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.140 * [taylor]: Taking taylor expansion of n in n 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (/ 1 1) into 1 7.141 * [backup-simplify]: Simplify (+ 0 1) into 1 7.142 * [backup-simplify]: Simplify (- 1) into -1 7.142 * [backup-simplify]: Simplify (sqrt 0) into 0 7.142 * [backup-simplify]: Simplify (- 1) into -1 7.144 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.144 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.144 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.144 * [taylor]: Taking taylor expansion of n in n 7.144 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify 1 into 1 7.144 * [backup-simplify]: Simplify (/ 1 1) into 1 7.144 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.144 * [taylor]: Taking taylor expansion of f in n 7.144 * [backup-simplify]: Simplify f into f 7.144 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.145 * [backup-simplify]: Simplify (+ 1 0) into 1 7.145 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 7.145 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 7.145 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.145 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.145 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.145 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.145 * [taylor]: Taking taylor expansion of f in f 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify 1 into 1 7.146 * [backup-simplify]: Simplify (/ 1 1) into 1 7.146 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.146 * [taylor]: Taking taylor expansion of n in f 7.146 * [backup-simplify]: Simplify n into n 7.146 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.146 * [backup-simplify]: Simplify (+ 1 0) into 1 7.147 * [backup-simplify]: Simplify (- 1) into -1 7.147 * [backup-simplify]: Simplify (sqrt 0) into 0 7.147 * [backup-simplify]: Simplify (- 1) into -1 7.149 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.149 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.149 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.149 * [taylor]: Taking taylor expansion of n in f 7.149 * [backup-simplify]: Simplify n into n 7.149 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.149 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.149 * [taylor]: Taking taylor expansion of f in f 7.149 * [backup-simplify]: Simplify 0 into 0 7.149 * [backup-simplify]: Simplify 1 into 1 7.149 * [backup-simplify]: Simplify (/ 1 1) into 1 7.150 * [backup-simplify]: Simplify (- 1) into -1 7.150 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.151 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 7.151 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 7.151 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.151 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.151 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.151 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.151 * [taylor]: Taking taylor expansion of f in f 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify 1 into 1 7.151 * [backup-simplify]: Simplify (/ 1 1) into 1 7.151 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.151 * [taylor]: Taking taylor expansion of n in f 7.151 * [backup-simplify]: Simplify n into n 7.151 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.152 * [backup-simplify]: Simplify (+ 1 0) into 1 7.152 * [backup-simplify]: Simplify (- 1) into -1 7.152 * [backup-simplify]: Simplify (sqrt 0) into 0 7.153 * [backup-simplify]: Simplify (- 1) into -1 7.154 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.154 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.154 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.154 * [taylor]: Taking taylor expansion of n in f 7.154 * [backup-simplify]: Simplify n into n 7.154 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.154 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.154 * [taylor]: Taking taylor expansion of f in f 7.154 * [backup-simplify]: Simplify 0 into 0 7.155 * [backup-simplify]: Simplify 1 into 1 7.155 * [backup-simplify]: Simplify (/ 1 1) into 1 7.155 * [backup-simplify]: Simplify (- 1) into -1 7.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.156 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 7.156 * [taylor]: Taking taylor expansion of +nan.0 in n 7.156 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.156 * [backup-simplify]: Simplify 0 into 0 7.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.157 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.157 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.159 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 7.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.160 * [backup-simplify]: Simplify (- 0) into 0 7.160 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.160 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ (/ 1 n) (- +nan.0))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.160 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.161 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.161 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.161 * [taylor]: Taking taylor expansion of +nan.0 in n 7.161 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.161 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.161 * [taylor]: Taking taylor expansion of n in n 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify 1 into 1 7.161 * [backup-simplify]: Simplify (/ 1 1) into 1 7.161 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.161 * [taylor]: Taking taylor expansion of +nan.0 in n 7.161 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.164 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.164 * [backup-simplify]: Simplify (- 0) into 0 7.164 * [backup-simplify]: Simplify (+ 0 0) into 0 7.165 * [backup-simplify]: Simplify (- 0) into 0 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.166 * [backup-simplify]: Simplify (+ 0 0) into 0 7.167 * [backup-simplify]: Simplify (- 0) into 0 7.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.169 * [backup-simplify]: Simplify (- 0) into 0 7.170 * [backup-simplify]: Simplify (+ 0 0) into 0 7.172 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) -1) (+ (* +nan.0 (/ 0 -1)) (* (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 7.172 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 7.172 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.172 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.172 * [taylor]: Taking taylor expansion of +nan.0 in n 7.172 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.172 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.172 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.172 * [taylor]: Taking taylor expansion of n in n 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 1 into 1 7.172 * [backup-simplify]: Simplify (* 1 1) into 1 7.173 * [backup-simplify]: Simplify (/ 1 1) into 1 7.173 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.173 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.173 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.173 * [taylor]: Taking taylor expansion of +nan.0 in n 7.173 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.173 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.173 * [taylor]: Taking taylor expansion of n in n 7.173 * [backup-simplify]: Simplify 0 into 0 7.173 * [backup-simplify]: Simplify 1 into 1 7.173 * [backup-simplify]: Simplify (/ 1 1) into 1 7.173 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.173 * [taylor]: Taking taylor expansion of +nan.0 in n 7.173 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.186 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.188 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.188 * [backup-simplify]: Simplify (- 0) into 0 7.188 * [backup-simplify]: Simplify (+ 0 0) into 0 7.188 * [backup-simplify]: Simplify (- 0) into 0 7.189 * [backup-simplify]: Simplify (+ 0 0) into 0 7.189 * [backup-simplify]: Simplify (- 0) into 0 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.190 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.190 * [backup-simplify]: Simplify (- 0) into 0 7.191 * [backup-simplify]: Simplify (+ 0 0) into 0 7.191 * [backup-simplify]: Simplify (- 0) into 0 7.191 * [backup-simplify]: Simplify 0 into 0 7.191 * [backup-simplify]: Simplify 0 into 0 7.191 * [backup-simplify]: Simplify 0 into 0 7.191 * * * * [progress]: [ 2 / 2 ] generating series at (2) 7.191 * [backup-simplify]: Simplify (* (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 7.191 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.191 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.191 * [taylor]: Taking taylor expansion of -1 in n 7.191 * [backup-simplify]: Simplify -1 into -1 7.191 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.191 * [taylor]: Taking taylor expansion of (+ n f) in n 7.191 * [taylor]: Taking taylor expansion of n in n 7.191 * [backup-simplify]: Simplify 0 into 0 7.191 * [backup-simplify]: Simplify 1 into 1 7.192 * [taylor]: Taking taylor expansion of f in n 7.192 * [backup-simplify]: Simplify f into f 7.192 * [taylor]: Taking taylor expansion of (- f n) in n 7.192 * [taylor]: Taking taylor expansion of f in n 7.192 * [backup-simplify]: Simplify f into f 7.192 * [taylor]: Taking taylor expansion of n in n 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify 1 into 1 7.192 * [backup-simplify]: Simplify (+ 0 f) into f 7.192 * [backup-simplify]: Simplify (- 0) into 0 7.192 * [backup-simplify]: Simplify (+ f 0) into f 7.192 * [backup-simplify]: Simplify (/ f f) into 1 7.192 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.192 * [taylor]: Taking taylor expansion of -1 in f 7.192 * [backup-simplify]: Simplify -1 into -1 7.192 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.192 * [taylor]: Taking taylor expansion of (+ n f) in f 7.192 * [taylor]: Taking taylor expansion of n in f 7.192 * [backup-simplify]: Simplify n into n 7.192 * [taylor]: Taking taylor expansion of f in f 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify 1 into 1 7.192 * [taylor]: Taking taylor expansion of (- f n) in f 7.192 * [taylor]: Taking taylor expansion of f in f 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify 1 into 1 7.192 * [taylor]: Taking taylor expansion of n in f 7.192 * [backup-simplify]: Simplify n into n 7.192 * [backup-simplify]: Simplify (+ n 0) into n 7.192 * [backup-simplify]: Simplify (- n) into (- n) 7.192 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.192 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.192 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.192 * [taylor]: Taking taylor expansion of -1 in f 7.193 * [backup-simplify]: Simplify -1 into -1 7.193 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.193 * [taylor]: Taking taylor expansion of (+ n f) in f 7.193 * [taylor]: Taking taylor expansion of n in f 7.193 * [backup-simplify]: Simplify n into n 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 7.193 * [taylor]: Taking taylor expansion of (- f n) 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 7.193 * [taylor]: Taking taylor expansion of n in f 7.193 * [backup-simplify]: Simplify n into n 7.193 * [backup-simplify]: Simplify (+ n 0) into n 7.193 * [backup-simplify]: Simplify (- n) into (- n) 7.193 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.193 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.193 * [backup-simplify]: Simplify (* -1 -1) into 1 7.193 * [taylor]: Taking taylor expansion of 1 in n 7.193 * [backup-simplify]: Simplify 1 into 1 7.193 * [backup-simplify]: Simplify 1 into 1 7.194 * [backup-simplify]: Simplify (+ 0 1) into 1 7.194 * [backup-simplify]: Simplify (- 0) into 0 7.194 * [backup-simplify]: Simplify (+ 1 0) into 1 7.194 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.195 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.195 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.195 * [taylor]: Taking taylor expansion of 2 in n 7.195 * [backup-simplify]: Simplify 2 into 2 7.195 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.195 * [taylor]: Taking taylor expansion of n in n 7.195 * [backup-simplify]: Simplify 0 into 0 7.195 * [backup-simplify]: Simplify 1 into 1 7.195 * [backup-simplify]: Simplify (/ 1 1) into 1 7.