0.822 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.122 * * * [progress]: [2/2] Setting up program. 0.127 * [progress]: [Phase 2 of 3] Improving. 0.129 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.130 * * [simplify]: iteration 0: 6 enodes 0.134 * * [simplify]: iteration 1: 13 enodes 0.136 * * [simplify]: iteration 2: 16 enodes 0.139 * * [simplify]: iteration 3: 20 enodes 0.141 * * [simplify]: iteration 4: 24 enodes 0.147 * * [simplify]: iteration 5: 29 enodes 0.150 * * [simplify]: iteration 6: 31 enodes 0.153 * * [simplify]: iteration complete: 31 enodes 0.153 * * [simplify]: Extracting #0: cost 1 inf + 0 0.153 * * [simplify]: Extracting #1: cost 9 inf + 0 0.154 * * [simplify]: Extracting #2: cost 14 inf + 0 0.154 * * [simplify]: Extracting #3: cost 11 inf + 43 0.154 * * [simplify]: Extracting #4: cost 2 inf + 860 0.154 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.155 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.156 * * [progress]: iteration 1 / 4 0.156 * * * [progress]: picking best candidate 0.159 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.170 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.216 * * * [progress]: generating series expansions 0.216 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.221 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.221 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.222 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.222 * [taylor]: Taking taylor expansion of -1 in n 0.222 * [backup-simplify]: Simplify -1 into -1 0.222 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.222 * [taylor]: Taking taylor expansion of (+ n f) in n 0.222 * [taylor]: Taking taylor expansion of n in n 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [taylor]: Taking taylor expansion of f in n 0.222 * [backup-simplify]: Simplify f into f 0.222 * [taylor]: Taking taylor expansion of (- f n) in n 0.222 * [taylor]: Taking taylor expansion of f in n 0.222 * [backup-simplify]: Simplify f into f 0.222 * [taylor]: Taking taylor expansion of n in n 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (+ 0 f) into f 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ f 0) into f 0.223 * [backup-simplify]: Simplify (/ f f) into 1 0.223 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.223 * [taylor]: Taking taylor expansion of -1 in f 0.223 * [backup-simplify]: Simplify -1 into -1 0.223 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.223 * [taylor]: Taking taylor expansion of (+ n f) in f 0.223 * [taylor]: Taking taylor expansion of n in f 0.223 * [backup-simplify]: Simplify n into n 0.223 * [taylor]: Taking taylor expansion of f in f 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of (- f n) in f 0.223 * [taylor]: Taking taylor expansion of f in f 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of n in f 0.223 * [backup-simplify]: Simplify n into n 0.223 * [backup-simplify]: Simplify (+ n 0) into n 0.223 * [backup-simplify]: Simplify (- n) into (- n) 0.223 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.223 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.223 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.223 * [taylor]: Taking taylor expansion of -1 in f 0.224 * [backup-simplify]: Simplify -1 into -1 0.224 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.224 * [taylor]: Taking taylor expansion of (+ n f) in f 0.224 * [taylor]: Taking taylor expansion of n in f 0.224 * [backup-simplify]: Simplify n into n 0.224 * [taylor]: Taking taylor expansion of f in f 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of (- f n) in f 0.224 * [taylor]: Taking taylor expansion of f in f 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of n in f 0.224 * [backup-simplify]: Simplify n into n 0.224 * [backup-simplify]: Simplify (+ n 0) into n 0.224 * [backup-simplify]: Simplify (- n) into (- n) 0.224 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.224 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.225 * [backup-simplify]: Simplify (* -1 -1) into 1 0.225 * [taylor]: Taking taylor expansion of 1 in n 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (+ 0 1) into 1 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.227 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.227 * [taylor]: Taking taylor expansion of 2 in n 0.227 * [backup-simplify]: Simplify 2 into 2 0.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.227 * [taylor]: Taking taylor expansion of n in n 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.232 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.232 * [taylor]: Taking taylor expansion of 2 in n 0.232 * [backup-simplify]: Simplify 2 into 2 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.232 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.232 * [taylor]: Taking taylor expansion of n in n 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [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)))) 0.238 * [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))) 0.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.239 * [taylor]: Taking taylor expansion of 2 in n 0.239 * [backup-simplify]: Simplify 2 into 2 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.239 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.239 * [taylor]: Taking taylor expansion of n in n 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.246 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.246 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.246 * [taylor]: Taking taylor expansion of -1 in n 0.246 * [backup-simplify]: Simplify -1 into -1 0.246 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.246 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.246 * [taylor]: Taking taylor expansion of f in n 0.246 * [backup-simplify]: Simplify f into f 0.246 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.246 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.246 * [taylor]: Taking taylor expansion of n in n 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.247 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.247 * [taylor]: Taking taylor expansion of f in n 0.247 * [backup-simplify]: Simplify f into f 0.247 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.247 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.247 * [taylor]: Taking taylor expansion of n in n 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [backup-simplify]: Simplify (+ 0 1) into 1 0.248 * [backup-simplify]: Simplify (- 1) into -1 0.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.248 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.248 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.248 * [taylor]: Taking taylor expansion of -1 in f 0.248 * [backup-simplify]: Simplify -1 into -1 0.248 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.248 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.248 * [taylor]: Taking taylor expansion of f in f 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.249 * [taylor]: Taking taylor expansion of n in f 0.249 * [backup-simplify]: Simplify n into n 0.249 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.249 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.249 * [taylor]: Taking taylor expansion of f in f 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.249 * [taylor]: Taking taylor expansion of n in f 0.249 * [backup-simplify]: Simplify n into n 0.249 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.249 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.250 * [taylor]: Taking taylor expansion of -1 in f 0.250 * [backup-simplify]: Simplify -1 into -1 0.250 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.250 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.250 * [taylor]: Taking taylor expansion of f in f 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.251 * [taylor]: Taking taylor expansion of n in f 0.251 * [backup-simplify]: Simplify n into n 0.251 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.251 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.251 * [taylor]: Taking taylor expansion of f in f 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.251 * [taylor]: Taking taylor expansion of n in f 0.251 * [backup-simplify]: Simplify n into n 0.251 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (* -1 1) into -1 0.252 * [taylor]: Taking taylor expansion of -1 in n 0.252 * [backup-simplify]: Simplify -1 into -1 0.252 * [backup-simplify]: Simplify -1 into -1 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.253 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.254 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.254 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.254 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.254 * [taylor]: Taking taylor expansion of 2 in n 0.254 * [backup-simplify]: Simplify 2 into 2 0.254 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.254 * [taylor]: Taking taylor expansion of n in n 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 2 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 into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.260 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.260 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 2)) in n 0.260 * [taylor]: Taking taylor expansion of (pow n 2) 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 0.260 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [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))) 0.270 * [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)))) 0.270 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.270 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.270 * [taylor]: Taking taylor expansion of 2 in n 0.270 * [backup-simplify]: Simplify 2 into 2 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.270 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify -1 into -1 0.277 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.277 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.277 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.277 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.277 * [taylor]: Taking taylor expansion of f in n 0.277 * [backup-simplify]: Simplify f into f 0.277 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.277 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.277 * [taylor]: Taking taylor expansion of n in n 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) (/ 1 f)) in n 0.278 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.278 * [taylor]: Taking taylor expansion of n in n 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.278 * [taylor]: Taking taylor expansion of f in n 0.278 * [backup-simplify]: Simplify f into f 0.278 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.278 * [backup-simplify]: Simplify (+ 0 1) into 1 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 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 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.279 * [taylor]: Taking taylor expansion of n in f 0.279 * [backup-simplify]: Simplify n into n 0.279 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.279 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.279 * [taylor]: Taking taylor expansion of n in f 0.279 * [backup-simplify]: Simplify n into n 0.279 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.280 * [backup-simplify]: Simplify (- 1) into -1 0.280 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.281 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.281 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.281 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.281 * [taylor]: Taking taylor expansion of f in f 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.281 * [taylor]: Taking taylor expansion of n in f 0.281 * [backup-simplify]: Simplify n into n 0.281 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.281 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.281 * [taylor]: Taking taylor expansion of n in f 0.281 * [backup-simplify]: Simplify n into n 0.281 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.281 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.281 * [taylor]: Taking taylor expansion of f in f 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify (+ 1 0) into 1 0.282 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.283 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.283 * [taylor]: Taking taylor expansion of -1 in n 0.283 * [backup-simplify]: Simplify -1 into -1 0.283 * [backup-simplify]: Simplify -1 into -1 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.284 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.284 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.284 * [taylor]: Taking taylor expansion of 2 in n 0.284 * [backup-simplify]: Simplify 2 into 2 0.284 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.284 * [taylor]: Taking taylor expansion of n in n 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.289 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.289 * [taylor]: Taking taylor expansion of 2 in n 0.289 * [backup-simplify]: Simplify 2 into 2 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.289 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [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)))) 0.297 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.297 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.297 * [taylor]: Taking taylor expansion of 2 in n 0.297 * [backup-simplify]: Simplify 2 into 2 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.297 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.297 * [taylor]: Taking taylor expansion of n in n 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify -1 into -1 0.315 * * * [progress]: simplifying candidates 0.319 * [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 0.322 * * [simplify]: iteration 0: 133 enodes 0.353 * * [simplify]: iteration 1: 311 enodes 0.417 * * [simplify]: iteration 2: 698 enodes 0.821 * * [simplify]: iteration 3: 2226 enodes 1.597 * * [simplify]: iteration complete: 5006 enodes 1.597 * * [simplify]: Extracting #0: cost 86 inf + 0 1.598 * * [simplify]: Extracting #1: cost 514 inf + 3 1.603 * * [simplify]: Extracting #2: cost 1092 inf + 10415 1.637 * * [simplify]: Extracting #3: cost 848 inf + 144858 1.707 * * [simplify]: Extracting #4: cost 309 inf + 266790 1.806 * * [simplify]: Extracting #5: cost 96 inf + 321399 1.878 * * [simplify]: Extracting #6: cost 53 inf + 332283 1.972 * * [simplify]: Extracting #7: cost 10 inf + 340564 2.082 * * [simplify]: Extracting #8: cost 0 inf + 343091 2.176 * [simplify]: Simplified to: (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ n f) (+ n (- f)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (sqrt (- f n))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (cbrt (- (+ n f))) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (/ (sqrt (- (+ n f))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (- (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f))))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (- (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (- (/ (/ (+ n f) (cbrt (- f n))) (cbrt (- f n)))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n)))) (/ -1 (- f n)) (* (+ (* (- n) (- f n)) (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 2.186 * * * [progress]: adding candidates to table 2.620 * * [progress]: iteration 2 / 4 2.620 * * * [progress]: picking best candidate 2.630 * * * * [pick]: Picked # 2.630 * * * [progress]: localizing error 2.640 * * * [progress]: generating rewritten candidates 2.640 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.658 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.687 * * * [progress]: generating series expansions 2.687 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.688 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 2.688 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 2.688 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 2.688 * [taylor]: Taking taylor expansion of (- f n) in n 2.688 * [taylor]: Taking taylor expansion of f in n 2.688 * [backup-simplify]: Simplify f into f 2.688 * [taylor]: Taking taylor expansion of n in n 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [taylor]: Taking taylor expansion of (+ n f) in n 2.688 * [taylor]: Taking taylor expansion of n in n 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [taylor]: Taking taylor expansion of f in n 2.688 * [backup-simplify]: Simplify f into f 2.688 * [backup-simplify]: Simplify (- 0) into 0 2.688 * [backup-simplify]: Simplify (+ f 0) into f 2.688 * [backup-simplify]: Simplify (+ 0 f) into f 2.689 * [backup-simplify]: Simplify (/ f f) into 1 2.689 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.689 * [taylor]: Taking taylor expansion of (- f n) in f 2.689 * [taylor]: Taking taylor expansion of f in f 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [taylor]: Taking taylor expansion of n in f 2.689 * [backup-simplify]: Simplify n into n 2.689 * [taylor]: Taking taylor expansion of (+ n f) in f 2.689 * [taylor]: Taking taylor expansion of n in f 2.689 * [backup-simplify]: Simplify n into n 2.689 * [taylor]: Taking taylor expansion of f in f 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (- n) into (- n) 2.689 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.689 * [backup-simplify]: Simplify (+ n 0) into n 2.689 * [backup-simplify]: Simplify (/ (- n) n) into -1 2.689 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.689 * [taylor]: Taking taylor expansion of (- f n) in f 2.689 * [taylor]: Taking taylor expansion of f in f 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [taylor]: Taking taylor expansion of n in f 2.689 * [backup-simplify]: Simplify n into n 2.689 * [taylor]: Taking taylor expansion of (+ n f) in f 2.689 * [taylor]: Taking taylor expansion of n in f 2.689 * [backup-simplify]: Simplify n into n 2.689 * [taylor]: Taking taylor expansion of f in f 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (- n) into (- n) 2.689 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.689 * [backup-simplify]: Simplify (+ n 0) into n 2.689 * [backup-simplify]: Simplify (/ (- n) n) into -1 2.689 * [taylor]: Taking taylor expansion of -1 in n 2.689 * [backup-simplify]: Simplify -1 into -1 2.689 * [backup-simplify]: Simplify -1 into -1 2.690 * [backup-simplify]: Simplify (- 0) into 0 2.690 * [backup-simplify]: Simplify (+ 1 0) into 1 2.690 * [backup-simplify]: Simplify (+ 0 1) into 1 2.690 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 2.