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.196 * [backup-simplify]: Simplify 0 into 0 7.196 * [backup-simplify]: Simplify 0 into 0 7.196 * [backup-simplify]: Simplify (+ 0 0) into 0 7.196 * [backup-simplify]: Simplify (- 0) into 0 7.197 * [backup-simplify]: Simplify (+ 0 0) into 0 7.197 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.197 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.197 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.197 * [taylor]: Taking taylor expansion of 2 in n 7.197 * [backup-simplify]: Simplify 2 into 2 7.197 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.197 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.197 * [taylor]: Taking taylor expansion of n in n 7.197 * [backup-simplify]: Simplify 0 into 0 7.197 * [backup-simplify]: Simplify 1 into 1 7.198 * [backup-simplify]: Simplify (* 1 1) into 1 7.198 * [backup-simplify]: Simplify (/ 1 1) into 1 7.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.200 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.200 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify (+ 0 0) into 0 7.202 * [backup-simplify]: Simplify (- 0) into 0 7.202 * [backup-simplify]: Simplify (+ 0 0) into 0 7.203 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 7.204 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 7.204 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.204 * [taylor]: Taking taylor expansion of 2 in n 7.204 * [backup-simplify]: Simplify 2 into 2 7.204 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.204 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.204 * [taylor]: Taking taylor expansion of n in n 7.204 * [backup-simplify]: Simplify 0 into 0 7.204 * [backup-simplify]: Simplify 1 into 1 7.204 * [backup-simplify]: Simplify (* 1 1) into 1 7.204 * [backup-simplify]: Simplify (* 1 1) into 1 7.205 * [backup-simplify]: Simplify (/ 1 1) into 1 7.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify 1 into 1 7.211 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 f) (/ 1 n))) (- (/ (sqrt (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.211 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.211 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.211 * [taylor]: Taking taylor expansion of -1 in n 7.211 * [backup-simplify]: Simplify -1 into -1 7.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.211 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.211 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.211 * [taylor]: Taking taylor expansion of f in n 7.211 * [backup-simplify]: Simplify f into f 7.211 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 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 (- (/ 1 f) (/ 1 n)) in n 7.212 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.212 * [taylor]: Taking taylor expansion of f in n 7.212 * [backup-simplify]: Simplify f into f 7.212 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.212 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.212 * [taylor]: Taking taylor expansion of n in n 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 1 into 1 7.213 * [backup-simplify]: Simplify (/ 1 1) into 1 7.213 * [backup-simplify]: Simplify (+ 0 1) into 1 7.213 * [backup-simplify]: Simplify (- 1) into -1 7.214 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.214 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.214 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.214 * [taylor]: Taking taylor expansion of -1 in f 7.214 * [backup-simplify]: Simplify -1 into -1 7.214 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.215 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.215 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.215 * [taylor]: Taking taylor expansion of f in f 7.215 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify 1 into 1 7.215 * [backup-simplify]: Simplify (/ 1 1) into 1 7.215 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.215 * [taylor]: Taking taylor expansion of n in f 7.215 * [backup-simplify]: Simplify n into n 7.215 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.215 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.215 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.215 * [taylor]: Taking taylor expansion of f in f 7.215 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify 1 into 1 7.216 * [backup-simplify]: Simplify (/ 1 1) into 1 7.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.216 * [taylor]: Taking taylor expansion of n in f 7.216 * [backup-simplify]: Simplify n into n 7.216 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.216 * [backup-simplify]: Simplify (+ 1 0) into 1 7.217 * [backup-simplify]: Simplify (+ 1 0) into 1 7.217 * [backup-simplify]: Simplify (/ 1 1) into 1 7.217 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.217 * [taylor]: Taking taylor expansion of -1 in f 7.217 * [backup-simplify]: Simplify -1 into -1 7.217 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.217 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.217 * [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 7.218 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 7.219 * [backup-simplify]: Simplify (/ 1 1) into 1 7.219 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.219 * [taylor]: Taking taylor expansion of n in f 7.219 * [backup-simplify]: Simplify n into n 7.219 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.219 * [backup-simplify]: Simplify (+ 1 0) into 1 7.220 * [backup-simplify]: Simplify (+ 1 0) into 1 7.220 * [backup-simplify]: Simplify (/ 1 1) 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 (/ 1 n)) into (/ 1 n) 7.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.223 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 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)) 7.224 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.224 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.224 * [taylor]: Taking taylor expansion of 2 in n 7.224 * [backup-simplify]: Simplify 2 into 2 7.224 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.224 * [taylor]: Taking taylor expansion of n in n 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify 1 into 1 7.224 * [backup-simplify]: Simplify (/ 1 1) into 1 7.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.226 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.226 * [backup-simplify]: Simplify (- 0) into 0 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.228 * [backup-simplify]: Simplify (+ 0 0) into 0 7.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.230 * [backup-simplify]: Simplify (- 0) into 0 7.230 * [backup-simplify]: Simplify (+ 0 0) into 0 7.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.232 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.232 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.232 * [taylor]: Taking taylor expansion of 2 in n 7.232 * [backup-simplify]: Simplify 2 into 2 7.232 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.232 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.232 * [taylor]: Taking taylor expansion of n in n 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify 1 into 1 7.233 * [backup-simplify]: Simplify (* 1 1) into 1 7.233 * [backup-simplify]: Simplify (/ 1 1) into 1 7.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.238 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.238 * [backup-simplify]: Simplify (- 0) into 0 7.238 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.240 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.240 * [backup-simplify]: Simplify (- 0) into 0 7.240 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.242 * [backup-simplify]: Simplify (+ 0 0) into 0 7.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.244 * [backup-simplify]: Simplify (- 0) into 0 7.244 * [backup-simplify]: Simplify (+ 0 0) into 0 7.246 * [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))) 7.247 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.247 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.247 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.247 * [taylor]: Taking taylor expansion of 2 in n 7.247 * [backup-simplify]: Simplify 2 into 2 7.247 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.247 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.247 * [taylor]: Taking taylor expansion of n in n 7.247 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify 1 into 1 7.248 * [backup-simplify]: Simplify (* 1 1) into 1 7.248 * [backup-simplify]: Simplify (* 1 1) into 1 7.249 * [backup-simplify]: Simplify (/ 1 1) into 1 7.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.255 * [backup-simplify]: Simplify (- 0) into 0 7.255 * [backup-simplify]: Simplify 0 into 0 7.255 * [backup-simplify]: Simplify -1 into -1 7.255 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) 7.255 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 7.255 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in n 7.255 * [taylor]: Taking taylor expansion of -1 in n 7.255 * [backup-simplify]: Simplify -1 into -1 7.255 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in n 7.255 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 7.255 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 7.255 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 7.255 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.255 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.255 * [taylor]: Taking taylor expansion of f in n 7.255 * [backup-simplify]: Simplify f into f 7.255 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.255 * [taylor]: Taking taylor expansion of (/ 1 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 7.256 * [backup-simplify]: Simplify (/ 1 1) into 1 7.256 * [backup-simplify]: Simplify (+ 0 1) into 1 7.256 * [backup-simplify]: Simplify (- 1) into -1 7.257 * [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 7.258 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.258 * [taylor]: Taking taylor expansion of n in n 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify 1 into 1 7.258 * [backup-simplify]: Simplify (/ 1 1) into 1 7.258 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.258 * [taylor]: Taking taylor expansion of f in n 7.258 * [backup-simplify]: Simplify f into f 7.258 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.258 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.259 * [backup-simplify]: Simplify (+ 1 0) into 1 7.259 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 7.259 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 7.259 * [taylor]: Taking taylor expansion of -1 in f 7.259 * [backup-simplify]: Simplify -1 into -1 7.259 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 7.259 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 7.259 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.259 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.259 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.259 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.259 * [taylor]: Taking taylor expansion of f in f 7.259 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify 1 into 1 7.260 * [backup-simplify]: Simplify (/ 1 1) into 1 7.260 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.260 * [taylor]: Taking taylor expansion of n in f 7.260 * [backup-simplify]: Simplify n into n 7.260 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.260 * [backup-simplify]: Simplify (+ 1 0) into 1 7.260 * [backup-simplify]: Simplify (- 1) into -1 7.260 * [backup-simplify]: Simplify (sqrt 0) into 0 7.261 * [backup-simplify]: Simplify (- 1) into -1 7.261 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.261 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.261 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.261 * [taylor]: Taking taylor expansion of n in f 7.261 * [backup-simplify]: Simplify n into n 7.262 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.262 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.262 * [taylor]: Taking taylor expansion of f in f 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 1 into 1 7.262 * [backup-simplify]: Simplify (/ 1 1) into 1 7.262 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.262 * [backup-simplify]: Simplify (- 1) into -1 7.263 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.263 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 7.263 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 7.263 * [taylor]: Taking taylor expansion of -1 in f 7.263 * [backup-simplify]: Simplify -1 into -1 7.263 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 7.263 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 7.263 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.263 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.263 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.263 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.263 * [taylor]: Taking taylor expansion of f in f 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 1 into 1 7.263 * [backup-simplify]: Simplify (/ 1 1) into 1 7.263 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.263 * [taylor]: Taking taylor expansion of n in f 7.263 * [backup-simplify]: Simplify n into n 7.264 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.264 * [backup-simplify]: Simplify (+ 1 0) into 1 7.264 * [backup-simplify]: Simplify (- 1) into -1 7.264 * [backup-simplify]: Simplify (sqrt 0) into 0 7.264 * [backup-simplify]: Simplify (- 1) into -1 7.265 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.265 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.265 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.265 * [taylor]: Taking taylor expansion of n in f 7.265 * [backup-simplify]: Simplify n into n 7.265 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.265 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.265 * [taylor]: Taking taylor expansion of f in f 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 1 into 1 7.266 * [backup-simplify]: Simplify (/ 1 1) into 1 7.266 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.266 * [backup-simplify]: Simplify (- 1) into -1 7.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.267 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 7.267 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 7.267 * [taylor]: Taking taylor expansion of +nan.0 in n 7.267 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.267 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.268 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.268 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.269 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 7.270 * [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))) 7.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (- 0) into 0 7.270 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.271 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.271 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (* 0 +nan.0)) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.271 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.271 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.271 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.271 * [taylor]: Taking taylor expansion of +nan.0 in n 7.271 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.271 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.271 * [taylor]: Taking taylor expansion of n in n 7.272 * [backup-simplify]: Simplify 0 into 0 7.272 * [backup-simplify]: Simplify 1 into 1 7.272 * [backup-simplify]: Simplify (/ 1 1) into 1 7.272 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.272 * [taylor]: Taking taylor expansion of +nan.0 in n 7.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.273 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.274 * [backup-simplify]: Simplify (- 0) into 0 7.274 * [backup-simplify]: Simplify (+ 0 0) into 0 7.274 * [backup-simplify]: Simplify (- 0) into 0 7.274 * [backup-simplify]: Simplify 0 into 0 7.274 * [backup-simplify]: Simplify 0 into 0 7.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.275 * [backup-simplify]: Simplify (+ 0 0) into 0 7.275 * [backup-simplify]: Simplify (- 0) into 0 7.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.277 * [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))))) 7.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.278 * [backup-simplify]: Simplify (- 0) into 0 7.278 * [backup-simplify]: Simplify (+ 0 0) into 0 7.280 * [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))))) 7.281 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (* 0 +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 7.281 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 7.281 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.281 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.281 * [taylor]: Taking taylor expansion of +nan.0 in n 7.281 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.281 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.281 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.281 * [taylor]: Taking taylor expansion of n in n 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [backup-simplify]: Simplify (* 1 1) into 1 7.281 * [backup-simplify]: Simplify (/ 1 1) into 1 7.281 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.281 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.282 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.282 * [taylor]: Taking taylor expansion of +nan.0 in n 7.282 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.282 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.282 * [taylor]: Taking taylor expansion of n in n 7.282 * [backup-simplify]: Simplify 0 into 0 7.282 * [backup-simplify]: Simplify 1 into 1 7.282 * [backup-simplify]: Simplify (/ 1 1) into 1 7.282 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.282 * [taylor]: Taking taylor expansion of +nan.0 in n 7.282 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.286 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.287 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.287 * [backup-simplify]: Simplify (- 0) into 0 7.288 * [backup-simplify]: Simplify (+ 0 0) into 0 7.288 * [backup-simplify]: Simplify (- 0) into 0 7.288 * [backup-simplify]: Simplify (+ 0 0) into 0 7.288 * [backup-simplify]: Simplify (- 0) into 0 7.288 * [backup-simplify]: Simplify 0 into 0 7.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.289 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.290 * [backup-simplify]: Simplify (- 0) into 0 7.290 * [backup-simplify]: Simplify (+ 0 0) into 0 7.290 * [backup-simplify]: Simplify (- 0) into 0 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * * * [progress]: simplifying candidates 7.298 * [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 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(- 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 7.303 * * [simplify]: Extracting # 0 : cost 0 7.303 * * [simplify]: Extracting # 1 : cost 0 7.303 * * [simplify]: Extracting # 2 : cost 0 7.303 * * [simplify]: Extracting # 3 : cost 0 7.304 * * [simplify]: Extracting # 4 : cost 0 7.304 * * [simplify]: Extracting # 5 : cost 0 7.304 * * [simplify]: Extracting # 6 : cost 0 7.304 * * [simplify]: Extracting # 7 : cost 0 7.305 * * [simplify]: Extracting # 8 : cost 0 7.305 * * [simplify]: Extracting # 9 : cost 0 7.305 * * [simplify]: Extracting # 10 : cost 0 7.305 * * [simplify]: Extracting # 11 : cost 0 7.306 * * [simplify]: Extracting # 12 : cost 0 7.306 * * [simplify]: Extracting # 13 : cost 0 7.306 * * [simplify]: Extracting # 14 : cost 0 7.307 * * [simplify]: iteration 0 : 229 enodes (cost 2853 ) 7.386 * * [simplify]: Extracting # 0 : cost 0 7.386 * * [simplify]: Extracting # 1 : cost 0 7.387 * * [simplify]: Extracting # 2 : cost 0 7.387 * * [simplify]: Extracting # 3 : cost 0 7.388 * * [simplify]: Extracting # 4 : cost 0 7.388 * * [simplify]: Extracting # 5 : cost 0 7.389 * * [simplify]: iteration 1 : 514 enodes (cost 2417 ) 7.627 * * [simplify]: Extracting # 0 : cost 0 7.629 * * [simplify]: Extracting # 1 : cost 0 7.630 * * [simplify]: Extracting # 2 : cost 0 7.632 * * [simplify]: Extracting # 3 : cost 0 7.634 * * [simplify]: Extracting # 4 : cost 0 7.636 * * [simplify]: iteration 2 : 1630 enodes (cost 2357 ) 9.113 * * [simplify]: Extracting # 0 : cost 0 9.126 * * [simplify]: Extracting # 1 : cost 0 9.136 * * [simplify]: Extracting # 2 : cost 0 9.153 * * [simplify]: Extracting # 3 : cost 0 9.163 * * [simplify]: Extracting # 4 : cost 0 9.173 * * [simplify]: iteration done: 5000 enodes (cost 2341 ) 9.176 * [simplify]: Simplified to: (log (/ (sqrt (+ f n)) (- f n))) (log (/ (sqrt (+ f n)) (- f n))) (exp (/ (sqrt (+ f n)) (- f n))) (pow (/ (sqrt (+ f n)) (- f n)) 3) (* (cbrt (/ (sqrt (+ f n)) (- f n))) (cbrt (/ (sqrt (+ f n)) (- f n)))) (cbrt (/ (sqrt (+ f n)) (- f n))) (pow (/ (sqrt (+ f n)) (- f n)) 3) (sqrt (/ (sqrt (+ f n)) (- f n))) (sqrt (/ (sqrt (+ f n)) (- f n))) (- (sqrt (+ f n))) (- n f) (* (/ (cbrt (sqrt (+ f n))) (cbrt (- f n))) (/ (cbrt (sqrt (+ f n))) (cbrt (- f n)))) (/ (cbrt (sqrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (sqrt (+ f n))) (sqrt (- f n))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (/ (cbrt (sqrt (+ f n))) (- f n)) (/ (cbrt (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (cbrt (sqrt (+ 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(- (sqrt (+ f n))) (- (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (- (sqrt (+ f n))) (- (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (- (sqrt (+ f n))) (* (sqrt (+ f n)) (- (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (* (sqrt (+ f n)) (- (/ (sqrt (sqrt (+ f n))) (sqrt (- f n))))) (* (sqrt (+ f n)) (- (sqrt (sqrt (+ f n))))) (* (sqrt (+ f n)) (- (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n))))) (* (sqrt (+ f n)) (- (sqrt (sqrt (+ f n))))) (- (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (- (sqrt (+ f n))) (- (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (- (sqrt (+ f n))) (- (sqrt (+ f n))) (- (+ f n)) (- (/ (+ f n) (- (pow f 3) (pow n 3)))) (/ -1 (- 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)))) (* (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (sqrt (+ f n))) (* (sqrt (+ f n)) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (* (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (sqrt (+ f n))) (/ (* (sqrt (+ f n)) (fabs (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ (fabs (cbrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n))) (* (sqrt (+ f n)) (fabs (cbrt (+ f n)))) (* (sqrt (+ f n)) (/ (fabs (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (* (sqrt (+ f n)) (fabs (cbrt (+ f n)))) (* (sqrt (+ f n)) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (sqrt (+ f n)) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (+ f n)) (sqrt (sqrt (+ f n)))) (* (sqrt (+ f n)) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (* (sqrt (+ f n)) (sqrt (sqrt (+ f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (* (sqrt (+ f n)) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (sqrt (+ f n)) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (+ f n)) (sqrt (sqrt (+ f n)))) (* (sqrt (+ f n)) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (* (sqrt (+ f n)) (sqrt (sqrt (+ f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (sqrt (+ f n)) (+ f n) (/ (+ f n) (- (pow f 3) (pow n 3))) (/ 1 (- 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)))) (- (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n))) (* (sqrt (sqrt (+ f n))) (- (/ (sqrt (+ f n)) (- f n)))) (- (/ (+ f n) (- f n))) (- (+ f n)) (* (sqrt (+ (pow f 3) (pow n 3))) (- (/ (sqrt (+ f n)) (- f n)))) (* (sqrt (- (* f f) (* n n))) (- (/ (sqrt (+ f n)) (- f n)))) (- (+ (* +nan.0 (- n f)) +nan.0)) (+ (/ (- +nan.0) f) (- (/ +nan.0 (pow f 3)) (/ (/ +nan.0 f) f))) 0 1 -1 0 9.178 * * * [progress]: adding candidates to table 9.620 * * [progress]: iteration 4 / 4 9.620 * * * [progress]: picking best candidate 9.624 * * * * [pick]: Picked # 9.624 * * * [progress]: localizing error 9.642 * * * [progress]: generating rewritten candidates 9.642 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 9.866 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 9.958 * * * [progress]: generating series expansions 9.958 * * * * [progress]: [ 1 / 2 ] generating series at (2) 9.959 * [backup-simplify]: Simplify (* (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n))) into (/ (pow (sqrt (- (+ n f))) 2) (- f n)) 9.959 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in (f n) around 0 9.959 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in n 9.959 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in n 9.959 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 9.959 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 9.959 * [taylor]: Taking taylor expansion of (+ n f) in n 9.959 * [taylor]: Taking taylor expansion of n in n 9.959 * [backup-simplify]: Simplify 0 into 0 9.959 * [backup-simplify]: Simplify 1 into 1 9.959 * [taylor]: Taking taylor expansion of f in n 9.959 * [backup-simplify]: Simplify f into f 9.959 * [backup-simplify]: Simplify (+ 0 f) into f 9.959 * [backup-simplify]: Simplify (- f) into (- f) 9.959 * [backup-simplify]: Simplify (- f) into (- f) 9.959 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 9.960 * [backup-simplify]: Simplify (+ 1 0) into 1 9.960 * [backup-simplify]: Simplify (- 1) into -1 9.960 * [backup-simplify]: Simplify (- f) into (- f) 9.960 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 9.960 * [taylor]: Taking taylor expansion of (- f n) in n 9.960 * [taylor]: Taking taylor expansion of f in n 9.960 * [backup-simplify]: Simplify f into f 9.960 * [taylor]: Taking taylor expansion of n in n 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify 1 into 1 9.960 * [backup-simplify]: Simplify (* (sqrt (- f)) (sqrt (- f))) into (pow (sqrt (- f)) 2) 9.960 * [backup-simplify]: Simplify (- 0) into 0 9.960 * [backup-simplify]: Simplify (+ f 0) into f 9.961 * [backup-simplify]: Simplify (/ (pow (sqrt (- f)) 2) f) into (/ (pow (sqrt (- f)) 2) f) 9.961 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in f 9.961 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 9.961 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 9.961 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 9.961 * [taylor]: Taking taylor expansion of (+ n f) in f 9.961 * [taylor]: Taking taylor expansion of n in f 9.961 * [backup-simplify]: Simplify n into n 9.961 * [taylor]: Taking taylor expansion of f in f 9.961 * [backup-simplify]: Simplify 0 into 0 9.961 * [backup-simplify]: Simplify 1 into 1 9.961 * [backup-simplify]: Simplify (+ n 0) into n 9.961 * [backup-simplify]: Simplify (- n) into (- n) 9.961 * [backup-simplify]: Simplify (- n) into (- n) 9.961 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 9.961 * [backup-simplify]: Simplify (+ 0 1) into 1 9.962 * [backup-simplify]: Simplify (- 1) into -1 9.962 * [backup-simplify]: Simplify (- n) into (- n) 9.962 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 9.962 * [taylor]: Taking taylor expansion of (- f n) in f 9.962 * [taylor]: Taking taylor expansion of f in f 9.962 * [backup-simplify]: Simplify 0 into 0 9.962 * [backup-simplify]: Simplify 1 into 1 9.962 * [taylor]: Taking taylor expansion of n in f 9.962 * [backup-simplify]: Simplify n into n 9.962 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 9.962 * [backup-simplify]: Simplify (- n) into (- n) 9.962 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.962 * [backup-simplify]: Simplify (/ (pow (sqrt (- n)) 2) (- n)) into (* -1 (/ (pow (sqrt (- n)) 2) n)) 9.962 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in f 9.962 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 9.962 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 9.962 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 9.962 * [taylor]: Taking taylor expansion of (+ n f) in f 9.962 * [taylor]: Taking taylor expansion of n in f 9.962 * [backup-simplify]: Simplify n into n 9.962 * [taylor]: Taking taylor expansion of f in f 9.962 * [backup-simplify]: Simplify 0 into 0 9.963 * [backup-simplify]: Simplify 1 into 1 9.963 * [backup-simplify]: Simplify (+ n 0) into n 9.963 * [backup-simplify]: Simplify (- n) into (- n) 9.963 * [backup-simplify]: Simplify (- n) into (- n) 9.963 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 9.963 * [backup-simplify]: Simplify (+ 0 1) into 1 9.963 * [backup-simplify]: Simplify (- 1) into -1 9.963 * [backup-simplify]: Simplify (- n) into (- n) 9.963 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 9.963 * [taylor]: Taking taylor expansion of (- f n) in f 9.963 * [taylor]: Taking taylor expansion of f in f 9.963 * [backup-simplify]: Simplify 0 into 0 9.963 * [backup-simplify]: Simplify 1 into 1 9.963 * [taylor]: Taking taylor expansion of n in f 9.963 * [backup-simplify]: Simplify n into n 9.963 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 9.964 * [backup-simplify]: Simplify (- n) into (- n) 9.964 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.964 * [backup-simplify]: Simplify (/ (pow (sqrt (- n)) 2) (- n)) into (* -1 (/ (pow (sqrt (- n)) 2) n)) 9.964 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- n)) 2) n)) in n 9.964 * [taylor]: Taking taylor expansion of -1 in n 9.964 * [backup-simplify]: Simplify -1 into -1 9.964 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) n) in n 9.964 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 9.964 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 9.964 * [taylor]: Taking taylor expansion of (- n) in n 9.964 * [taylor]: Taking taylor expansion of n in n 9.964 * [backup-simplify]: Simplify 0 into 0 9.964 * [backup-simplify]: Simplify 1 into 1 9.964 * [backup-simplify]: Simplify (- 0) into 0 9.965 * [backup-simplify]: Simplify (- 1) into -1 9.965 * [backup-simplify]: Simplify (sqrt 0) into 0 9.965 * [backup-simplify]: Simplify (- 1) into -1 9.966 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.966 * [taylor]: Taking taylor expansion of n in n 9.966 * [backup-simplify]: Simplify 0 into 0 9.966 * [backup-simplify]: Simplify 1 into 1 9.966 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 9.967 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 9.967 * [backup-simplify]: Simplify (+ (* (sqrt (- n)) (/ -1/2 (sqrt (- n)))) (* (/ -1/2 (sqrt (- n))) (sqrt (- n)))) into (- 1) 9.967 * [backup-simplify]: Simplify (- 0) into 0 9.967 * [backup-simplify]: Simplify (+ 1 0) into 1 9.968 * [backup-simplify]: Simplify (- (/ (- 1) (- n)) (+ (* (* -1 (/ (pow (sqrt (- n)) 2) n)) (/ 1 (- n))))) into (- (/ 1 n) (/ (pow (sqrt (- n)) 2) (pow n 2))) 9.968 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ (pow (sqrt (- n)) 2) (pow n 2))) in n 9.968 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.968 * [taylor]: Taking taylor expansion of n in n 9.968 * [backup-simplify]: Simplify 0 into 0 9.968 * [backup-simplify]: Simplify 1 into 1 9.968 * [backup-simplify]: Simplify (/ 1 1) into 1 9.968 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) (pow n 2)) in n 9.968 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 9.969 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 9.969 * [taylor]: Taking taylor expansion of (- n) in n 9.969 * [taylor]: Taking taylor expansion of n in n 9.969 * [backup-simplify]: Simplify 0 into 0 9.969 * [backup-simplify]: Simplify 1 into 1 9.969 * [backup-simplify]: Simplify (- 0) into 0 9.969 * [backup-simplify]: Simplify (- 1) into -1 9.969 * [backup-simplify]: Simplify (sqrt 0) into 0 9.970 * [backup-simplify]: Simplify (- 1) into -1 9.970 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.970 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.970 * [taylor]: Taking taylor expansion of n in n 9.971 * [backup-simplify]: Simplify 0 into 0 9.971 * [backup-simplify]: Simplify 1 into 1 9.971 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 9.971 * [backup-simplify]: Simplify (* 1 1) into 1 9.971 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 9.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.972 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.973 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 9.973 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.973 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 9.973 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.974 * [backup-simplify]: Simplify (+ 0 0) into 0 9.974 * [backup-simplify]: Simplify (- 0) into 0 9.974 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt (- n))) 2) (+)) (* 2 (sqrt (- n)))) into (/ -1/8 (pow (sqrt (- n)) 3)) 9.975 * [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 9.975 * [backup-simplify]: Simplify (- 0) into 0 9.975 * [backup-simplify]: Simplify (+ 0 0) into 0 9.976 * [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))) 9.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ (pow (sqrt (- n)) 2) (pow n 3))) in n 9.976 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.976 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.976 * [taylor]: Taking taylor expansion of n in n 9.976 * [backup-simplify]: Simplify 0 into 0 9.976 * [backup-simplify]: Simplify 1 into 1 9.977 * [backup-simplify]: Simplify (* 1 1) into 1 9.977 * [backup-simplify]: Simplify (/ 1 1) into 1 9.977 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) (pow n 3)) in n 9.977 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 9.977 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 9.977 * [taylor]: Taking taylor expansion of (- n) in n 9.977 * [taylor]: Taking taylor expansion of n in n 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 1 into 1 9.977 * [backup-simplify]: Simplify (- 0) into 0 9.977 * [backup-simplify]: Simplify (- 1) into -1 9.978 * [backup-simplify]: Simplify (sqrt 0) into 0 9.978 * [backup-simplify]: Simplify (- 1) into -1 9.979 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.979 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.979 * [taylor]: Taking taylor expansion of n in n 9.979 * [backup-simplify]: Simplify 0 into 0 9.979 * [backup-simplify]: Simplify 1 into 1 9.980 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 9.980 * [backup-simplify]: Simplify (* 1 1) into 1 9.980 * [backup-simplify]: Simplify (* 1 1) into 1 9.980 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 9.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.983 * [backup-simplify]: Simplify (- 0) into 0 9.987 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.988 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 9.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.992 * [backup-simplify]: Simplify (- (/ (- +nan.0) 1) (+ (* +nan.0 (/ 0 1)))) into (- +nan.0) 9.993 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 9.994 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 9.994 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.996 * [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)))))) 9.997 * [backup-simplify]: Simplify (* (sqrt (- (+ (/ 1 f) (/ 1 n)))) (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) 9.997 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in (f n) around 0 9.997 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in n 9.997 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 9.997 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 9.997 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 9.997 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.997 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.997 * [taylor]: Taking taylor expansion of f in n 9.997 * [backup-simplify]: Simplify f into f 9.997 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.997 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.997 * [taylor]: Taking taylor expansion of n in n 9.998 * [backup-simplify]: Simplify 0 into 0 9.998 * [backup-simplify]: Simplify 1 into 1 9.998 * [backup-simplify]: Simplify (/ 1 1) into 1 9.998 * [backup-simplify]: Simplify (+ 0 1) into 1 9.998 * [backup-simplify]: Simplify (- 1) into -1 9.999 * [backup-simplify]: Simplify (sqrt 0) into 0 9.999 * [backup-simplify]: Simplify (- 1) into -1 10.000 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.000 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 10.000 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.000 * [taylor]: Taking taylor expansion of f in n 10.000 * [backup-simplify]: Simplify f into f 10.000 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.000 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.000 * [taylor]: Taking taylor expansion of n in n 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 1 into 1 10.000 * [backup-simplify]: Simplify (/ 1 1) into 1 10.001 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 10.001 * [backup-simplify]: Simplify (- 1) into -1 10.