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.690 * [taylor]: Taking taylor expansion of 2 in n 2.690 * [backup-simplify]: Simplify 2 into 2 2.690 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.690 * [taylor]: Taking taylor expansion of n in n 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.691 * [backup-simplify]: Simplify (/ 1 1) into 1 2.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify (- 0) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.692 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 2.693 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.693 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.693 * [taylor]: Taking taylor expansion of 2 in n 2.693 * [backup-simplify]: Simplify 2 into 2 2.693 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.693 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.693 * [taylor]: Taking taylor expansion of n in n 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (* 1 1) into 1 2.693 * [backup-simplify]: Simplify (/ 1 1) into 1 2.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.696 * [backup-simplify]: Simplify (- 0) into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.697 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (- 0) into 0 2.698 * [backup-simplify]: Simplify (+ 0 0) into 0 2.698 * [backup-simplify]: Simplify (+ 0 0) into 0 2.698 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 2.698 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.698 * [taylor]: Taking taylor expansion of 2 in n 2.698 * [backup-simplify]: Simplify 2 into 2 2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.698 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.698 * [taylor]: Taking taylor expansion of n in n 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (* 1 1) into 1 2.699 * [backup-simplify]: Simplify (* 1 1) into 1 2.699 * [backup-simplify]: Simplify (/ 1 1) into 1 2.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.705 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify -1 into -1 2.705 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 2.705 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 2.705 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 2.705 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.705 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.705 * [taylor]: Taking taylor expansion of f in n 2.705 * [backup-simplify]: Simplify f into f 2.705 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.705 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.705 * [taylor]: Taking taylor expansion of n in n 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify (/ 1 1) into 1 2.706 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.706 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.706 * [taylor]: Taking taylor expansion of f in n 2.706 * [backup-simplify]: Simplify f into f 2.706 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.706 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.706 * [taylor]: Taking taylor expansion of n in n 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify (/ 1 1) into 1 2.706 * [backup-simplify]: Simplify (- 1) into -1 2.707 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.707 * [backup-simplify]: Simplify (+ 0 1) into 1 2.707 * [backup-simplify]: Simplify (/ -1 1) into -1 2.707 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.707 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.707 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.707 * [taylor]: Taking taylor expansion of f in f 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.707 * [backup-simplify]: Simplify (/ 1 1) into 1 2.707 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.707 * [taylor]: Taking taylor expansion of n in f 2.708 * [backup-simplify]: Simplify n into n 2.708 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.708 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.708 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.708 * [taylor]: Taking taylor expansion of f in f 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (/ 1 1) into 1 2.708 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.708 * [taylor]: Taking taylor expansion of n in f 2.708 * [backup-simplify]: Simplify n into n 2.708 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.708 * [backup-simplify]: Simplify (+ 1 0) into 1 2.709 * [backup-simplify]: Simplify (+ 1 0) into 1 2.709 * [backup-simplify]: Simplify (/ 1 1) into 1 2.709 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.709 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.709 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.709 * [taylor]: Taking taylor expansion of f in f 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [backup-simplify]: Simplify (/ 1 1) into 1 2.709 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.709 * [taylor]: Taking taylor expansion of n in f 2.709 * [backup-simplify]: Simplify n into n 2.709 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.709 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.709 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.709 * [taylor]: Taking taylor expansion of f in f 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (/ 1 1) into 1 2.710 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.710 * [taylor]: Taking taylor expansion of n in f 2.710 * [backup-simplify]: Simplify n into n 2.710 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.710 * [backup-simplify]: Simplify (+ 1 0) into 1 2.710 * [backup-simplify]: Simplify (+ 1 0) into 1 2.710 * [backup-simplify]: Simplify (/ 1 1) into 1 2.711 * [taylor]: Taking taylor expansion of 1 in n 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.711 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.711 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.712 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 2.712 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.712 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.712 * [taylor]: Taking taylor expansion of 2 in n 2.712 * [backup-simplify]: Simplify 2 into 2 2.712 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.712 * [taylor]: Taking taylor expansion of n in n 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (/ 1 1) into 1 2.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.713 * [backup-simplify]: Simplify (- 0) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.714 * [backup-simplify]: Simplify (- 0) into 0 2.715 * [backup-simplify]: Simplify (+ 0 0) into 0 2.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.715 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 2.716 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.716 * [taylor]: Taking taylor expansion of 2 in n 2.716 * [backup-simplify]: Simplify 2 into 2 2.716 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.716 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.716 * [taylor]: Taking taylor expansion of n in n 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.717 * [backup-simplify]: Simplify (* 1 1) into 1 2.717 * [backup-simplify]: Simplify (/ 1 1) into 1 2.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.721 * [backup-simplify]: Simplify (- 0) into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.722 * [backup-simplify]: Simplify (- 0) into 0 2.722 * [backup-simplify]: Simplify (+ 0 0) into 0 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.723 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.724 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.724 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.724 * [taylor]: Taking taylor expansion of 2 in n 2.724 * [backup-simplify]: Simplify 2 into 2 2.724 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.724 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.724 * [taylor]: Taking taylor expansion of n in n 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 1 into 1 2.725 * [backup-simplify]: Simplify (* 1 1) into 1 2.725 * [backup-simplify]: Simplify (* 1 1) into 1 2.725 * [backup-simplify]: Simplify (/ 1 1) into 1 2.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.731 * [backup-simplify]: Simplify (- 0) into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.731 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 2.731 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 2.731 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 2.731 * [taylor]: Taking taylor expansion of -1 in n 2.731 * [backup-simplify]: Simplify -1 into -1 2.731 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 2.731 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.731 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.731 * [taylor]: Taking taylor expansion of n in n 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.731 * [backup-simplify]: Simplify (/ 1 1) into 1 2.731 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.731 * [taylor]: Taking taylor expansion of f in n 2.731 * [backup-simplify]: Simplify f into f 2.731 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.732 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.732 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.732 * [taylor]: Taking taylor expansion of f in n 2.732 * [backup-simplify]: Simplify f into f 2.732 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.732 * [taylor]: Taking taylor expansion of n in n 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (/ 1 1) into 1 2.732 * [backup-simplify]: Simplify (+ 1 0) into 1 2.732 * [backup-simplify]: Simplify (+ 0 1) into 1 2.733 * [backup-simplify]: Simplify (/ 1 1) into 1 2.733 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.733 * [taylor]: Taking taylor expansion of -1 in f 2.733 * [backup-simplify]: Simplify -1 into -1 2.733 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.733 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.733 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.733 * [taylor]: Taking taylor expansion of n in f 2.733 * [backup-simplify]: Simplify n into n 2.733 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.733 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.733 * [taylor]: Taking taylor expansion of f in f 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (/ 1 1) into 1 2.733 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.733 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.733 * [taylor]: Taking taylor expansion of f in f 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (/ 1 1) into 1 2.734 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.734 * [taylor]: Taking taylor expansion of n in f 2.734 * [backup-simplify]: Simplify n into n 2.734 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.734 * [backup-simplify]: Simplify (- 1) into -1 2.734 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.734 * [backup-simplify]: Simplify (+ 1 0) into 1 2.735 * [backup-simplify]: Simplify (/ -1 1) into -1 2.735 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.735 * [taylor]: Taking taylor expansion of -1 in f 2.735 * [backup-simplify]: Simplify -1 into -1 2.735 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.735 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.735 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.735 * [taylor]: Taking taylor expansion of n in f 2.735 * [backup-simplify]: Simplify n into n 2.735 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.735 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.735 * [taylor]: Taking taylor expansion of f in f 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.735 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.735 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.735 * [taylor]: Taking taylor expansion of f in f 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.736 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.736 * [taylor]: Taking taylor expansion of n in f 2.736 * [backup-simplify]: Simplify n into n 2.736 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.736 * [backup-simplify]: Simplify (- 1) into -1 2.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.736 * [backup-simplify]: Simplify (+ 1 0) into 1 2.737 * [backup-simplify]: Simplify (/ -1 1) into -1 2.737 * [backup-simplify]: Simplify (* -1 -1) into 1 2.737 * [taylor]: Taking taylor expansion of 1 in n 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (- 0) into 0 2.738 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.738 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 2.739 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 2.739 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.739 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.739 * [taylor]: Taking taylor expansion of 2 in n 2.739 * [backup-simplify]: Simplify 2 into 2 2.739 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.739 * [taylor]: Taking taylor expansion of n in n 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.740 * [backup-simplify]: Simplify (- 0) into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.741 * [backup-simplify]: Simplify (- 0) into 0 2.741 * [backup-simplify]: Simplify (+ 0 0) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.742 * [backup-simplify]: Simplify (+ 0 0) into 0 2.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.744 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.744 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.744 * [taylor]: Taking taylor expansion of 2 in n 2.744 * [backup-simplify]: Simplify 2 into 2 2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.744 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.744 * [taylor]: Taking taylor expansion of n in n 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (* 1 1) into 1 2.744 * [backup-simplify]: Simplify (/ 1 1) into 1 2.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.748 * [backup-simplify]: Simplify (- 0) into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (- 0) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.750 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 2.752 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.752 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.752 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.752 * [taylor]: Taking taylor expansion of 2 in n 2.752 * [backup-simplify]: Simplify 2 into 2 2.752 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.752 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.752 * [taylor]: Taking taylor expansion of n in n 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (* 1 1) into 1 2.753 * [backup-simplify]: Simplify (* 1 1) into 1 2.753 * [backup-simplify]: Simplify (/ 1 1) into 1 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (- 0) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.759 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 2.759 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.759 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.759 * [taylor]: Taking taylor expansion of -1 in n 2.759 * [backup-simplify]: Simplify -1 into -1 2.759 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.759 * [taylor]: Taking taylor expansion of (+ n f) in n 2.759 * [taylor]: Taking taylor expansion of n in n 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [taylor]: Taking taylor expansion of f in n 2.759 * [backup-simplify]: Simplify f into f 2.759 * [taylor]: Taking taylor expansion of (- f n) in n 2.759 * [taylor]: Taking taylor expansion of f in n 2.759 * [backup-simplify]: Simplify f into f 2.759 * [taylor]: Taking taylor expansion of n in n 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [backup-simplify]: Simplify (+ 0 f) into f 2.760 * [backup-simplify]: Simplify (- 0) into 0 2.760 * [backup-simplify]: Simplify (+ f 0) into f 2.760 * [backup-simplify]: Simplify (/ f f) into 1 2.760 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.760 * [taylor]: Taking taylor expansion of -1 in f 2.760 * [backup-simplify]: Simplify -1 into -1 2.760 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.760 * [taylor]: Taking taylor expansion of (+ n f) in f 2.760 * [taylor]: Taking taylor expansion of n in f 2.760 * [backup-simplify]: Simplify n into n 2.760 * [taylor]: Taking taylor expansion of f in f 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [taylor]: Taking taylor expansion of (- f n) in f 2.760 * [taylor]: Taking taylor expansion of f in f 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [taylor]: Taking taylor expansion of n in f 2.760 * [backup-simplify]: Simplify n into n 2.760 * [backup-simplify]: Simplify (+ n 0) into n 2.760 * [backup-simplify]: Simplify (- n) into (- n) 2.760 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.760 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.760 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.760 * [taylor]: Taking taylor expansion of -1 in f 2.760 * [backup-simplify]: Simplify -1 into -1 2.761 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.761 * [taylor]: Taking taylor expansion of (+ n f) in f 2.761 * [taylor]: Taking taylor expansion of n in f 2.761 * [backup-simplify]: Simplify n into n 2.761 * [taylor]: Taking taylor expansion of f in f 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [taylor]: Taking taylor expansion of (- f n) in f 2.761 * [taylor]: Taking taylor expansion of f in f 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [taylor]: Taking taylor expansion of n in f 2.761 * [backup-simplify]: Simplify n into n 2.761 * [backup-simplify]: Simplify (+ n 0) into n 2.761 * [backup-simplify]: Simplify (- n) into (- n) 2.761 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.761 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.761 * [backup-simplify]: Simplify (* -1 -1) into 1 2.761 * [taylor]: Taking taylor expansion of 1 in n 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (+ 0 1) into 1 2.762 * [backup-simplify]: Simplify (- 0) into 0 2.762 * [backup-simplify]: Simplify (+ 1 0) into 1 2.762 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.762 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.762 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.762 * [taylor]: Taking taylor expansion of 2 in n 2.763 * [backup-simplify]: Simplify 2 into 2 2.763 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.763 * [taylor]: Taking taylor expansion of n in n 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 1 into 1 2.763 * [backup-simplify]: Simplify (/ 1 1) into 1 2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.764 * [backup-simplify]: Simplify (- 0) into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.765 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.765 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.765 * [taylor]: Taking taylor expansion of 2 in n 2.765 * [backup-simplify]: Simplify 2 into 2 2.765 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.765 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.765 * [taylor]: Taking taylor expansion of n in n 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.766 * [backup-simplify]: Simplify (* 1 1) into 1 2.766 * [backup-simplify]: Simplify (/ 1 1) into 1 2.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.769 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify (+ 0 0) into 0 2.771 * [backup-simplify]: Simplify (- 0) into 0 2.772 * [backup-simplify]: Simplify (+ 0 0) into 0 2.772 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.779 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.779 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.779 * [taylor]: Taking taylor expansion of 2 in n 2.779 * [backup-simplify]: Simplify 2 into 2 2.779 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.779 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.779 * [taylor]: Taking taylor expansion of n in n 2.779 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify 1 into 1 2.780 * [backup-simplify]: Simplify (* 1 1) into 1 2.780 * [backup-simplify]: Simplify (* 1 1) into 1 2.781 * [backup-simplify]: Simplify (/ 1 1) into 1 2.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.790 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.790 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.790 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.790 * [taylor]: Taking taylor expansion of -1 in n 2.790 * [backup-simplify]: Simplify -1 into -1 2.790 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.790 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.790 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.790 * [taylor]: Taking taylor expansion of f in n 2.790 * [backup-simplify]: Simplify f into f 2.790 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.790 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.790 * [taylor]: Taking taylor expansion of n in n 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.791 * [backup-simplify]: Simplify (/ 1 1) into 1 2.791 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.791 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.791 * [taylor]: Taking taylor expansion of f in n 2.791 * [backup-simplify]: Simplify f into f 2.791 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.791 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.791 * [taylor]: Taking taylor expansion of n in n 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 1 into 1 2.791 * [backup-simplify]: Simplify (/ 1 1) into 1 2.792 * [backup-simplify]: Simplify (+ 0 1) into 1 2.792 * [backup-simplify]: Simplify (- 1) into -1 2.793 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.793 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.793 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.793 * [taylor]: Taking taylor expansion of -1 in f 2.793 * [backup-simplify]: Simplify -1 into -1 2.793 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.793 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.793 * [taylor]: Taking taylor expansion of f in f 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.794 * [backup-simplify]: Simplify (/ 1 1) into 1 2.794 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.794 * [taylor]: Taking taylor expansion of n in f 2.794 * [backup-simplify]: Simplify n into n 2.794 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.794 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.794 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.794 * [taylor]: Taking taylor expansion of f in f 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [backup-simplify]: Simplify (/ 1 1) into 1 2.794 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.794 * [taylor]: Taking taylor expansion of n in f 2.794 * [backup-simplify]: Simplify n into n 2.794 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.795 * [backup-simplify]: Simplify (+ 1 0) into 1 2.795 * [backup-simplify]: Simplify (+ 1 0) into 1 2.796 * [backup-simplify]: Simplify (/ 1 1) into 1 2.796 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.796 * [taylor]: Taking taylor expansion of -1 in f 2.796 * [backup-simplify]: Simplify -1 into -1 2.796 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.796 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.796 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.796 * [taylor]: Taking taylor expansion of f in f 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify (/ 1 1) into 1 2.796 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.796 * [taylor]: Taking taylor expansion of n in f 2.796 * [backup-simplify]: Simplify n into n 2.796 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.796 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.796 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.797 * [taylor]: Taking taylor expansion of f in f 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (/ 1 1) into 1 2.797 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.797 * [taylor]: Taking taylor expansion of n in f 2.797 * [backup-simplify]: Simplify n into n 2.797 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.798 * [backup-simplify]: Simplify (+ 1 0) into 1 2.798 * [backup-simplify]: Simplify (+ 1 0) into 1 2.798 * [backup-simplify]: Simplify (/ 1 1) into 1 2.799 * [backup-simplify]: Simplify (* -1 1) into -1 2.799 * [taylor]: Taking taylor expansion of -1 in n 2.799 * [backup-simplify]: Simplify -1 into -1 2.799 * [backup-simplify]: Simplify -1 into -1 2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.801 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.801 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.801 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.802 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.802 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.802 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.802 * [taylor]: Taking taylor expansion of 2 in n 2.802 * [backup-simplify]: Simplify 2 into 2 2.802 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.802 * [taylor]: Taking taylor expansion of n in n 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.804 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.804 * [backup-simplify]: Simplify (- 0) into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.806 * [backup-simplify]: Simplify (+ 0 0) into 0 2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.807 * [backup-simplify]: Simplify (- 0) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.810 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.810 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.810 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.810 * [taylor]: Taking taylor expansion of 2 in n 2.810 * [backup-simplify]: Simplify 2 into 2 2.810 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.810 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.810 * [taylor]: Taking taylor expansion of n in n 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (* 1 1) into 1 2.811 * [backup-simplify]: Simplify (/ 1 1) into 1 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.815 * [backup-simplify]: Simplify (- 0) into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.818 * [backup-simplify]: Simplify (- 0) into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.820 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.821 * [backup-simplify]: Simplify (- 0) into 0 2.822 * [backup-simplify]: Simplify (+ 0 0) into 0 2.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.824 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.825 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.825 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.825 * [taylor]: Taking taylor expansion of 2 in n 2.825 * [backup-simplify]: Simplify 2 into 2 2.825 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.825 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.825 * [taylor]: Taking taylor expansion of n in n 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (* 1 1) into 1 2.826 * [backup-simplify]: Simplify (* 1 1) into 1 2.826 * [backup-simplify]: Simplify (/ 1 1) into 1 2.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (- 0) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify -1 into -1 2.836 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.836 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.836 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.836 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.836 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.836 * [taylor]: Taking taylor expansion of f in n 2.836 * [backup-simplify]: Simplify f into f 2.836 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.836 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.836 * [taylor]: Taking taylor expansion of n in n 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.837 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.837 * [taylor]: Taking taylor expansion of n in n 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.837 * [taylor]: Taking taylor expansion of f in n 2.837 * [backup-simplify]: Simplify f into f 2.837 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.838 * [backup-simplify]: Simplify (+ 0 1) into 1 2.838 * [backup-simplify]: Simplify (+ 1 0) into 1 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.839 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.839 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.839 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.839 * [taylor]: Taking taylor expansion of f in f 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.839 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.839 * [taylor]: Taking taylor expansion of n in f 2.839 * [backup-simplify]: Simplify n into n 2.839 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.839 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.839 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.839 * [taylor]: Taking taylor expansion of n in f 2.839 * [backup-simplify]: Simplify n into n 2.839 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.839 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.839 * [taylor]: Taking taylor expansion of f in f 2.839 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (/ 1 1) into 1 2.840 * [backup-simplify]: Simplify (+ 1 0) into 1 2.841 * [backup-simplify]: Simplify (- 1) into -1 2.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.841 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.842 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.842 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.842 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.842 * [taylor]: Taking taylor expansion of f in f 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (/ 1 1) into 1 2.842 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.842 * [taylor]: Taking taylor expansion of n in f 2.842 * [backup-simplify]: Simplify n into n 2.842 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.842 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.842 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.842 * [taylor]: Taking taylor expansion of n in f 2.842 * [backup-simplify]: Simplify n into n 2.842 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.842 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.842 * [taylor]: Taking taylor expansion of f in f 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (/ 1 1) into 1 2.843 * [backup-simplify]: Simplify (+ 1 0) into 1 2.844 * [backup-simplify]: Simplify (- 1) into -1 2.844 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.844 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.844 * [taylor]: Taking taylor expansion of -1 in n 2.845 * [backup-simplify]: Simplify -1 into -1 2.845 * [backup-simplify]: Simplify -1 into -1 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (- 0) into 0 2.847 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.847 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.847 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.847 * [taylor]: Taking taylor expansion of 2 in n 2.847 * [backup-simplify]: Simplify 2 into 2 2.847 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.847 * [taylor]: Taking taylor expansion of n in n 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.847 * [backup-simplify]: Simplify (/ 1 1) into 1 2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.849 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.849 * [backup-simplify]: Simplify (- 0) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (- 0) into 0 2.852 * [backup-simplify]: Simplify (+ 0 0) into 0 2.854 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.854 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.854 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.854 * [taylor]: Taking taylor expansion of 2 in n 2.854 * [backup-simplify]: Simplify 2 into 2 2.854 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.854 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.854 * [taylor]: Taking taylor expansion of n in n 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [backup-simplify]: Simplify (* 1 1) into 1 2.854 * [backup-simplify]: Simplify (/ 1 1) into 1 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.859 * [backup-simplify]: Simplify (- 0) into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.862 * [backup-simplify]: Simplify (- 0) into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.863 * [backup-simplify]: Simplify (+ 0 0) into 0 2.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (- 0) into 0 2.865 * [backup-simplify]: Simplify (+ 0 0) into 0 2.867 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.867 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.867 * [taylor]: Taking taylor expansion of 2 in n 2.867 * [backup-simplify]: Simplify 2 into 2 2.867 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.867 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.867 * [taylor]: Taking taylor expansion of n in n 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [backup-simplify]: Simplify (* 1 1) into 1 2.868 * [backup-simplify]: Simplify (* 1 1) into 1 2.868 * [backup-simplify]: Simplify (/ 1 1) into 1 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (- 0) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify -1 into -1 2.878 * * * [progress]: simplifying candidates 2.882 * [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 (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* 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1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) -1 1 1 1 -1 -1 2.887 * * [simplify]: iteration 0: 219 enodes 3.013 * * [simplify]: iteration 1: 589 enodes 3.303 * * [simplify]: iteration 2: 2128 enodes 4.086 * * [simplify]: iteration complete: 5002 enodes 4.086 * * [simplify]: Extracting #0: cost 166 inf + 0 4.092 * * [simplify]: Extracting #1: cost 1292 inf + 2 4.104 * * [simplify]: Extracting #2: cost 1896 inf + 7521 4.141 * * [simplify]: Extracting #3: cost 1751 inf + 73854 4.201 * * [simplify]: Extracting #4: cost 504 inf + 326134 4.308 * * [simplify]: Extracting #5: cost 29 inf + 448579 4.419 * * [simplify]: Extracting #6: cost 16 inf + 453810 4.490 * * [simplify]: Extracting #7: cost 2 inf + 456081 4.579 * * [simplify]: Extracting #8: cost 0 inf + 456587 4.661 * [simplify]: Simplified to: (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (- (- f n)) (- (- f) n) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (- f n)) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f 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f))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt -1)) (* (/ (sqrt -1) (- f n)) (cbrt (+ n f))) (* (sqrt (+ n f)) (sqrt -1)) (/ (sqrt -1) (/ (- f n) (sqrt (+ n f)))) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ n f)) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ n f)) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ n f)) (/ (sqrt -1) (- f n)) (* (+ n f) (sqrt -1)) (* (+ (* n (* n n)) (* (* f f) f)) (/ (sqrt -1) (- f n))) (/ (sqrt -1) (+ (* f f) (* n (- n f)))) (* (/ (sqrt -1) (- f n)) (* (+ f n) (- f n))) (/ (sqrt -1) (- f n)) (/ (/ 1 (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f)))) (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (* (/ -1 (cbrt (- f n))) (/ -1 (cbrt (- f n)))) (/ (- (- f) n) (cbrt (- f n))) (* (/ -1 (cbrt (- f n))) (/ -1 (cbrt (- f n)))) (/ (- (- f) n) (cbrt (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (/ (- (cbrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ (- (- f) n) (- f n)) 1 (/ (- (- f) n) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) (- (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 (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ (- (- f) n) (- f n)) 1 (/ (- (- f) n) (- f n)) 1 (/ (- (- f) n) (- f n)) (/ 1 (- f n)) (- (- f) n) (/ (+ (* n (* n n)) (* (* f f) f)) (- f n)) (/ -1 (+ (* f f) (* n (- n f)))) (/ (* (+ f n) (- f n)) (- f n)) (/ -1 (- f n)) (/ (+ n f) (- f n)) (/ (- f n) (- (- f) n)) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (* (- (cbrt (+ n f))) (cbrt (+ n f))) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 (/ (* (- (cbrt (+ n f))) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 -1 (/ -1 (- f n)) (/ (- (+ (* n (* n n)) (* (* f f) f))) (- f n)) (/ (- (* (+ f n) (- f n))) (- f n)) (/ (/ (- f n) (+ n f)) (cbrt -1)) (/ (/ (- f n) (sqrt -1)) (+ n f)) (/ (- f n) (- (- f) n)) (/ -1 (- f n)) -1 1 1 1 -1 -1 4.673 * * * [progress]: adding candidates to table 5.346 * * [progress]: iteration 3 / 4 5.347 * * * [progress]: picking best candidate 5.360 * * * * [pick]: Picked # 5.360 * * * [progress]: localizing error 5.387 * * * [progress]: generating rewritten candidates 5.387 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 5.457 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 5.475 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 5.536 * * * [progress]: generating series expansions 5.536 * * * * [progress]: [ 1 / 3 ] generating series at (2) 5.536 * [backup-simplify]: Simplify (/ (/ -1 (- f n)) (/ 1 (+ f n))) into (* -1 (/ (+ n f) (- f n))) 5.536 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.536 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.536 * [taylor]: Taking taylor expansion of -1 in n 5.536 * [backup-simplify]: Simplify -1 into -1 5.536 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.536 * [taylor]: Taking taylor expansion of (+ n f) in n 5.536 * [taylor]: Taking taylor expansion of n in n 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify 1 into 1 5.536 * [taylor]: Taking taylor expansion of f in n 5.536 * [backup-simplify]: Simplify f into f 5.537 * [taylor]: Taking taylor expansion of (- f n) in n 5.537 * [taylor]: Taking taylor expansion of f in n 5.537 * [backup-simplify]: Simplify f into f 5.537 * [taylor]: Taking taylor expansion of n in n 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 1 into 1 5.537 * [backup-simplify]: Simplify (+ 0 f) into f 5.537 * [backup-simplify]: Simplify (- 0) into 0 5.537 * [backup-simplify]: Simplify (+ f 0) into f 5.538 * [backup-simplify]: Simplify (/ f f) into 1 5.538 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.538 * [taylor]: Taking taylor expansion of -1 in f 5.538 * [backup-simplify]: Simplify -1 into -1 5.538 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.538 * [taylor]: Taking taylor expansion of (+ n f) in f 5.538 * [taylor]: Taking taylor expansion of n in f 5.538 * [backup-simplify]: Simplify n into n 5.538 * [taylor]: Taking taylor expansion of f in f 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [taylor]: Taking taylor expansion of (- f n) in f 5.538 * [taylor]: Taking taylor expansion of f in f 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [taylor]: Taking taylor expansion of n in f 5.538 * [backup-simplify]: Simplify n into n 5.538 * [backup-simplify]: Simplify (+ n 0) into n 5.538 * [backup-simplify]: Simplify (- n) into (- n) 5.538 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.538 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.538 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.538 * [taylor]: Taking taylor expansion of -1 in f 5.538 * [backup-simplify]: Simplify -1 into -1 5.538 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.538 * [taylor]: Taking taylor expansion of (+ n f) in f 5.538 * [taylor]: Taking taylor expansion of n in f 5.538 * [backup-simplify]: Simplify n into n 5.538 * [taylor]: Taking taylor expansion of f in f 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [taylor]: Taking taylor expansion of (- f n) in f 5.538 * [taylor]: Taking taylor expansion of f in f 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [taylor]: Taking taylor expansion of n in f 5.539 * [backup-simplify]: Simplify n into n 5.539 * [backup-simplify]: Simplify (+ n 0) into n 5.539 * [backup-simplify]: Simplify (- n) into (- n) 5.539 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.539 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.539 * [backup-simplify]: Simplify (* -1 -1) into 1 5.539 * [taylor]: Taking taylor expansion of 1 in n 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [backup-simplify]: Simplify 1 into 1 5.540 * [backup-simplify]: Simplify (+ 0 1) into 1 5.540 * [backup-simplify]: Simplify (- 0) into 0 5.541 * [backup-simplify]: Simplify (+ 1 0) into 1 5.541 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.541 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.541 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.541 * [taylor]: Taking taylor expansion of 2 in n 5.541 * [backup-simplify]: Simplify 2 into 2 5.541 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.541 * [taylor]: Taking taylor expansion of n in n 5.541 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 1 into 1 5.542 * [backup-simplify]: Simplify (/ 1 1) into 1 5.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.543 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify (+ 0 0) into 0 5.544 * [backup-simplify]: Simplify (- 0) into 0 5.545 * [backup-simplify]: Simplify (+ 0 0) into 0 5.545 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.546 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.546 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.546 * [taylor]: Taking taylor expansion of 2 in n 5.546 * [backup-simplify]: Simplify 2 into 2 5.546 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.546 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.546 * [taylor]: Taking taylor expansion of n in n 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 1 into 1 5.547 * [backup-simplify]: Simplify (* 1 1) into 1 5.547 * [backup-simplify]: Simplify (/ 1 1) into 1 5.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.552 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.552 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.554 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify (+ 0 0) into 0 5.554 * [backup-simplify]: Simplify (- 0) into 0 5.555 * [backup-simplify]: Simplify (+ 0 0) into 0 5.556 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.557 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.557 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.557 * [taylor]: Taking taylor expansion of 2 in n 5.557 * [backup-simplify]: Simplify 2 into 2 5.557 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.557 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.557 * [taylor]: Taking taylor expansion of n in n 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify 1 into 1 5.557 * [backup-simplify]: Simplify (* 1 1) into 1 5.558 * [backup-simplify]: Simplify (* 1 1) into 1 5.558 * [backup-simplify]: Simplify (/ 1 1) into 1 5.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 1 into 1 5.567 * [backup-simplify]: Simplify (/ (/ -1 (- (/ 1 f) (/ 1 n))) (/ 1 (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 5.567 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.567 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.567 * [taylor]: Taking taylor expansion of -1 in n 5.568 * [backup-simplify]: Simplify -1 into -1 5.568 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.568 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.568 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.568 * [taylor]: Taking taylor expansion of f in n 5.568 * [backup-simplify]: Simplify f into f 5.568 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.568 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.568 * [taylor]: Taking taylor expansion of n in n 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify 1 into 1 5.568 * [backup-simplify]: Simplify (/ 1 1) into 1 5.568 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.568 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.568 * [taylor]: Taking taylor expansion of f in n 5.568 * [backup-simplify]: Simplify f into f 5.568 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.568 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.568 * [taylor]: Taking taylor expansion of n in n 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify 1 into 1 5.569 * [backup-simplify]: Simplify (/ 1 1) into 1 5.569 * [backup-simplify]: Simplify (+ 0 1) into 1 5.570 * [backup-simplify]: Simplify (- 1) into -1 5.570 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.571 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.571 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.571 * [taylor]: Taking taylor expansion of -1 in f 5.571 * [backup-simplify]: Simplify -1 into -1 5.571 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.571 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.571 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.571 * [taylor]: Taking taylor expansion of f in f 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (/ 1 1) into 1 5.571 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.572 * [taylor]: Taking taylor expansion of n in f 5.572 * [backup-simplify]: Simplify n into n 5.572 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.572 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.572 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.572 * [taylor]: Taking taylor expansion of f in f 5.572 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify 1 into 1 5.572 * [backup-simplify]: Simplify (/ 1 1) into 1 5.572 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.572 * [taylor]: Taking taylor expansion of n in f 5.572 * [backup-simplify]: Simplify n into n 5.572 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.573 * [backup-simplify]: Simplify (+ 1 0) into 1 5.573 * [backup-simplify]: Simplify (+ 1 0) into 1 5.574 * [backup-simplify]: Simplify (/ 1 1) into 1 5.574 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.574 * [taylor]: Taking taylor expansion of -1 in f 5.574 * [backup-simplify]: Simplify -1 into -1 5.574 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.574 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.574 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.574 * [taylor]: Taking taylor expansion of f in f 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify 1 into 1 5.574 * [backup-simplify]: Simplify (/ 1 1) into 1 5.574 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.574 * [taylor]: Taking taylor expansion of n in f 5.574 * [backup-simplify]: Simplify n into n 5.574 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.574 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.574 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.574 * [taylor]: Taking taylor expansion of f in f 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify 1 into 1 5.575 * [backup-simplify]: Simplify (/ 1 1) into 1 5.575 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.575 * [taylor]: Taking taylor expansion of n in f 5.575 * [backup-simplify]: Simplify n into n 5.575 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.575 * [backup-simplify]: Simplify (+ 1 0) into 1 5.576 * [backup-simplify]: Simplify (+ 1 0) into 1 5.576 * [backup-simplify]: Simplify (/ 1 1) into 1 5.577 * [backup-simplify]: Simplify (* -1 1) into -1 5.577 * [taylor]: Taking taylor expansion of -1 in n 5.577 * [backup-simplify]: Simplify -1 into -1 5.577 * [backup-simplify]: Simplify -1 into -1 5.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.578 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.579 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.579 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.579 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.580 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.580 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.580 * [taylor]: Taking taylor expansion of 2 in n 5.580 * [backup-simplify]: Simplify 2 into 2 5.580 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.580 * [taylor]: Taking taylor expansion of n in n 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 1 into 1 5.580 * [backup-simplify]: Simplify (/ 1 1) into 1 5.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.582 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.582 * [backup-simplify]: Simplify (- 0) into 0 5.582 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.584 * [backup-simplify]: Simplify (+ 0 0) into 0 5.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.586 * [backup-simplify]: Simplify (- 0) into 0 5.586 * [backup-simplify]: Simplify (+ 0 0) into 0 5.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.588 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.588 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.588 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.588 * [taylor]: Taking taylor expansion of 2 in n 5.588 * [backup-simplify]: Simplify 2 into 2 5.588 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.588 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.588 * [taylor]: Taking taylor expansion of n in n 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify (* 1 1) into 1 5.589 * [backup-simplify]: Simplify (/ 1 1) into 1 5.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.594 * [backup-simplify]: Simplify (- 0) into 0 5.594 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.596 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.597 * [backup-simplify]: Simplify (- 0) into 0 5.597 * [backup-simplify]: Simplify 0 into 0 5.597 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.598 * [backup-simplify]: Simplify (+ 0 0) into 0 5.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.600 * [backup-simplify]: Simplify (- 0) into 0 5.600 * [backup-simplify]: Simplify (+ 0 0) into 0 5.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.603 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.603 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.603 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.603 * [taylor]: Taking taylor expansion of 2 in n 5.603 * [backup-simplify]: Simplify 2 into 2 5.603 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.603 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.603 * [taylor]: Taking taylor expansion of n in n 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.603 * [backup-simplify]: Simplify (* 1 1) into 1 5.604 * [backup-simplify]: Simplify (* 1 1) into 1 5.604 * [backup-simplify]: Simplify (/ 1 1) into 1 5.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.613 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.614 * [backup-simplify]: Simplify (- 0) into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify -1 into -1 5.614 * [backup-simplify]: Simplify (/ (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.614 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.614 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.614 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.614 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.614 * [taylor]: Taking taylor expansion of f in n 5.614 * [backup-simplify]: Simplify f into f 5.614 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.614 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.614 * [taylor]: Taking taylor expansion of n in n 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify 1 into 1 5.615 * [backup-simplify]: Simplify (/ 1 1) into 1 5.615 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.615 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.615 * [taylor]: Taking taylor expansion of n in n 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.615 * [backup-simplify]: Simplify (/ 1 1) into 1 5.615 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.615 * [taylor]: Taking taylor expansion of f in n 5.615 * [backup-simplify]: Simplify f into f 5.615 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.616 * [backup-simplify]: Simplify (+ 0 1) into 1 5.616 * [backup-simplify]: Simplify (+ 1 0) into 1 5.617 * [backup-simplify]: Simplify (/ 1 1) into 1 5.617 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.617 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.617 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.617 * [taylor]: Taking taylor expansion of f in f 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [backup-simplify]: Simplify (/ 1 1) into 1 5.617 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.617 * [taylor]: Taking taylor expansion of n in f 5.617 * [backup-simplify]: Simplify n into n 5.617 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.617 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.617 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.617 * [taylor]: Taking taylor expansion of n in f 5.617 * [backup-simplify]: Simplify n into n 5.617 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.617 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.617 * [taylor]: Taking taylor expansion of f in f 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (/ 1 1) into 1 5.618 * [backup-simplify]: Simplify (+ 1 0) into 1 5.619 * [backup-simplify]: Simplify (- 1) into -1 5.619 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.620 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.620 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.620 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.620 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.620 * [taylor]: Taking taylor expansion of f in f 5.620 * [backup-simplify]: Simplify 0 into 0 5.620 * [backup-simplify]: Simplify 1 into 1 5.620 * [backup-simplify]: Simplify (/ 1 1) into 1 5.620 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.620 * [taylor]: Taking taylor expansion of n in f 5.620 * [backup-simplify]: Simplify n into n 5.620 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.620 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.620 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.620 * [taylor]: Taking taylor expansion of n in f 5.621 * [backup-simplify]: Simplify n into n 5.621 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.621 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.621 * [taylor]: Taking taylor expansion of f in f 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 1 into 1 5.621 * [backup-simplify]: Simplify (/ 1 1) into 1 5.621 * [backup-simplify]: Simplify (+ 1 0) into 1 5.622 * [backup-simplify]: Simplify (- 1) into -1 5.622 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.623 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.623 * [taylor]: Taking taylor expansion of -1 in n 5.623 * [backup-simplify]: Simplify -1 into -1 5.623 * [backup-simplify]: Simplify -1 into -1 5.