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.002 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 10.002 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in f 10.002 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 10.002 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 10.002 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 10.002 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.002 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.002 * [taylor]: Taking taylor expansion of f in f 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.002 * [backup-simplify]: Simplify (/ 1 1) into 1 10.002 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.002 * [taylor]: Taking taylor expansion of n in f 10.002 * [backup-simplify]: Simplify n into n 10.002 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.002 * [backup-simplify]: Simplify (+ 1 0) into 1 10.003 * [backup-simplify]: Simplify (- 1) into -1 10.003 * [backup-simplify]: Simplify (sqrt 0) into 0 10.003 * [backup-simplify]: Simplify (- 1) into -1 10.004 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.004 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.004 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.004 * [taylor]: Taking taylor expansion of f in f 10.004 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify 1 into 1 10.004 * [backup-simplify]: Simplify (/ 1 1) into 1 10.004 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.004 * [taylor]: Taking taylor expansion of n in f 10.004 * [backup-simplify]: Simplify n into n 10.004 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.005 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 10.005 * [backup-simplify]: Simplify (+ 1 0) into 1 10.005 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 10.005 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in f 10.005 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 10.005 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 10.005 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 10.005 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.005 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.005 * [taylor]: Taking taylor expansion of f in f 10.005 * [backup-simplify]: Simplify 0 into 0 10.005 * [backup-simplify]: Simplify 1 into 1 10.006 * [backup-simplify]: Simplify (/ 1 1) into 1 10.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.006 * [taylor]: Taking taylor expansion of n in f 10.006 * [backup-simplify]: Simplify n into n 10.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.006 * [backup-simplify]: Simplify (+ 1 0) into 1 10.006 * [backup-simplify]: Simplify (- 1) into -1 10.007 * [backup-simplify]: Simplify (sqrt 0) into 0 10.007 * [backup-simplify]: Simplify (- 1) into -1 10.008 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.008 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.008 * [taylor]: Taking taylor expansion of f in f 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify 1 into 1 10.008 * [backup-simplify]: Simplify (/ 1 1) into 1 10.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.008 * [taylor]: Taking taylor expansion of n in f 10.008 * [backup-simplify]: Simplify n into n 10.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.008 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 10.009 * [backup-simplify]: Simplify (+ 1 0) into 1 10.009 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 10.009 * [taylor]: Taking taylor expansion of +nan.0 in n 10.009 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.009 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.010 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.010 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.010 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 10.011 * [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))) 10.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.012 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.012 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 10.012 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1) (+ (* +nan.0 (/ (- (/ 1 n)) 1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 10.012 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 10.013 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 10.013 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.013 * [taylor]: Taking taylor expansion of +nan.0 in n 10.013 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.013 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.013 * [taylor]: Taking taylor expansion of n in n 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 1 into 1 10.013 * [backup-simplify]: Simplify (/ 1 1) into 1 10.013 * [taylor]: Taking taylor expansion of (- +nan.0) in n 10.013 * [taylor]: Taking taylor expansion of +nan.0 in n 10.013 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.015 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 10.015 * [backup-simplify]: Simplify (- 0) into 0 10.015 * [backup-simplify]: Simplify (+ 0 0) into 0 10.015 * [backup-simplify]: Simplify (- 0) into 0 10.015 * [backup-simplify]: Simplify 0 into 0 10.015 * [backup-simplify]: Simplify 0 into 0 10.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.016 * [backup-simplify]: Simplify (+ 0 0) into 0 10.017 * [backup-simplify]: Simplify (- 0) into 0 10.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 10.019 * [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))))) 10.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.019 * [backup-simplify]: Simplify (- 0) into 0 10.020 * [backup-simplify]: Simplify (+ 0 0) into 0 10.021 * [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))))) 10.021 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 10.021 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 10.021 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 10.021 * [taylor]: Taking taylor expansion of +nan.0 in n 10.021 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.021 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.021 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.021 * [taylor]: Taking taylor expansion of n in n 10.021 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify 1 into 1 10.021 * [backup-simplify]: Simplify (* 1 1) into 1 10.022 * [backup-simplify]: Simplify (/ 1 1) into 1 10.022 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 10.022 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 10.022 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.022 * [taylor]: Taking taylor expansion of +nan.0 in n 10.022 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.022 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.022 * [taylor]: Taking taylor expansion of n in n 10.022 * [backup-simplify]: Simplify 0 into 0 10.022 * [backup-simplify]: Simplify 1 into 1 10.022 * [backup-simplify]: Simplify (/ 1 1) into 1 10.022 * [taylor]: Taking taylor expansion of (- +nan.0) in n 10.022 * [taylor]: Taking taylor expansion of +nan.0 in n 10.022 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.026 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.036 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 10.036 * [backup-simplify]: Simplify (- 0) into 0 10.036 * [backup-simplify]: Simplify (+ 0 0) into 0 10.036 * [backup-simplify]: Simplify (- 0) into 0 10.037 * [backup-simplify]: Simplify (+ 0 0) into 0 10.037 * [backup-simplify]: Simplify (- 0) into 0 10.037 * [backup-simplify]: Simplify 0 into 0 10.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.038 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.038 * [backup-simplify]: Simplify (- 0) into 0 10.038 * [backup-simplify]: Simplify (+ 0 0) into 0 10.039 * [backup-simplify]: Simplify (- 0) into 0 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify (* (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (/ (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 10.039 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 10.039 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 10.039 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.039 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.039 * [taylor]: Taking taylor expansion of f in n 10.039 * [backup-simplify]: Simplify f into f 10.039 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.039 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.039 * [taylor]: Taking taylor expansion of n in n 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify 1 into 1 10.040 * [backup-simplify]: Simplify (/ 1 1) into 1 10.040 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.040 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.040 * [taylor]: Taking taylor expansion of n in n 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [backup-simplify]: Simplify (/ 1 1) into 1 10.040 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.040 * [taylor]: Taking taylor expansion of f in n 10.040 * [backup-simplify]: Simplify f into f 10.040 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.040 * [backup-simplify]: Simplify (+ 0 1) into 1 10.041 * [backup-simplify]: Simplify (+ 1 0) into 1 10.041 * [backup-simplify]: Simplify (/ 1 1) into 1 10.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.041 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.041 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.041 * [taylor]: Taking taylor expansion of f in f 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 1 into 1 10.041 * [backup-simplify]: Simplify (/ 1 1) into 1 10.041 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.041 * [taylor]: Taking taylor expansion of n in f 10.041 * [backup-simplify]: Simplify n into n 10.041 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.041 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.041 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.041 * [taylor]: Taking taylor expansion of n in f 10.041 * [backup-simplify]: Simplify n into n 10.041 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.041 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.042 * [taylor]: Taking taylor expansion of f in f 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [backup-simplify]: Simplify (/ 1 1) into 1 10.042 * [backup-simplify]: Simplify (+ 1 0) into 1 10.042 * [backup-simplify]: Simplify (- 1) into -1 10.043 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.043 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.043 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.043 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.043 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.043 * [taylor]: Taking taylor expansion of f in f 10.043 * [backup-simplify]: Simplify 0 into 0 10.043 * [backup-simplify]: Simplify 1 into 1 10.043 * [backup-simplify]: Simplify (/ 1 1) into 1 10.043 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.043 * [taylor]: Taking taylor expansion of n in f 10.043 * [backup-simplify]: Simplify n into n 10.043 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.043 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.043 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.043 * [taylor]: Taking taylor expansion of n in f 10.043 * [backup-simplify]: Simplify n into n 10.043 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.043 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.044 * [taylor]: Taking taylor expansion of f in f 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 1 into 1 10.044 * [backup-simplify]: Simplify (/ 1 1) into 1 10.044 * [backup-simplify]: Simplify (+ 1 0) into 1 10.044 * [backup-simplify]: Simplify (- 1) into -1 10.045 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.045 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.045 * [taylor]: Taking taylor expansion of -1 in n 10.045 * [backup-simplify]: Simplify -1 into -1 10.045 * [backup-simplify]: Simplify -1 into -1 10.