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.624 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.625 * [backup-simplify]: Simplify (- 0) into 0 5.625 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.625 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.625 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.625 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.625 * [taylor]: Taking taylor expansion of 2 in n 5.625 * [backup-simplify]: Simplify 2 into 2 5.625 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.625 * [taylor]: Taking taylor expansion of n in n 5.625 * [backup-simplify]: Simplify 0 into 0 5.625 * [backup-simplify]: Simplify 1 into 1 5.626 * [backup-simplify]: Simplify (/ 1 1) into 1 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.628 * [backup-simplify]: Simplify (- 0) into 0 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.629 * [backup-simplify]: Simplify (+ 0 0) into 0 5.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.631 * [backup-simplify]: Simplify (- 0) into 0 5.631 * [backup-simplify]: Simplify (+ 0 0) into 0 5.633 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.633 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.633 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.633 * [taylor]: Taking taylor expansion of 2 in n 5.633 * [backup-simplify]: Simplify 2 into 2 5.633 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.633 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.633 * [taylor]: Taking taylor expansion of n in n 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (* 1 1) into 1 5.634 * [backup-simplify]: Simplify (/ 1 1) into 1 5.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.638 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.638 * [backup-simplify]: Simplify (- 0) into 0 5.638 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.640 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.640 * [backup-simplify]: Simplify (- 0) into 0 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.642 * [backup-simplify]: Simplify (+ 0 0) into 0 5.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.644 * [backup-simplify]: Simplify (- 0) into 0 5.644 * [backup-simplify]: Simplify (+ 0 0) into 0 5.645 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.645 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.645 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.645 * [taylor]: Taking taylor expansion of 2 in n 5.645 * [backup-simplify]: Simplify 2 into 2 5.645 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.645 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.645 * [taylor]: Taking taylor expansion of n in n 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 1 into 1 5.646 * [backup-simplify]: Simplify (* 1 1) into 1 5.646 * [backup-simplify]: Simplify (* 1 1) into 1 5.646 * [backup-simplify]: Simplify (/ 1 1) into 1 5.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.651 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (- 0) into 0 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify -1 into -1 5.652 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 5.652 * [backup-simplify]: Simplify (/ 1 (+ f n)) into (/ 1 (+ n f)) 5.652 * [approximate]: Taking taylor expansion of (/ 1 (+ n f)) in (f n) around 0 5.652 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in n 5.652 * [taylor]: Taking taylor expansion of (+ n f) in n 5.652 * [taylor]: Taking taylor expansion of n in n 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [taylor]: Taking taylor expansion of f in n 5.652 * [backup-simplify]: Simplify f into f 5.652 * [backup-simplify]: Simplify (+ 0 f) into f 5.652 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.652 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 5.652 * [taylor]: Taking taylor expansion of (+ n f) in f 5.652 * [taylor]: Taking taylor expansion of n in f 5.652 * [backup-simplify]: Simplify n into n 5.652 * [taylor]: Taking taylor expansion of f in f 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (+ n 0) into n 5.652 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.652 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 5.652 * [taylor]: Taking taylor expansion of (+ n f) in f 5.652 * [taylor]: Taking taylor expansion of n in f 5.652 * [backup-simplify]: Simplify n into n 5.652 * [taylor]: Taking taylor expansion of f in f 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (+ n 0) into n 5.652 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.652 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.652 * [taylor]: Taking taylor expansion of n in n 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.653 * [backup-simplify]: Simplify (/ 1 1) into 1 5.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify (+ 0 1) into 1 5.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.654 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.654 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.654 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.654 * [taylor]: Taking taylor expansion of n in n 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 1 into 1 5.654 * [backup-simplify]: Simplify (* 1 1) into 1 5.654 * [backup-simplify]: Simplify (/ 1 1) into 1 5.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.656 * [backup-simplify]: Simplify (- 0) into 0 5.656 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.658 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.658 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.658 * [taylor]: Taking taylor expansion of n in n 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 1 into 1 5.658 * [backup-simplify]: Simplify (* 1 1) into 1 5.658 * [backup-simplify]: Simplify (* 1 1) into 1 5.658 * [backup-simplify]: Simplify (/ 1 1) into 1 5.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.667 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.669 * [backup-simplify]: Simplify (- 0) into 0 5.669 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 f) (/ 1 n))) into (/ 1 (+ (/ 1 f) (/ 1 n))) 5.670 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 5.670 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 5.670 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.670 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.670 * [taylor]: Taking taylor expansion of f in n 5.670 * [backup-simplify]: Simplify f into f 5.670 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.670 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.670 * [taylor]: Taking taylor expansion of n in n 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (/ 1 1) into 1 5.671 * [backup-simplify]: Simplify (+ 0 1) into 1 5.671 * [backup-simplify]: Simplify (/ 1 1) into 1 5.671 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 5.671 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.671 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.671 * [taylor]: Taking taylor expansion of f in f 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify 1 into 1 5.672 * [backup-simplify]: Simplify (/ 1 1) into 1 5.672 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.672 * [taylor]: Taking taylor expansion of n in f 5.672 * [backup-simplify]: Simplify n into n 5.672 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.672 * [backup-simplify]: Simplify (+ 1 0) into 1 5.672 * [backup-simplify]: Simplify (/ 1 1) into 1 5.672 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 5.672 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.672 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.672 * [taylor]: Taking taylor expansion of f in f 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 1 into 1 5.673 * [backup-simplify]: Simplify (/ 1 1) into 1 5.673 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.673 * [taylor]: Taking taylor expansion of n in f 5.673 * [backup-simplify]: Simplify n into n 5.673 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.673 * [backup-simplify]: Simplify (+ 1 0) into 1 5.674 * [backup-simplify]: Simplify (/ 1 1) into 1 5.674 * [taylor]: Taking taylor expansion of 1 in n 5.674 * [backup-simplify]: Simplify 1 into 1 5.674 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.675 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.675 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 5.675 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.675 * [taylor]: Taking taylor expansion of n in n 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify 1 into 1 5.675 * [backup-simplify]: Simplify (/ 1 1) into 1 5.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.677 * [backup-simplify]: Simplify (- 0) into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.679 * [backup-simplify]: Simplify (+ 0 0) into 0 5.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.680 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.680 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.680 * [taylor]: Taking taylor expansion of n in n 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 1 into 1 5.681 * [backup-simplify]: Simplify (* 1 1) into 1 5.681 * [backup-simplify]: Simplify (/ 1 1) into 1 5.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.686 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.688 * [backup-simplify]: Simplify (- 0) into 0 5.688 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (+ (/ 1 f) (/ 1 n))) 5.688 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 5.688 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in n 5.688 * [taylor]: Taking taylor expansion of -1 in n 5.688 * [backup-simplify]: Simplify -1 into -1 5.688 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.688 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.688 * [taylor]: Taking taylor expansion of f in n 5.688 * [backup-simplify]: Simplify f into f 5.688 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.688 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.689 * [taylor]: Taking taylor expansion of n in n 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify 1 into 1 5.689 * [backup-simplify]: Simplify (/ 1 1) into 1 5.689 * [backup-simplify]: Simplify (+ 0 1) into 1 5.690 * [backup-simplify]: Simplify (/ -1 1) into -1 5.690 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 5.690 * [taylor]: Taking taylor expansion of -1 in f 5.690 * [backup-simplify]: Simplify -1 into -1 5.690 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.690 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.690 * [taylor]: Taking taylor expansion of f in f 5.690 * [backup-simplify]: Simplify 0 into 0 5.690 * [backup-simplify]: Simplify 1 into 1 5.690 * [backup-simplify]: Simplify (/ 1 1) into 1 5.690 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.690 * [taylor]: Taking taylor expansion of n in f 5.691 * [backup-simplify]: Simplify n into n 5.691 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.691 * [backup-simplify]: Simplify (+ 1 0) into 1 5.691 * [backup-simplify]: Simplify (/ -1 1) into -1 5.692 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 5.692 * [taylor]: Taking taylor expansion of -1 in f 5.692 * [backup-simplify]: Simplify -1 into -1 5.692 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.692 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.692 * [taylor]: Taking taylor expansion of f in f 5.692 * [backup-simplify]: Simplify 0 into 0 5.692 * [backup-simplify]: Simplify 1 into 1 5.692 * [backup-simplify]: Simplify (/ 1 1) into 1 5.692 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.692 * [taylor]: Taking taylor expansion of n in f 5.692 * [backup-simplify]: Simplify n into n 5.692 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.693 * [backup-simplify]: Simplify (+ 1 0) into 1 5.693 * [backup-simplify]: Simplify (/ -1 1) into -1 5.693 * [taylor]: Taking taylor expansion of -1 in n 5.693 * [backup-simplify]: Simplify -1 into -1 5.693 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.694 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 n) 1)))) into (/ 1 n) 5.695 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.695 * [taylor]: Taking taylor expansion of n in n 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 1 into 1 5.695 * [backup-simplify]: Simplify (/ 1 1) into 1 5.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.697 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify 0 into 0 5.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.698 * [backup-simplify]: Simplify (+ 0 0) into 0 5.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 n) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 2))) 5.700 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.700 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.700 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.700 * [taylor]: Taking taylor expansion of n in n 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 1 into 1 5.700 * [backup-simplify]: Simplify (* 1 1) into 1 5.701 * [backup-simplify]: Simplify (/ 1 1) into 1 5.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.706 * [backup-simplify]: Simplify (- 0) into 0 5.706 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 5.708 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 5.708 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 5.708 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 5.708 * [taylor]: Taking taylor expansion of -1 in n 5.708 * [backup-simplify]: Simplify -1 into -1 5.708 * [taylor]: Taking taylor expansion of (- f n) in n 5.708 * [taylor]: Taking taylor expansion of f in n 5.708 * [backup-simplify]: Simplify f into f 5.708 * [taylor]: Taking taylor expansion of n in n 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 1 into 1 5.708 * [backup-simplify]: Simplify (- 0) into 0 5.708 * [backup-simplify]: Simplify (+ f 0) into f 5.708 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 5.708 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 5.708 * [taylor]: Taking taylor expansion of -1 in f 5.708 * [backup-simplify]: Simplify -1 into -1 5.708 * [taylor]: Taking taylor expansion of (- f n) in f 5.708 * [taylor]: Taking taylor expansion of f in f 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.709 * [taylor]: Taking taylor expansion of n in f 5.709 * [backup-simplify]: Simplify n into n 5.709 * [backup-simplify]: Simplify (- n) into (- n) 5.709 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.709 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 5.709 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 5.709 * [taylor]: Taking taylor expansion of -1 in f 5.709 * [backup-simplify]: Simplify -1 into -1 5.709 * [taylor]: Taking taylor expansion of (- f n) in f 5.709 * [taylor]: Taking taylor expansion of f in f 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.709 * [taylor]: Taking taylor expansion of n in f 5.709 * [backup-simplify]: Simplify n into n 5.709 * [backup-simplify]: Simplify (- n) into (- n) 5.709 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.709 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 5.709 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.709 * [taylor]: Taking taylor expansion of n in n 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.710 * [backup-simplify]: Simplify (/ 1 1) into 1 5.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.711 * [backup-simplify]: Simplify 0 into 0 5.711 * [backup-simplify]: Simplify (- 0) into 0 5.711 * [backup-simplify]: Simplify (+ 1 0) into 1 5.712 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 5.712 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.712 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.712 * [taylor]: Taking taylor expansion of n in n 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify 1 into 1 5.712 * [backup-simplify]: Simplify (* 1 1) into 1 5.713 * [backup-simplify]: Simplify (/ 1 1) into 1 5.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.716 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify (- 0) into 0 5.718 * [backup-simplify]: Simplify (+ 0 0) into 0 5.718 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 5.718 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.718 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.718 * [taylor]: Taking taylor expansion of n in n 5.718 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify 1 into 1 5.719 * [backup-simplify]: Simplify (* 1 1) into 1 5.719 * [backup-simplify]: Simplify (* 1 1) into 1 5.720 * [backup-simplify]: Simplify (/ 1 1) into 1 5.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.727 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.729 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.730 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 5.730 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 5.730 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 5.730 * [taylor]: Taking taylor expansion of -1 in n 5.730 * [backup-simplify]: Simplify -1 into -1 5.730 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.731 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.731 * [taylor]: Taking taylor expansion of f in n 5.731 * [backup-simplify]: Simplify f into f 5.731 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.731 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.731 * [taylor]: Taking taylor expansion of n in n 5.731 * [backup-simplify]: Simplify 0 into 0 5.731 * [backup-simplify]: Simplify 1 into 1 5.731 * [backup-simplify]: Simplify (/ 1 1) into 1 5.731 * [backup-simplify]: Simplify (- 1) into -1 5.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.732 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.732 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 5.732 * [taylor]: Taking taylor expansion of -1 in f 5.732 * [backup-simplify]: Simplify -1 into -1 5.732 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.732 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.732 * [taylor]: Taking taylor expansion of f in f 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify 1 into 1 5.733 * [backup-simplify]: Simplify (/ 1 1) into 1 5.733 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.733 * [taylor]: Taking taylor expansion of n in f 5.733 * [backup-simplify]: Simplify n into n 5.733 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.733 * [backup-simplify]: Simplify (+ 1 0) into 1 5.734 * [backup-simplify]: Simplify (/ -1 1) into -1 5.734 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 5.734 * [taylor]: Taking taylor expansion of -1 in f 5.734 * [backup-simplify]: Simplify -1 into -1 5.734 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.734 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.734 * [taylor]: Taking taylor expansion of f in f 5.734 * [backup-simplify]: Simplify 0 into 0 5.734 * [backup-simplify]: Simplify 1 into 1 5.734 * [backup-simplify]: Simplify (/ 1 1) into 1 5.734 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.734 * [taylor]: Taking taylor expansion of n in f 5.734 * [backup-simplify]: Simplify n into n 5.734 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.735 * [backup-simplify]: Simplify (+ 1 0) into 1 5.735 * [backup-simplify]: Simplify (/ -1 1) into -1 5.735 * [taylor]: Taking taylor expansion of -1 in n 5.735 * [backup-simplify]: Simplify -1 into -1 5.735 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.736 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.736 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 5.737 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 5.737 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.737 * [taylor]: Taking taylor expansion of n in n 5.737 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify 1 into 1 5.737 * [backup-simplify]: Simplify (/ 1 1) into 1 5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.739 * [backup-simplify]: Simplify (- 0) into 0 5.739 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.741 * [backup-simplify]: Simplify (- 0) into 0 5.741 * [backup-simplify]: Simplify (+ 0 0) into 0 5.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 5.743 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.743 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.743 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.743 * [taylor]: Taking taylor expansion of n in n 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.743 * [backup-simplify]: Simplify (* 1 1) into 1 5.744 * [backup-simplify]: Simplify (/ 1 1) into 1 5.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.747 * [backup-simplify]: Simplify (- 0) into 0 5.747 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.748 * [backup-simplify]: Simplify (- 0) into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 5.748 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.748 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 5.748 * [taylor]: Taking taylor expansion of -1 in n 5.748 * [backup-simplify]: Simplify -1 into -1 5.748 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.748 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.748 * [taylor]: Taking taylor expansion of n in n 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (/ 1 1) into 1 5.749 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.749 * [taylor]: Taking taylor expansion of f in n 5.749 * [backup-simplify]: Simplify f into f 5.749 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.749 * [backup-simplify]: Simplify (+ 1 0) into 1 5.749 * [backup-simplify]: Simplify (/ -1 1) into -1 5.749 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 5.749 * [taylor]: Taking taylor expansion of -1 in f 5.749 * [backup-simplify]: Simplify -1 into -1 5.749 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.750 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.750 * [taylor]: Taking taylor expansion of n in f 5.750 * [backup-simplify]: Simplify n into n 5.750 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.750 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.750 * [taylor]: Taking taylor expansion of f in f 5.750 * [backup-simplify]: Simplify 0 into 0 5.750 * [backup-simplify]: Simplify 1 into 1 5.750 * [backup-simplify]: Simplify (/ 1 1) into 1 5.750 * [backup-simplify]: Simplify (- 1) into -1 5.750 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.751 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.751 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 5.751 * [taylor]: Taking taylor expansion of -1 in f 5.751 * [backup-simplify]: Simplify -1 into -1 5.751 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.751 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.751 * [taylor]: Taking taylor expansion of n in f 5.751 * [backup-simplify]: Simplify n into n 5.751 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.751 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.751 * [taylor]: Taking taylor expansion of f in f 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 1 into 1 5.751 * [backup-simplify]: Simplify (/ 1 1) into 1 5.752 * [backup-simplify]: Simplify (- 1) into -1 5.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.753 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.753 * [taylor]: Taking taylor expansion of 1 in n 5.753 * [backup-simplify]: Simplify 1 into 1 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.754 * [backup-simplify]: Simplify (- 0) into 0 5.754 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.754 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 5.754 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.754 * [taylor]: Taking taylor expansion of n in n 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 1 into 1 5.755 * [backup-simplify]: Simplify (/ 1 1) into 1 5.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.756 * [backup-simplify]: Simplify (- 0) into 0 5.757 * [backup-simplify]: Simplify (+ 0 0) into 0 5.757 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (/ 1 n) (/ (/ 1 n) -1)))) into (/ 1 (pow n 2)) 5.757 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.757 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.757 * [taylor]: Taking taylor expansion of n in n 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.758 * [backup-simplify]: Simplify (* 1 1) into 1 5.758 * [backup-simplify]: Simplify (/ 1 1) into 1 5.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.761 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * * * [progress]: simplifying candidates 5.771 * [simplify]: Simplifying: (- (- (log -1) (log (- f n))) (- (log (+ f n)))) (- (- (log -1) (log (- f n))) (- 0 (log (+ f n)))) (- (- (log -1) (log (- f n))) (- (log 1) (log (+ f n)))) (- (- (log -1) (log (- f n))) (log (/ 1 (+ f n)))) (- (log (/ -1 (- f n))) (- (log (+ f n)))) (- (log (/ -1 (- f n))) (- 0 (log (+ f n)))) (- (log (/ -1 (- f n))) (- (log 1) (log (+ f n)))) (- (log (/ -1 (- f n))) (log (/ 1 (+ f n)))) (log (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (exp (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (/ (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (/ (* (* 1 1) 1) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (* (/ 1 (+ f n)) (/ 1 (+ f n))) (/ 1 (+ f n)))) (/ (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (/ (* (* 1 1) 1) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (* (* (/ 1 (+ f n)) (/ 1 (+ f n))) (/ 1 (+ f n)))) (* (cbrt (/ (/ -1 (- f n)) (/ 1 (+ f n)))) (cbrt (/ (/ -1 (- f n)) (/ 1 (+ f 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640 enodes 6.199 * * [simplify]: iteration 1: 2059 enodes 7.021 * * [simplify]: iteration complete: 5000 enodes 7.022 * * [simplify]: Extracting #0: cost 303 inf + 0 7.029 * * [simplify]: Extracting #1: cost 1479 inf + 3 7.034 * * [simplify]: Extracting #2: cost 1875 inf + 3526 7.046 * * [simplify]: Extracting #3: cost 1563 inf + 60432 7.109 * * [simplify]: Extracting #4: cost 646 inf + 269463 7.222 * * [simplify]: Extracting #5: cost 58 inf + 434389 7.311 * * [simplify]: Extracting #6: cost 0 inf + 452998 7.405 * [simplify]: Simplified to: (log (/ -1 (/ (- f n) (+ n f)))) (log (/ -1 (/ (- f n) (+ n f)))) (log (/ -1 (/ (- f n) (+ n f)))) (log (/ -1 (/ (- f n) (+ n f)))) (log (/ -1 (/ (- f n) (+ n f)))) (log (/ -1 (/ (- f n) (+ n f)))) (log (/ -1 (/ (- f n) (+ n f)))) (log (/ -1 (/ (- f n) (+ n f)))) (log (/ -1 (/ (- f n) (+ n f)))) (exp (/ -1 (/ (- f n) (+ n f)))) (* (/ -1 (* (* (- f n) (- f n)) (- f n))) (* (* (+ n f) (+ n f)) (+ n f))) (* (* (/ (/ -1 (- f n)) (/ 1 (+ n f))) (/ (/ -1 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(/ -1 (- (* f f) (* n n))) (+ (* (* n n) n) (* (* f f) f))) (/ (+ n f) (+ (* n (- n f)) (* f f))) -1 (/ (+ n f) (- f n)) (+ n f) (/ (/ 1 (+ n f)) (/ -1 (- f n))) (/ (/ -1 (- f n)) (* (cbrt (/ 1 (+ n f))) (cbrt (/ 1 (+ n f))))) (/ (/ -1 (- f n)) (sqrt (/ 1 (+ n f)))) (* (/ -1 (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (/ -1 (- f n)) (sqrt (+ n f))) (/ -1 (- f n)) (/ -1 (- f n)) (* (/ -1 (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (/ -1 (- f n)) (sqrt (+ n f))) (/ -1 (- f n)) (/ -1 (- f n)) (* (/ -1 (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (/ -1 (- f n)) (sqrt (+ n f))) (/ -1 (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (* (/ -1 (- f n)) (+ (* (* n n) n) (* (* f f) f))) (* (/ -1 (- f n)) (- (* f f) (* n n))) (/ (/ 1 (+ n f)) (cbrt (/ -1 (- f n)))) (/ (/ 1 (+ n f)) (sqrt (/ -1 (- f n)))) (* (/ (/ 1 (+ n f)) (cbrt -1)) (cbrt (- f n))) (* (/ (/ 1 (+ n f)) (cbrt -1)) (sqrt (- f n))) (* (/ (/ 1 (+ n f)) (cbrt -1)) (- f n)) (/ (/ 1 (+ n f)) (/ (cbrt -1) (- (sqrt f) (sqrt n)))) (* (/ (/ 1 (+ n f)) (cbrt -1)) (- f n)) (* (/ (/ 1 (+ n f)) (sqrt -1)) (cbrt (- f n))) (* (/ (/ 1 (+ n f)) (sqrt -1)) (sqrt (- f n))) (* (/ (/ 1 (+ n f)) (sqrt -1)) (- f n)) (* (/ (/ 1 (+ n f)) (sqrt -1)) (- (sqrt f) (sqrt n))) (* (/ (/ 1 (+ n f)) (sqrt -1)) (- f n)) (* (/ (/ 1 (+ n f)) -1) (cbrt (- f n))) (* (/ (/ 1 (+ n f)) -1) (sqrt (- f n))) (/ (/ 1 (+ n f)) (/ -1 (- f n))) (/ (* (/ 1 (+ n f)) (- (sqrt f) (sqrt n))) -1) (/ (/ 1 (+ n f)) (/ -1 (- f n))) (/ (/ 1 (+ n f)) (/ -1 (- f n))) (/ (- f n) (+ n f)) (/ (/ 1 (+ n f)) (+ (* n (+ n f)) (* f f))) (/ (/ 1 (+ n f)) (+ n f)) (/ -1 (- f n)) (/ (- f n) (+ n f)) -1 (- (log (+ n f))) (- (log (+ n f))) (- (log (+ n f))) (- (log (+ n f))) (exp (/ 1 (+ n f))) (/ 1 (* (+ n f) (* (+ n f) (+ n f)))) (* (cbrt (/ 1 (+ n f))) (cbrt (/ 1 (+ n f)))) (cbrt (/ 1 (+ n f))) (/ (/ (/ 1 (+ n f)) (+ n f)) (+ n f)) (sqrt (/ 1 (+ n f))) (sqrt (/ 1 (+ n f))) -1 (- (- f) n) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ 1 (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ 1 (sqrt (+ n f))) 1 (/ 1 (+ n f)) 1 (/ 1 (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ 1 (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ 1 (sqrt (+ n f))) 1 (/ 1 (+ n f)) 1 (/ 1 (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ 1 (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ 1 (sqrt (+ n f))) 1 (/ 1 (+ n f)) 1 (/ 1 (+ n f)) (/ 1 (+ n f)) (+ n f) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ 1 (sqrt (+ n f))) 1 1 (+ n f) (+ n f) (+ n f) (/ 1 (+ (* (* n n) n) (* (* f f) f))) (/ 1 (- (* f f) (* n n))) (log (/ -1 (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ -1 (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (/ -1 (* (* (- f n) (- f n)) (- f n))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) 1 (- (- f n)) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) 1 (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) 1 (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (* (* f f) f) (* (* n n) n))) (/ -1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 0 0 0 7.472 * * * [progress]: adding candidates to table 9.374 * * [progress]: iteration 4 / 4 9.374 * * * [progress]: picking best candidate 9.381 * * * * [pick]: Picked # 9.381 * * * [progress]: localizing error 9.414 * * * [progress]: generating rewritten candidates 9.414 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 9.462 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 9.605 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 9.625 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 9.641 * * * [progress]: generating series expansions 9.641 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.641 * [backup-simplify]: Simplify (/ (+ f n) (sqrt (- f n))) into (* (sqrt (/ 1 (- f n))) (+ n f)) 9.642 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in (f n) around 0 9.642 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in n 9.642 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in n 9.642 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 9.642 * [taylor]: Taking taylor expansion of (- f n) in n 9.642 * [taylor]: Taking taylor expansion of f in n 9.642 * [backup-simplify]: Simplify f into f 9.642 * [taylor]: Taking taylor expansion of n in n 9.642 * [backup-simplify]: Simplify 0 into 0 9.642 * [backup-simplify]: Simplify 1 into 1 9.642 * [backup-simplify]: Simplify (- 0) into 0 9.642 * [backup-simplify]: Simplify (+ f 0) into f 9.642 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.642 * [backup-simplify]: Simplify (sqrt (/ 1 f)) into (sqrt (/ 1 f)) 9.643 * [backup-simplify]: Simplify (- 1) into -1 9.643 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ -1 f)))) into (/ 1 (pow f 2)) 9.643 * [backup-simplify]: Simplify (/ (/ 1 (pow f 2)) (* 2 (sqrt (/ 1 f)))) into (* 1/2 (sqrt (/ 1 (pow f 3)))) 9.643 * [taylor]: Taking taylor expansion of (+ n f) in n 9.643 * [taylor]: Taking taylor expansion of n in n 9.643 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify 1 into 1 9.643 * [taylor]: Taking taylor expansion of f in n 9.643 * [backup-simplify]: Simplify f into f 9.643 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in f 9.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 9.643 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 9.643 * [taylor]: Taking taylor expansion of (- f n) in f 9.643 * [taylor]: Taking taylor expansion of f in f 9.643 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify 1 into 1 9.643 * [taylor]: Taking taylor expansion of n in f 9.643 * [backup-simplify]: Simplify n into n 9.644 * [backup-simplify]: Simplify (- n) into (- n) 9.644 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.644 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 9.644 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 9.644 * [backup-simplify]: Simplify (- 0) into 0 9.644 * [backup-simplify]: Simplify (+ 1 0) into 1 9.644 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 9.645 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 9.645 * [taylor]: Taking taylor expansion of (+ n f) in f 9.645 * [taylor]: Taking taylor expansion of n in f 9.645 * [backup-simplify]: Simplify n into n 9.645 * [taylor]: Taking taylor expansion of f in f 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [backup-simplify]: Simplify 1 into 1 9.645 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in f 9.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 9.645 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 9.645 * [taylor]: Taking taylor expansion of (- f n) in f 9.645 * [taylor]: Taking taylor expansion of f in f 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [backup-simplify]: Simplify 1 into 1 9.645 * [taylor]: Taking taylor expansion of n in f 9.645 * [backup-simplify]: Simplify n into n 9.645 * [backup-simplify]: Simplify (- n) into (- n) 9.645 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.645 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 9.645 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 9.645 * [backup-simplify]: Simplify (- 0) into 0 9.646 * [backup-simplify]: Simplify (+ 1 0) into 1 9.646 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 9.646 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 9.646 * [taylor]: Taking taylor expansion of (+ n f) in f 9.646 * [taylor]: Taking taylor expansion of n in f 9.646 * [backup-simplify]: Simplify n into n 9.646 * [taylor]: Taking taylor expansion of f in f 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 1 into 1 9.646 * [backup-simplify]: Simplify (+ n 0) into n 9.646 * [backup-simplify]: Simplify (* (sqrt (/ -1 n)) n) into (* (sqrt (/ -1 n)) n) 9.646 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 n)) n) in n 9.646 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 9.646 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.646 * [taylor]: Taking taylor expansion of -1 in n 9.646 * [backup-simplify]: Simplify -1 into -1 9.646 * [taylor]: Taking taylor expansion of n in n 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 1 into 1 9.646 * [backup-simplify]: Simplify (/ -1 1) into -1 9.647 * [backup-simplify]: Simplify (sqrt 0) into 0 9.648 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.648 * [taylor]: Taking taylor expansion of n in n 9.648 * [backup-simplify]: Simplify 0 into 0 9.648 * [backup-simplify]: Simplify 1 into 1 9.648 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 0)) into 0 9.648 * [backup-simplify]: Simplify 0 into 0 9.649 * [backup-simplify]: Simplify (+ 0 1) into 1 9.649 * [backup-simplify]: Simplify (+ (* (sqrt (/ -1 n)) 1) (* (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) n)) into (- (sqrt (/ -1 n)) (* 1/2 (/ 1 (* (sqrt (/ -1 n)) n)))) 9.649 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 n)) (* 1/2 (/ 1 (* (sqrt (/ -1 n)) n)))) in n 9.649 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 9.649 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.649 * [taylor]: Taking taylor expansion of -1 in n 9.649 * [backup-simplify]: Simplify -1 into -1 9.649 * [taylor]: Taking taylor expansion of n in n 9.649 * [backup-simplify]: Simplify 0 into 0 9.649 * [backup-simplify]: Simplify 1 into 1 9.649 * [backup-simplify]: Simplify (/ -1 1) into -1 9.650 * [backup-simplify]: Simplify (sqrt 0) into 0 9.650 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt (/ -1 n)) n))) in n 9.650 * [taylor]: Taking taylor expansion of 1/2 in n 9.650 * [backup-simplify]: Simplify 1/2 into 1/2 9.650 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 n)) n)) in n 9.650 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 n)) n) in n 9.651 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 9.651 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.651 * [taylor]: Taking taylor expansion of -1 in n 9.651 * [backup-simplify]: Simplify -1 into -1 9.651 * [taylor]: Taking taylor expansion of n in n 9.651 * [backup-simplify]: Simplify 0 into 0 9.651 * [backup-simplify]: Simplify 1 into 1 9.651 * [backup-simplify]: Simplify (/ -1 1) into -1 9.651 * [backup-simplify]: Simplify (sqrt 0) into 0 9.652 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.652 * [taylor]: Taking taylor expansion of n in n 9.652 * [backup-simplify]: Simplify 0 into 0 9.652 * [backup-simplify]: Simplify 1 into 1 9.652 * [backup-simplify]: Simplify (* 0 0) into 0 9.653 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 0)) into 0 9.