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.046 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.046 * [backup-simplify]: Simplify (- 0) into 0 10.046 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.047 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 10.047 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 10.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 10.047 * [taylor]: Taking taylor expansion of 2 in n 10.047 * [backup-simplify]: Simplify 2 into 2 10.047 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.047 * [taylor]: Taking taylor expansion of n in n 10.047 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify 1 into 1 10.047 * [backup-simplify]: Simplify (/ 1 1) into 1 10.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.048 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.048 * [backup-simplify]: Simplify (- 0) into 0 10.048 * [backup-simplify]: Simplify 0 into 0 10.048 * [backup-simplify]: Simplify 0 into 0 10.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.049 * [backup-simplify]: Simplify (+ 0 0) into 0 10.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.050 * [backup-simplify]: Simplify (- 0) into 0 10.050 * [backup-simplify]: Simplify (+ 0 0) into 0 10.051 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 10.051 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 10.051 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 10.051 * [taylor]: Taking taylor expansion of 2 in n 10.051 * [backup-simplify]: Simplify 2 into 2 10.051 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.051 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.051 * [taylor]: Taking taylor expansion of n in n 10.051 * [backup-simplify]: Simplify 0 into 0 10.051 * [backup-simplify]: Simplify 1 into 1 10.051 * [backup-simplify]: Simplify (* 1 1) into 1 10.052 * [backup-simplify]: Simplify (/ 1 1) into 1 10.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.054 * [backup-simplify]: Simplify (- 0) into 0 10.054 * [backup-simplify]: Simplify 0 into 0 10.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.056 * [backup-simplify]: Simplify (- 0) into 0 10.056 * [backup-simplify]: Simplify 0 into 0 10.056 * [backup-simplify]: Simplify 0 into 0 10.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.057 * [backup-simplify]: Simplify (+ 0 0) into 0 10.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.057 * [backup-simplify]: Simplify (- 0) into 0 10.058 * [backup-simplify]: Simplify (+ 0 0) into 0 10.059 * [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)))) 10.059 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 10.059 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 10.059 * [taylor]: Taking taylor expansion of 2 in n 10.059 * [backup-simplify]: Simplify 2 into 2 10.059 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.059 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.059 * [taylor]: Taking taylor expansion of n in n 10.059 * [backup-simplify]: Simplify 0 into 0 10.059 * [backup-simplify]: Simplify 1 into 1 10.059 * [backup-simplify]: Simplify (* 1 1) into 1 10.060 * [backup-simplify]: Simplify (* 1 1) into 1 10.060 * [backup-simplify]: Simplify (/ 1 1) into 1 10.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.065 * [backup-simplify]: Simplify (- 0) into 0 10.065 * [backup-simplify]: Simplify 0 into 0 10.065 * [backup-simplify]: Simplify -1 into -1 10.065 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 10.066 * [backup-simplify]: Simplify (/ (sqrt (- (+ f n))) (- f n)) into (/ (sqrt (- (+ n f))) (- f n)) 10.066 * [approximate]: Taking taylor expansion of (/ (sqrt (- (+ n f))) (- f n)) in (f n) around 0 10.066 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ n f))) (- f n)) in n 10.066 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 10.066 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 10.066 * [taylor]: Taking taylor expansion of (+ n f) in n 10.066 * [taylor]: Taking taylor expansion of n in n 10.066 * [backup-simplify]: Simplify 0 into 0 10.066 * [backup-simplify]: Simplify 1 into 1 10.066 * [taylor]: Taking taylor expansion of f in n 10.066 * [backup-simplify]: Simplify f into f 10.066 * [backup-simplify]: Simplify (+ 0 f) into f 10.066 * [backup-simplify]: Simplify (- f) into (- f) 10.066 * [backup-simplify]: Simplify (- f) into (- f) 10.066 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 10.067 * [backup-simplify]: Simplify (+ 1 0) into 1 10.067 * [backup-simplify]: Simplify (- 1) into -1 10.067 * [backup-simplify]: Simplify (- f) into (- f) 10.067 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 10.067 * [taylor]: Taking taylor expansion of (- f n) in n 10.067 * [taylor]: Taking taylor expansion of f in n 10.067 * [backup-simplify]: Simplify f into f 10.067 * [taylor]: Taking taylor expansion of n in n 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify 1 into 1 10.068 * [backup-simplify]: Simplify (- 0) into 0 10.068 * [backup-simplify]: Simplify (+ f 0) into f 10.068 * [backup-simplify]: Simplify (/ (sqrt (- f)) f) into (/ (sqrt (- f)) f) 10.068 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ n f))) (- f n)) in f 10.068 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 10.068 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 10.068 * [taylor]: Taking taylor expansion of (+ n f) in f 10.068 * [taylor]: Taking taylor expansion of n in f 10.068 * [backup-simplify]: Simplify n into n 10.068 * [taylor]: Taking taylor expansion of f in f 10.068 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify 1 into 1 10.068 * [backup-simplify]: Simplify (+ n 0) into n 10.068 * [backup-simplify]: Simplify (- n) into (- n) 10.068 * [backup-simplify]: Simplify (- n) into (- n) 10.068 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 10.069 * [backup-simplify]: Simplify (+ 0 1) into 1 10.069 * [backup-simplify]: Simplify (- 1) into -1 10.069 * [backup-simplify]: Simplify (- n) into (- n) 10.069 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 10.069 * [taylor]: Taking taylor expansion of (- f n) in f 10.069 * [taylor]: Taking taylor expansion of f in f 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 1 into 1 10.069 * [taylor]: Taking taylor expansion of n in f 10.069 * [backup-simplify]: Simplify n into n 10.070 * [backup-simplify]: Simplify (- n) into (- n) 10.070 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.070 * [backup-simplify]: Simplify (/ (sqrt (- n)) (- n)) into (* -1 (/ (sqrt (- n)) n)) 10.070 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ n f))) (- f n)) in f 10.070 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 10.070 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 10.070 * [taylor]: Taking taylor expansion of (+ n f) in f 10.070 * [taylor]: Taking taylor expansion of n in f 10.070 * [backup-simplify]: Simplify n into n 10.070 * [taylor]: Taking taylor expansion of f in f 10.070 * [backup-simplify]: Simplify 0 into 0 10.070 * [backup-simplify]: Simplify 1 into 1 10.070 * [backup-simplify]: Simplify (+ n 0) into n 10.070 * [backup-simplify]: Simplify (- n) into (- n) 10.070 * [backup-simplify]: Simplify (- n) into (- n) 10.070 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 10.071 * [backup-simplify]: Simplify (+ 0 1) into 1 10.071 * [backup-simplify]: Simplify (- 1) into -1 10.071 * [backup-simplify]: Simplify (- n) into (- n) 10.071 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 10.071 * [taylor]: Taking taylor expansion of (- f n) in f 10.071 * [taylor]: Taking taylor expansion of f in f 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 1 into 1 10.071 * [taylor]: Taking taylor expansion of n in f 10.071 * [backup-simplify]: Simplify n into n 10.071 * [backup-simplify]: Simplify (- n) into (- n) 10.072 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.072 * [backup-simplify]: Simplify (/ (sqrt (- n)) (- n)) into (* -1 (/ (sqrt (- n)) n)) 10.072 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- n)) n)) in n 10.072 * [taylor]: Taking taylor expansion of -1 in n 10.072 * [backup-simplify]: Simplify -1 into -1 10.072 * [taylor]: Taking taylor expansion of (/ (sqrt (- n)) n) in n 10.072 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 10.072 * [taylor]: Taking taylor expansion of (- n) in n 10.072 * [taylor]: Taking taylor expansion of n in n 10.072 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify 1 into 1 10.072 * [backup-simplify]: Simplify (- 0) into 0 10.073 * [backup-simplify]: Simplify (- 1) into -1 10.073 * [backup-simplify]: Simplify (sqrt 0) into 0 10.073 * [backup-simplify]: Simplify (- 1) into -1 10.075 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.075 * [taylor]: Taking taylor expansion of n in n 10.075 * [backup-simplify]: Simplify 0 into 0 10.075 * [backup-simplify]: Simplify 1 into 1 10.076 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 10.076 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 10.076 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.076 * [backup-simplify]: Simplify (- 0) into 0 10.077 * [backup-simplify]: Simplify (+ 1 0) into 1 10.077 * [backup-simplify]: Simplify (- (/ (/ -1/2 (sqrt (- n))) (- n)) (+ (* (* -1 (/ (sqrt (- n)) n)) (/ 1 (- n))))) into (- (* 1/2 (/ 1 (* (sqrt (- n)) n))) (/ (sqrt (- n)) (pow n 2))) 10.077 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (sqrt (- n)) n))) (/ (sqrt (- n)) (pow n 2))) in n 10.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt (- n)) n))) in n 10.077 * [taylor]: Taking taylor expansion of 1/2 in n 10.077 * [backup-simplify]: Simplify 1/2 into 1/2 10.077 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (- n)) n)) in n 10.077 * [taylor]: Taking taylor expansion of (* (sqrt (- n)) n) in n 10.077 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 10.078 * [taylor]: Taking taylor expansion of (- n) in n 10.078 * [taylor]: Taking taylor expansion of n in n 10.078 * [backup-simplify]: Simplify 0 into 0 10.078 * [backup-simplify]: Simplify 1 into 1 10.078 * [backup-simplify]: Simplify (- 0) into 0 10.078 * [backup-simplify]: Simplify (- 1) into -1 10.079 * [backup-simplify]: Simplify (sqrt 0) into 0 10.079 * [backup-simplify]: Simplify (- 1) into -1 10.080 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.080 * [taylor]: Taking taylor expansion of n in n 10.080 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify 1 into 1 10.081 * [backup-simplify]: Simplify (* 0 0) into 0 10.082 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 0)) into 0 10.082 * [backup-simplify]: Simplify (- 0) into 0 10.085 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 0))) into (- +nan.0) 10.089 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 10.089 * [taylor]: Taking taylor expansion of (/ (sqrt (- n)) (pow n 2)) in n 10.089 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 10.089 * [taylor]: Taking taylor expansion of (- n) in n 10.089 * [taylor]: Taking taylor expansion of n in n 10.089 * [backup-simplify]: Simplify 0 into 0 10.089 * [backup-simplify]: Simplify 1 into 1 10.089 * [backup-simplify]: Simplify (- 0) into 0 10.090 * [backup-simplify]: Simplify (- 1) into -1 10.090 * [backup-simplify]: Simplify (sqrt 0) into 0 10.091 * [backup-simplify]: Simplify (- 1) into -1 10.092 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.092 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.092 * [taylor]: Taking taylor expansion of n in n 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify 1 into 1 10.092 * [backup-simplify]: Simplify (* 1 1) into 1 10.093 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 10.093 * [backup-simplify]: Simplify (- 0) into 0 10.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.098 * [backup-simplify]: Simplify (- 0) into 0 10.103 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 0))))) into (- +nan.0) 10.