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.656 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 0))) into (- +nan.0) 9.658 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 9.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 0)))) into (- +nan.0) 9.666 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.667 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 +nan.0)) into (- +nan.0) 9.668 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 9.668 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.669 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.671 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 0))) into (- +nan.0) 9.673 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.674 * [backup-simplify]: Simplify (+ 0 0) into 0 9.674 * [backup-simplify]: Simplify (- 0) into 0 9.674 * [backup-simplify]: Simplify (+ 0 0) into 0 9.675 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 9.679 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow n 3))) (pow (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 2) (+)) (* 2 (sqrt (/ -1 n)))) into (* -1/2 (/ (+ (/ 1 (pow n 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 n)) 2) (pow n 4))))) (sqrt (/ -1 n)))) 9.680 * [backup-simplify]: Simplify (+ (* (sqrt (/ -1 n)) 0) (+ (* (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 1) (* (* -1/2 (/ (+ (/ 1 (pow n 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 n)) 2) (pow n 4))))) (sqrt (/ -1 n)))) n))) into (- (+ (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3)))))) 9.680 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3)))))) in n 9.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3))))) in n 9.680 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) in n 9.680 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 n)) (pow n 2)) in n 9.680 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 9.680 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.680 * [taylor]: Taking taylor expansion of -1 in n 9.680 * [backup-simplify]: Simplify -1 into -1 9.680 * [taylor]: Taking taylor expansion of n in n 9.680 * [backup-simplify]: Simplify 0 into 0 9.680 * [backup-simplify]: Simplify 1 into 1 9.681 * [backup-simplify]: Simplify (/ -1 1) into -1 9.681 * [backup-simplify]: Simplify (sqrt 0) into 0 9.682 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.682 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.682 * [taylor]: Taking taylor expansion of n in n 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 1 into 1 9.682 * [backup-simplify]: Simplify (* 1 1) into 1 9.682 * [backup-simplify]: Simplify (* 0 1) into 0 9.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.684 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 1)) into (- +nan.0) 9.684 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 9.684 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3)))) in n 9.684 * [taylor]: Taking taylor expansion of 1/8 in n 9.684 * [backup-simplify]: Simplify 1/8 into 1/8 9.684 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3))) in n 9.684 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) 3) (pow n 3)) in n 9.684 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 3) in n 9.684 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 9.684 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.684 * [taylor]: Taking taylor expansion of -1 in n 9.684 * [backup-simplify]: Simplify -1 into -1 9.684 * [taylor]: Taking taylor expansion of n in n 9.685 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify 1 into 1 9.685 * [backup-simplify]: Simplify (/ -1 1) into -1 9.685 * [backup-simplify]: Simplify (sqrt 0) into 0 9.686 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.686 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.686 * [taylor]: Taking taylor expansion of n in n 9.686 * [backup-simplify]: Simplify 0 into 0 9.686 * [backup-simplify]: Simplify 1 into 1 9.686 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 9.686 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 9.687 * [backup-simplify]: Simplify (* 1 1) into 1 9.687 * [backup-simplify]: Simplify (* 1 1) into 1 9.687 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.688 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.694 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 1)))) into (- +nan.0) 9.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 1))) into (- +nan.0) 9.711 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.716 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 9.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.724 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.725 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 9.727 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.735 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 9.738 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 9.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.745 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.748 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 9.753 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 9.759 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) 1)))) into (- +nan.0) 9.762 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* (- +nan.0) 1)) into (- +nan.0) 9.765 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 9.767 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) 1))) into (- +nan.0) 9.770 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 9.773 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 9.775 * [backup-simplify]: Simplify (+ (* 1/8 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0)))) into (- +nan.0) 9.776 * [backup-simplify]: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) 9.776 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 9.777 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.778 * [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)))))) 9.778 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (sqrt (- (/ 1 f) (/ 1 n)))) into (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) 9.778 * [approximate]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in (f n) around 0 9.778 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in n 9.778 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.778 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.778 * [taylor]: Taking taylor expansion of f in n 9.778 * [backup-simplify]: Simplify f into f 9.778 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.778 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.778 * [taylor]: Taking taylor expansion of n in n 9.778 * [backup-simplify]: Simplify 0 into 0 9.778 * [backup-simplify]: Simplify 1 into 1 9.778 * [backup-simplify]: Simplify (/ 1 1) into 1 9.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in n 9.778 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 9.778 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.779 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.779 * [taylor]: Taking taylor expansion of f in n 9.779 * [backup-simplify]: Simplify f into f 9.779 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.779 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.779 * [taylor]: Taking taylor expansion of n in n 9.779 * [backup-simplify]: Simplify 0 into 0 9.779 * [backup-simplify]: Simplify 1 into 1 9.779 * [backup-simplify]: Simplify (/ 1 1) into 1 9.779 * [backup-simplify]: Simplify (- 1) into -1 9.779 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.780 * [backup-simplify]: Simplify (/ 1 -1) into -1 9.780 * [backup-simplify]: Simplify (sqrt 0) into 0 9.781 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.781 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 9.781 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.781 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.781 * [taylor]: Taking taylor expansion of f in f 9.781 * [backup-simplify]: Simplify 0 into 0 9.781 * [backup-simplify]: Simplify 1 into 1 9.781 * [backup-simplify]: Simplify (/ 1 1) into 1 9.781 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.781 * [taylor]: Taking taylor expansion of n in f 9.781 * [backup-simplify]: Simplify n into n 9.781 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.781 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 9.781 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 9.781 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.781 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.781 * [taylor]: Taking taylor expansion of f in f 9.781 * [backup-simplify]: Simplify 0 into 0 9.781 * [backup-simplify]: Simplify 1 into 1 9.782 * [backup-simplify]: Simplify (/ 1 1) into 1 9.782 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.782 * [taylor]: Taking taylor expansion of n in f 9.782 * [backup-simplify]: Simplify n into n 9.782 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.782 * [backup-simplify]: Simplify (+ 1 0) into 1 9.782 * [backup-simplify]: Simplify (/ 1 1) into 1 9.783 * [backup-simplify]: Simplify (sqrt 0) into 0 9.783 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.783 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 9.783 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.783 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.783 * [taylor]: Taking taylor expansion of f in f 9.783 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [backup-simplify]: Simplify (/ 1 1) into 1 9.784 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.784 * [taylor]: Taking taylor expansion of n in f 9.784 * [backup-simplify]: Simplify n into n 9.784 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 9.784 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 9.784 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.784 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.784 * [taylor]: Taking taylor expansion of f in f 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [backup-simplify]: Simplify (/ 1 1) into 1 9.784 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.784 * [taylor]: Taking taylor expansion of n in f 9.784 * [backup-simplify]: Simplify n into n 9.784 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.785 * [backup-simplify]: Simplify (+ 1 0) into 1 9.785 * [backup-simplify]: Simplify (/ 1 1) into 1 9.785 * [backup-simplify]: Simplify (sqrt 0) into 0 9.786 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.786 * [backup-simplify]: Simplify (+ 1 0) into 1 9.786 * [backup-simplify]: Simplify (* 1 0) into 0 9.786 * [taylor]: Taking taylor expansion of 0 in n 9.786 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.787 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.787 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (/ 1 n) 0)) into (- +nan.0) 9.787 * [taylor]: Taking taylor expansion of (- +nan.0) in n 9.787 * [taylor]: Taking taylor expansion of +nan.0 in n 9.787 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.787 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.788 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.788 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 9.789 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 9.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.790 * [backup-simplify]: Simplify (+ 0 0) into 0 9.790 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* (/ 1 n) +nan.0) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 9.790 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 9.790 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 9.790 * [taylor]: Taking taylor expansion of +nan.0 in n 9.790 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.790 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 9.790 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 9.790 * [taylor]: Taking taylor expansion of +nan.0 in n 9.790 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.790 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.790 * [taylor]: Taking taylor expansion of n in n 9.790 * [backup-simplify]: Simplify 0 into 0 9.790 * [backup-simplify]: Simplify 1 into 1 9.791 * [backup-simplify]: Simplify (/ 1 1) into 1 9.791 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.791 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.792 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 9.792 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 9.792 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.793 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.793 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.793 * [backup-simplify]: Simplify 0 into 0 9.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.794 * [backup-simplify]: Simplify (- 0) into 0 9.794 * [backup-simplify]: Simplify (+ 0 0) into 0 9.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 9.795 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2)) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (/ 1 (pow n 2)) (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) 9.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.796 * [backup-simplify]: Simplify (+ 0 0) into 0 10.186 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (- (/ 1 (pow n 2)) (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) (+ (* (/ 1 n) (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 10.186 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 10.186 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 10.187 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 10.187 * [taylor]: Taking taylor expansion of +nan.0 in n 10.187 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.187 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.187 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.187 * [taylor]: Taking taylor expansion of n in n 10.187 * [backup-simplify]: Simplify 0 into 0 10.187 * [backup-simplify]: Simplify 1 into 1 10.187 * [backup-simplify]: Simplify (* 1 1) into 1 10.188 * [backup-simplify]: Simplify (/ 1 1) into 1 10.188 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 10.188 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 10.188 * [taylor]: Taking taylor expansion of +nan.0 in n 10.188 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.188 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 10.188 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.188 * [taylor]: Taking taylor expansion of +nan.0 in n 10.188 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.188 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.188 * [taylor]: Taking taylor expansion of n in n 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 1 into 1 10.188 * [backup-simplify]: Simplify (/ 1 1) into 1 10.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.191 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 10.191 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 10.192 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.192 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.193 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.194 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.195 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.195 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.197 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 n)) (pow (/ 1 f) 2))) (+ (- +nan.0) (* (- +nan.0) (* (/ 1 (/ 1 n)) (/ 1 f))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 10.197 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (sqrt (- (/ 1 (- f)) (/ 1 (- n))))) into (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) 10.197 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in (f n) around 0 10.197 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in n 10.198 * [taylor]: Taking taylor expansion of -1 in n 10.198 * [backup-simplify]: Simplify -1 into -1 10.198 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in n 10.198 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.198 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.198 * [taylor]: Taking taylor expansion of f in n 10.198 * [backup-simplify]: Simplify f into f 10.198 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.198 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.198 * [taylor]: Taking taylor expansion of n in n 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify 1 into 1 10.198 * [backup-simplify]: Simplify (/ 1 1) into 1 10.198 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in n 10.198 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 10.198 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.198 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.198 * [taylor]: Taking taylor expansion of n in n 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify 1 into 1 10.199 * [backup-simplify]: Simplify (/ 1 1) into 1 10.199 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.199 * [taylor]: Taking taylor expansion of f in n 10.199 * [backup-simplify]: Simplify f into f 10.199 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.199 * [backup-simplify]: Simplify (+ 1 0) into 1 10.200 * [backup-simplify]: Simplify (/ 1 1) into 1 10.200 * [backup-simplify]: Simplify (sqrt 0) into 0 10.202 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.202 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in f 10.202 * [taylor]: Taking taylor expansion of -1 in f 10.202 * [backup-simplify]: Simplify -1 into -1 10.202 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 10.202 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.202 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.202 * [taylor]: Taking taylor expansion of f in f 10.202 * [backup-simplify]: Simplify 0 into 0 10.202 * [backup-simplify]: Simplify 1 into 