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 0)))) into (- +nan.0) 10.117 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.123 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.126 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0))) into (- +nan.0) 10.126 * [backup-simplify]: Simplify (- 0) into 0 10.129 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.132 * [backup-simplify]: Simplify (- (/ +nan.0 1) (+ (* +nan.0 (/ 0 1)))) into (- +nan.0) 10.133 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.134 * [backup-simplify]: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) 10.135 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.135 * [backup-simplify]: Simplify (- 0) into 0 10.138 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.140 * [backup-simplify]: Simplify (- (/ +nan.0 1) (+ (* +nan.0 (/ 0 1)))) into (- +nan.0) 10.143 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 +nan.0)) into (- +nan.0) 10.143 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.144 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) +nan.0)) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 10.144 * [backup-simplify]: Simplify (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) into (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) 10.144 * [approximate]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 10.144 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in n 10.144 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 10.144 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 10.144 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.144 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.145 * [taylor]: Taking taylor expansion of f in n 10.145 * [backup-simplify]: Simplify f into f 10.145 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.145 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.145 * [taylor]: Taking taylor expansion of n in n 10.145 * [backup-simplify]: Simplify 0 into 0 10.145 * [backup-simplify]: Simplify 1 into 1 10.145 * [backup-simplify]: Simplify (/ 1 1) into 1 10.146 * [backup-simplify]: Simplify (+ 0 1) into 1 10.146 * [backup-simplify]: Simplify (- 1) into -1 10.146 * [backup-simplify]: Simplify (sqrt 0) into 0 10.147 * [backup-simplify]: Simplify (- 1) into -1 10.148 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.148 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 10.148 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.148 * [taylor]: Taking taylor expansion of f in n 10.148 * [backup-simplify]: Simplify f into f 10.148 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.148 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.148 * [taylor]: Taking taylor expansion of n in n 10.148 * [backup-simplify]: Simplify 0 into 0 10.148 * [backup-simplify]: Simplify 1 into 1 10.149 * [backup-simplify]: Simplify (/ 1 1) into 1 10.149 * [backup-simplify]: Simplify (- 1) into -1 10.150 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.150 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 10.150 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in f 10.150 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 10.150 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 10.150 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.151 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.151 * [taylor]: Taking taylor expansion of f in f 10.151 * [backup-simplify]: Simplify 0 into 0 10.151 * [backup-simplify]: Simplify 1 into 1 10.151 * [backup-simplify]: Simplify (/ 1 1) into 1 10.151 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.151 * [taylor]: Taking taylor expansion of n in f 10.151 * [backup-simplify]: Simplify n into n 10.151 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.152 * [backup-simplify]: Simplify (+ 1 0) into 1 10.152 * [backup-simplify]: Simplify (- 1) into -1 10.152 * [backup-simplify]: Simplify (sqrt 0) into 0 10.153 * [backup-simplify]: Simplify (- 1) into -1 10.154 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.154 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.154 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.154 * [taylor]: Taking taylor expansion of f in f 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 1 into 1 10.155 * [backup-simplify]: Simplify (/ 1 1) into 1 10.155 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.155 * [taylor]: Taking taylor expansion of n in f 10.155 * [backup-simplify]: Simplify n into n 10.155 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.155 * [backup-simplify]: Simplify (+ 1 0) into 1 10.156 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 10.156 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) in f 10.156 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 10.156 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 10.156 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.156 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.156 * [taylor]: Taking taylor expansion of f in f 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify 1 into 1 10.156 * [backup-simplify]: Simplify (/ 1 1) into 1 10.156 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.156 * [taylor]: Taking taylor expansion of n in f 10.156 * [backup-simplify]: Simplify n into n 10.157 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.157 * [backup-simplify]: Simplify (+ 1 0) into 1 10.157 * [backup-simplify]: Simplify (- 1) into -1 10.158 * [backup-simplify]: Simplify (sqrt 0) into 0 10.158 * [backup-simplify]: Simplify (- 1) into -1 10.159 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.159 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.159 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.159 * [taylor]: Taking taylor expansion of f in f 10.159 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify 1 into 1 10.160 * [backup-simplify]: Simplify (/ 1 1) into 1 10.160 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.160 * [taylor]: Taking taylor expansion of n in f 10.160 * [backup-simplify]: Simplify n into n 10.160 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.161 * [backup-simplify]: Simplify (+ 1 0) into 1 10.161 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 10.161 * [taylor]: Taking taylor expansion of +nan.0 in n 10.161 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.161 * [backup-simplify]: Simplify 0 into 0 10.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.162 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.162 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.164 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 10.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.165 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.165 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 10.165 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ (/ 1 n) (- +nan.0))) 1) (+ (* +nan.0 (/ (- (/ 1 n)) 1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 10.165 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 10.165 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 10.165 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.166 * [taylor]: Taking taylor expansion of +nan.0 in n 10.166 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.166 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.166 * [taylor]: Taking taylor expansion of n in n 10.166 * [backup-simplify]: Simplify 0 into 0 10.166 * [backup-simplify]: Simplify 1 into 1 10.173 * [backup-simplify]: Simplify (/ 1 1) into 1 10.173 * [taylor]: Taking taylor expansion of (- +nan.0) in n 10.173 * [taylor]: Taking taylor expansion of +nan.0 in n 10.173 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.176 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 10.177 * [backup-simplify]: Simplify (- 0) into 0 10.177 * [backup-simplify]: Simplify (+ 0 0) into 0 10.177 * [backup-simplify]: Simplify (- 0) into 0 10.177 * [backup-simplify]: Simplify 0 into 0 10.177 * [backup-simplify]: Simplify 0 into 0 10.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.179 * [backup-simplify]: Simplify (+ 0 0) into 0 10.179 * [backup-simplify]: Simplify (- 0) into 0 10.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 10.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.182 * [backup-simplify]: Simplify (- 0) into 0 10.182 * [backup-simplify]: Simplify (+ 0 0) into 0 10.184 * [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))))) 10.184 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 10.185 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 10.185 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 10.185 * [taylor]: Taking taylor expansion of +nan.0 in n 10.185 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.185 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.185 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.185 * [taylor]: Taking taylor expansion of n in n 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify 1 into 1 10.185 * [backup-simplify]: Simplify (* 1 1) into 1 10.186 * [backup-simplify]: Simplify (/ 1 1) into 1 10.186 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 10.186 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 10.186 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.186 * [taylor]: Taking taylor expansion of +nan.0 in n 10.186 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.186 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.186 * [taylor]: Taking taylor expansion of n in n 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify 1 into 1 10.186 * [backup-simplify]: Simplify (/ 1 1) into 1 10.186 * [taylor]: Taking taylor expansion of (- +nan.0) in n 10.186 * [taylor]: Taking taylor expansion of +nan.0 in n 10.186 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.193 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.195 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 10.196 * [backup-simplify]: Simplify (- 0) into 0 10.196 * [backup-simplify]: Simplify (+ 0 0) into 0 10.196 * [backup-simplify]: Simplify (- 0) into 0 10.197 * [backup-simplify]: Simplify (+ 0 0) into 0 10.197 * [backup-simplify]: Simplify (- 0) into 0 10.197 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.199 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.200 * [backup-simplify]: Simplify (- 0) into 0 10.200 * [backup-simplify]: Simplify (+ 0 0) into 0 10.201 * [backup-simplify]: Simplify (- 0) into 0 10.201 * [backup-simplify]: Simplify 0 into 0 10.201 * [backup-simplify]: Simplify 0 into 0 10.201 * [backup-simplify]: Simplify 0 into 0 10.202 * [backup-simplify]: Simplify (/ (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) 10.202 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in (f n) around 0 10.202 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in n 10.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 10.202 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.202 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.202 * [taylor]: Taking taylor expansion of f in n 10.202 * [backup-simplify]: Simplify f into f 10.203 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.203 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.203 * [taylor]: Taking taylor expansion of n in n 10.203 * [backup-simplify]: Simplify 0 into 0 10.203 * [backup-simplify]: Simplify 1 into 1 10.203 * [backup-simplify]: Simplify (/ 1 1) into 1 10.204 * [backup-simplify]: Simplify (+ 0 1) into 1 10.204 * [backup-simplify]: Simplify (sqrt 0) into 0 10.206 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.206 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 10.206 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.206 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.206 * [taylor]: Taking taylor expansion of n in n 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify 1 into 1 10.206 * [backup-simplify]: Simplify (/ 1 1) into 1 10.206 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.206 * [taylor]: Taking taylor expansion of f in n 10.206 * [backup-simplify]: Simplify f into f 10.207 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.207 * [backup-simplify]: Simplify (+ 1 0) into 1 10.207 * [backup-simplify]: Simplify (/ 1 1) into 1 10.208 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in f 10.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 10.208 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.208 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.208 * [taylor]: Taking taylor expansion of f in f 10.208 * [backup-simplify]: Simplify 0 into 0 10.208 * [backup-simplify]: Simplify 1 into 1 10.208 * [backup-simplify]: Simplify (/ 1 1) into 1 10.208 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.208 * [taylor]: Taking taylor expansion of n in f 10.208 * [backup-simplify]: Simplify n into n 10.208 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.209 * [backup-simplify]: Simplify (+ 1 0) into 1 10.209 * [backup-simplify]: Simplify (sqrt 0) into 0 10.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.211 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 10.211 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.211 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.211 * [taylor]: Taking taylor expansion of n in f 10.211 * [backup-simplify]: Simplify n into n 10.211 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.211 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.211 * [taylor]: Taking taylor expansion of f in f 10.211 * [backup-simplify]: Simplify 0 into 0 10.211 * [backup-simplify]: Simplify 1 into 1 10.211 * [backup-simplify]: Simplify (/ 1 1) into 1 10.212 * [backup-simplify]: Simplify (- 1) into -1 10.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.213 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.213 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 n) (/ 1 f)))) in f 10.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 10.213 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.213 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.213 * [taylor]: Taking taylor expansion of f in f 10.213 * [backup-simplify]: Simplify 0 into 0 10.213 * [backup-simplify]: Simplify 1 into 1 10.213 * [backup-simplify]: Simplify (/ 1 1) into 1 10.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.214 * [taylor]: Taking taylor expansion of n in f 10.214 * [backup-simplify]: Simplify n into n 10.214 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.214 * [backup-simplify]: Simplify (+ 1 0) into 1 10.214 * [backup-simplify]: Simplify (sqrt 0) into 0 10.216 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.216 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 10.216 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.216 * [taylor]: Taking taylor expansion of n in f 10.216 * [backup-simplify]: Simplify n into n 10.216 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.216 * [taylor]: Taking taylor expansion of f in f 10.216 * [backup-simplify]: Simplify 0 into 0 10.216 * [backup-simplify]: Simplify 1 into 1 10.217 * [backup-simplify]: Simplify (/ 1 1) into 1 10.217 * [backup-simplify]: Simplify (- 1) into -1 10.217 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.218 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.218 * [backup-simplify]: Simplify (* 0 -1) into 0 10.218 * [taylor]: Taking taylor expansion of 0 in n 10.219 * [backup-simplify]: Simplify 0 into 0 10.219 * [backup-simplify]: Simplify 0 into 0 10.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.220 * [backup-simplify]: Simplify (- 0) into 0 10.220 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.220 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 10.221 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 n))) (* +nan.0 -1)) into (- +nan.0) 10.221 * [taylor]: Taking taylor expansion of (- +nan.0) in n 10.221 * [taylor]: Taking taylor expansion of +nan.0 in n 10.221 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.221 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.221 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.221 * [backup-simplify]: Simplify 0 into 0 10.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.222 * [backup-simplify]: Simplify (- 0) into 0 10.223 * [backup-simplify]: Simplify (+ 0 0) into 0 10.223 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 10.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.224 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.225 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 10.225 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 (pow n 2)))) (+ (* +nan.0 (- (/ 1 n))) (* (* +nan.0 (- (/ 1 n) +nan.0)) -1))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 10.225 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 10.225 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 10.225 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.225 * [taylor]: Taking taylor expansion of +nan.0 in n 10.225 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.225 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.225 * [taylor]: Taking taylor expansion of n in n 10.225 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify 1 into 1 10.225 * [backup-simplify]: Simplify (/ 1 1) into 1 10.225 * [taylor]: Taking taylor expansion of (- +nan.0) in n 10.225 * [taylor]: Taking taylor expansion of +nan.0 in n 10.225 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.226 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 10.227 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.227 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.228 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.228 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.228 * [backup-simplify]: Simplify (- 0) into 0 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.229 * [backup-simplify]: Simplify (- 0) into 0 10.230 * [backup-simplify]: Simplify (+ 0 0) into 0 10.230 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ 0 -1)) (* (- (/ 1 (pow n 2))) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 3))) 10.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.231 * [backup-simplify]: Simplify (+ 0 0) into 0 10.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 10.233 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 (pow n 3)))) (+ (* +nan.0 (- (/ 1 (pow n 2)))) (+ (* (* +nan.0 (- (/ 1 n) +nan.0)) (- (/ 1 n))) (* (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) -1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 10.233 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 10.233 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 10.233 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 10.233 * [taylor]: Taking taylor expansion of +nan.0 in n 10.233 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.233 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.233 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.233 * [taylor]: Taking taylor expansion of n in n 10.233 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify 1 into 1 10.233 * [backup-simplify]: Simplify (* 1 1) into 1 10.233 * [backup-simplify]: Simplify (/ 1 1) into 1 10.233 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 10.233 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 10.233 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.233 * [taylor]: Taking taylor expansion of +nan.0 in n 10.233 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.233 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.233 * [taylor]: Taking taylor expansion of n in n 10.233 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify 1 into 1 10.234 * [backup-simplify]: Simplify (/ 1 1) into 1 10.234 * [taylor]: Taking taylor expansion of (- +nan.0) in n 10.234 * [taylor]: Taking taylor expansion of +nan.0 in n 10.234 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.236 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 10.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.237 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 10.237 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.238 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.238 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.239 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.239 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.240 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.241 * [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)))))))) 10.241 * * * [progress]: simplifying candidates 10.244 * [simplify]: Simplifying: (* (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 (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))) (* (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 (- (* (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 (* (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 (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 (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 (- (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))) (- (log (sqrt (- (+ f n)))) (log (- f n))) (log (/ (sqrt (- (+ f n))) (- f n))) (exp (/ (sqrt (- (+ f n))) (- f n))) (/ 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(/ (- f n) (sqrt (sqrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (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))) (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 0 -1 (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 0 (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 3))) (- (* +nan.0 (/ 1 (pow f 2)))))))) 10.250 * * [simplify]: Extracting # 0 : cost 0 10.250 * * [simplify]: Extracting # 1 : cost 0 10.251 * * [simplify]: Extracting # 2 : cost 0 10.251 * * [simplify]: Extracting # 3 : cost 0 10.251 * * [simplify]: Extracting # 4 : cost 0 10.251 * * [simplify]: Extracting # 5 : cost 0 10.252 * * [simplify]: Extracting # 6 : cost 0 10.252 * * [simplify]: Extracting # 7 : cost 0 10.252 * * [simplify]: Extracting # 8 : cost 0 10.253 * * [simplify]: Extracting # 9 : cost 0 10.253 * * [simplify]: Extracting # 10 : cost 0 10.254 * * [simplify]: iteration 0 : 270 enodes (cost 4193 ) 10.422 * * [simplify]: Extracting # 0 : cost 0 10.423 * * [simplify]: Extracting # 1 : cost 0 10.423 * * [simplify]: Extracting # 2 : cost 0 10.424 * * [simplify]: Extracting # 3 : cost 0 10.425 * * [simplify]: Extracting # 4 : cost 0 10.425 * * [simplify]: Extracting # 5 : cost 0 10.426 * * [simplify]: iteration 1 : 574 enodes (cost 3664 ) 10.678 * * [simplify]: Extracting # 0 : cost 0 10.679 * * [simplify]: Extracting # 1 : cost 0 10.681 * * [simplify]: Extracting # 2 : cost 0 10.683 * * [simplify]: Extracting # 3 : cost 0 10.685 * * [simplify]: Extracting # 4 : cost 0 10.687 * * [simplify]: iteration 2 : 1715 enodes (cost 3506 ) 12.306 * * [simplify]: Extracting # 0 : cost 0 12.320 * * [simplify]: Extracting # 1 : cost 0 12.331 * * [simplify]: Extracting # 2 : cost 0 12.342 * * [simplify]: Extracting # 3 : cost 0 12.359 * * [simplify]: Extracting # 4 : cost 0 12.370 * * [simplify]: iteration done: 5000 enodes (cost 3452 ) 12.373 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (* (sqrt (- (+ (pow f 3) (pow n 3)))) (sqrt (- (+ f n)))) (* (sqrt (+ (* f f) (* n (- n f)))) (- f n)) (* (sqrt (- (+ f n))) (sqrt (* (- n f) (+ 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 (- (+ f n))) (sqrt (- f n))) (/ 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(/ (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))) (/ (sqrt (- (sqrt (+ f n)))) (- f n)) (/ (sqrt (sqrt (+ f n))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (sqrt (+ f n)))) (- (sqrt f) (sqrt n))) (sqrt (sqrt (+ f n))) (/ (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 (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) 1 (/ (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 (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) 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)))) (/ (sqrt (sqrt (- (+ f n)))) (- f n)) (/ (sqrt (sqrt (- (+ f n)))) (+ (sqrt n) (sqrt f))) (/ (sqrt (sqrt (- (+ f n)))) (- (sqrt f) (sqrt n))) (sqrt (sqrt (- (+ f n)))) (/ (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 (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) 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))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (- 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 (cbrt (+ f n)))) (/ (- f n) (sqrt (sqrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (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 n)) (+ f n)) (* (sqrt (+ (* f f) (* n (- n f)))) (- f n)) (* (sqrt (- f n)) (- f n)) (* +nan.0 (+ (- (* f f)) (- n f))) 0 -1 (- (* +nan.0 (- f n)) +nan.0) 0 (+ (- (/ +nan.0 (pow f 3)) (/ (/ +nan.0 f) f)) (/ (- +nan.0) f)) 12.376 * * * [progress]: adding candidates to table 12.895 * [progress]: [Phase 3 of 3] Extracting. 12.895 * * [regime]: Finding splitpoints for: (# # #) 12.897 * * * [regime-changes]: Trying 2 branch expressions: (n f) 12.898 * * * * [regimes]: Trying to branch on n from (# # #) 12.928 * * * * [regimes]: Trying to branch on f from (# # #) 12.960 * * * [regime]: Found split indices: #