1 10.202 * [backup-simplify]: Simplify (/ 1 1) into 1 10.202 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.202 * [taylor]: Taking taylor expansion of n in f 10.202 * [backup-simplify]: Simplify n into n 10.202 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 10.202 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 10.202 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.202 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.202 * [taylor]: Taking taylor expansion of n in f 10.202 * [backup-simplify]: Simplify n into n 10.203 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.203 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.203 * [taylor]: Taking taylor expansion of f in f 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 10.203 * [backup-simplify]: Simplify (- 1) into -1 10.204 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.204 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.205 * [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 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in f 10.206 * [taylor]: Taking taylor expansion of -1 in f 10.206 * [backup-simplify]: Simplify -1 into -1 10.206 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 10.206 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.206 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.206 * [taylor]: Taking taylor expansion of f in f 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify 1 into 1 10.207 * [backup-simplify]: Simplify (/ 1 1) into 1 10.207 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.207 * [taylor]: Taking taylor expansion of n in f 10.207 * [backup-simplify]: Simplify n into n 10.207 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 10.207 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 10.207 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.207 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.207 * [taylor]: Taking taylor expansion of n in f 10.207 * [backup-simplify]: Simplify n into n 10.207 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.207 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.207 * [taylor]: Taking taylor expansion of f in f 10.207 * [backup-simplify]: Simplify 0 into 0 10.207 * [backup-simplify]: Simplify 1 into 1 10.208 * [backup-simplify]: Simplify (/ 1 1) into 1 10.208 * [backup-simplify]: Simplify (- 1) into -1 10.208 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.209 * [backup-simplify]: Simplify (/ 1 -1) 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 * [backup-simplify]: Simplify (+ 1 0) into 1 10.212 * [backup-simplify]: Simplify (* 1 0) into 0 10.212 * [backup-simplify]: Simplify (* -1 0) into 0 10.212 * [taylor]: Taking taylor expansion of 0 in n 10.212 * [backup-simplify]: Simplify 0 into 0 10.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.213 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.213 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (/ 1 n) 0)) into (- +nan.0) 10.215 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0) 10.215 * [taylor]: Taking taylor expansion of (- +nan.0) in n 10.216 * [taylor]: Taking taylor expansion of +nan.0 in n 10.216 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.216 * [backup-simplify]: Simplify 0 into 0 10.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.217 * [backup-simplify]: Simplify (- 0) into 0 10.217 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.217 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 10.218 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 10.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.220 * [backup-simplify]: Simplify (+ 0 0) into 0 10.220 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ +nan.0 (/ 1 n)))) (+ (* (/ 1 n) +nan.0) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 10.221 * [backup-simplify]: Simplify (+ (* -1 (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 10.221 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 10.221 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 10.221 * [taylor]: Taking taylor expansion of +nan.0 in n 10.222 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.222 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 10.222 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.222 * [taylor]: Taking taylor expansion of +nan.0 in n 10.222 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.222 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.222 * [taylor]: Taking taylor expansion of n in n 10.222 * [backup-simplify]: Simplify 0 into 0 10.222 * [backup-simplify]: Simplify 1 into 1 10.222 * [backup-simplify]: Simplify (/ 1 1) into 1 10.223 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 10.223 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.224 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.225 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.225 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.226 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.226 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.226 * [backup-simplify]: Simplify 0 into 0 10.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.228 * [backup-simplify]: Simplify (- 0) into 0 10.228 * [backup-simplify]: Simplify (+ 0 0) into 0 10.229 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 10.230 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow n 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 10.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.232 * [backup-simplify]: Simplify (+ 0 0) into 0 10.234 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))) (+ (* (/ 1 n) (* +nan.0 (+ +nan.0 (/ 1 n)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 10.236 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))) (+ (* 0 (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 10.236 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 10.236 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 10.236 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 10.236 * [taylor]: Taking taylor expansion of +nan.0 in n 10.236 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.236 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.236 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.236 * [taylor]: Taking taylor expansion of n in n 10.236 * [backup-simplify]: Simplify 0 into 0 10.236 * [backup-simplify]: Simplify 1 into 1 10.237 * [backup-simplify]: Simplify (* 1 1) into 1 10.237 * [backup-simplify]: Simplify (/ 1 1) into 1 10.237 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 10.237 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 10.237 * [taylor]: Taking taylor expansion of +nan.0 in n 10.237 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.237 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 10.237 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.237 * [taylor]: Taking taylor expansion of +nan.0 in n 10.237 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.237 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.237 * [taylor]: Taking taylor expansion of n in n 10.237 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify 1 into 1 10.238 * [backup-simplify]: Simplify (/ 1 1) into 1 10.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.240 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 10.241 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 10.241 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.242 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.243 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.244 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.245 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.245 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.247 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ (- +nan.0) (* (- +nan.0) (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 10.247 * * * * [progress]: [ 2 / 4 ] generating series at (2) 10.247 * [backup-simplify]: Simplify (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) into (* -1 (/ (+ n f) (- f n))) 10.247 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 10.247 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 10.247 * [taylor]: Taking taylor expansion of -1 in n 10.247 * [backup-simplify]: Simplify -1 into -1 10.247 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 10.247 * [taylor]: Taking taylor expansion of (+ n f) in n 10.247 * [taylor]: Taking taylor expansion of n in n 10.247 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify 1 into 1 10.248 * [taylor]: Taking taylor expansion of f in n 10.248 * [backup-simplify]: Simplify f into f 10.248 * [taylor]: Taking taylor expansion of (- f n) in n 10.248 * [taylor]: Taking taylor expansion of f in n 10.248 * [backup-simplify]: Simplify f into f 10.248 * [taylor]: Taking taylor expansion of n in n 10.248 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify 1 into 1 10.248 * [backup-simplify]: Simplify (+ 0 f) into f 10.248 * [backup-simplify]: Simplify (- 0) into 0 10.248 * [backup-simplify]: Simplify (+ f 0) into f 10.248 * [backup-simplify]: Simplify (/ f f) into 1 10.248 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 10.248 * [taylor]: Taking taylor expansion of -1 in f 10.249 * [backup-simplify]: Simplify -1 into -1 10.249 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 10.249 * [taylor]: Taking taylor expansion of (+ n f) in f 10.249 * [taylor]: Taking taylor expansion of n in f 10.249 * [backup-simplify]: Simplify n into n 10.249 * [taylor]: Taking taylor expansion of f in f 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 1 into 1 10.249 * [taylor]: Taking taylor expansion of (- f n) in f 10.249 * [taylor]: Taking taylor expansion of f in f 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 1 into 1 10.249 * [taylor]: Taking taylor expansion of n in f 10.249 * [backup-simplify]: Simplify n into n 10.249 * [backup-simplify]: Simplify (+ n 0) into n 10.249 * [backup-simplify]: Simplify (- n) into (- n) 10.249 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.249 * [backup-simplify]: Simplify (/ n (- n)) into -1 10.249 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 10.249 * [taylor]: Taking taylor expansion of -1 in f 10.249 * [backup-simplify]: Simplify -1 into -1 10.249 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 10.249 * [taylor]: Taking taylor expansion of (+ n f) in f 10.249 * [taylor]: Taking taylor expansion of n in f 10.249 * [backup-simplify]: Simplify n into n 10.249 * [taylor]: Taking taylor expansion of f in f 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 1 into 1 10.249 * [taylor]: Taking taylor expansion of (- f n) in f 10.249 * [taylor]: Taking taylor expansion of f in f 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 1 into 1 10.249 * [taylor]: Taking taylor expansion of n in f 10.249 * [backup-simplify]: Simplify n into n 10.249 * [backup-simplify]: Simplify (+ n 0) into n 10.249 * [backup-simplify]: Simplify (- n) into (- n) 10.250 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.250 * [backup-simplify]: Simplify (/ n (- n)) into -1 10.251 * [backup-simplify]: Simplify (* -1 -1) into 1 10.251 * [taylor]: Taking taylor expansion of 1 in n 10.251 * [backup-simplify]: Simplify 1 into 1 10.251 * [backup-simplify]: Simplify 1 into 1 10.251 * [backup-simplify]: Simplify (+ 0 1) into 1 10.252 * [backup-simplify]: Simplify (- 0) into 0 10.252 * [backup-simplify]: Simplify (+ 1 0) into 1 10.253 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 10.253 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 10.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 10.253 * [taylor]: Taking taylor expansion of 2 in n 10.253 * [backup-simplify]: Simplify 2 into 2 10.253 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.253 * [taylor]: Taking taylor expansion of n in n 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify 1 into 1 10.254 * [backup-simplify]: Simplify (/ 1 1) into 1 10.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.256 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.256 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify (+ 0 0) into 0 10.256 * [backup-simplify]: Simplify (- 0) into 0 10.257 * [backup-simplify]: Simplify (+ 0 0) into 0 10.257 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 10.258 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 10.258 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 10.258 * [taylor]: Taking taylor expansion of 2 in n 10.258 * [backup-simplify]: Simplify 2 into 2 10.258 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.258 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.258 * [taylor]: Taking taylor expansion of n in n 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify 1 into 1 10.259 * [backup-simplify]: Simplify (* 1 1) into 1 10.259 * [backup-simplify]: Simplify (/ 1 1) into 1 10.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.263 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.263 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.265 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.265 * [backup-simplify]: Simplify 0 into 0 10.265 * [backup-simplify]: Simplify 0 into 0 10.266 * [backup-simplify]: Simplify (+ 0 0) into 0 10.266 * [backup-simplify]: Simplify (- 0) into 0 10.266 * [backup-simplify]: Simplify (+ 0 0) into 0 10.267 * [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)))) 10.268 * [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))) 10.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 10.268 * [taylor]: Taking taylor expansion of 2 in n 10.268 * [backup-simplify]: Simplify 2 into 2 10.268 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.268 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.268 * [taylor]: Taking taylor expansion of n in n 10.268 * [backup-simplify]: Simplify 0 into 0 10.268 * [backup-simplify]: Simplify 1 into 1 10.269 * [backup-simplify]: Simplify (* 1 1) into 1 10.269 * [backup-simplify]: Simplify (* 1 1) into 1 10.269 * [backup-simplify]: Simplify (/ 1 1) into 1 10.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify 1 into 1 10.279 * [backup-simplify]: Simplify (* (/ -1 (sqrt (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 f) (/ 1 n)) (sqrt (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 10.279 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 10.279 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 10.279 * [taylor]: Taking taylor expansion of -1 in n 10.279 * [backup-simplify]: Simplify -1 into -1 10.279 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 10.279 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.279 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.279 * [taylor]: Taking taylor expansion of f in n 10.279 * [backup-simplify]: Simplify f into f 10.280 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.280 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.280 * [taylor]: Taking taylor expansion of n in n 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 1 into 1 10.280 * [backup-simplify]: Simplify (/ 1 1) into 1 10.280 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 10.280 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.280 * [taylor]: Taking taylor expansion of f in n 10.280 * [backup-simplify]: Simplify f into f 10.280 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.280 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.280 * [taylor]: Taking taylor expansion of n in n 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 1 into 1 10.281 * [backup-simplify]: Simplify (/ 1 1) into 1 10.281 * [backup-simplify]: Simplify (+ 0 1) into 1 10.282 * [backup-simplify]: Simplify (- 1) into -1 10.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.282 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.282 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 10.283 * [taylor]: Taking taylor expansion of -1 in f 10.283 * [backup-simplify]: Simplify -1 into -1 10.283 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 10.283 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.283 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.283 * [taylor]: Taking taylor expansion of f in f 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 1 into 1 10.283 * [backup-simplify]: Simplify (/ 1 1) into 1 10.283 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.283 * [taylor]: Taking taylor expansion of n in f 10.283 * [backup-simplify]: Simplify n into n 10.283 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.283 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.283 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.283 * [taylor]: Taking taylor expansion of f in f 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 1 into 1 10.284 * [backup-simplify]: Simplify (/ 1 1) into 1 10.284 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.284 * [taylor]: Taking taylor expansion of n in f 10.284 * [backup-simplify]: Simplify n into n 10.284 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.284 * [backup-simplify]: Simplify (+ 1 0) into 1 10.285 * [backup-simplify]: Simplify (+ 1 0) into 1 10.285 * [backup-simplify]: Simplify (/ 1 1) into 1 10.285 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 10.285 * [taylor]: Taking taylor expansion of -1 in f 10.285 * [backup-simplify]: Simplify -1 into -1 10.285 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 10.285 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.285 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.285 * [taylor]: Taking taylor expansion of f in f 10.285 * [backup-simplify]: Simplify 0 into 0 10.285 * [backup-simplify]: Simplify 1 into 1 10.286 * [backup-simplify]: Simplify (/ 1 1) into 1 10.286 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.286 * [taylor]: Taking taylor expansion of n in f 10.286 * [backup-simplify]: Simplify n into n 10.286 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.286 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.286 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.286 * [taylor]: Taking taylor expansion of f in f 10.286 * [backup-simplify]: Simplify 0 into 0 10.286 * [backup-simplify]: Simplify 1 into 1 10.287 * [backup-simplify]: Simplify (/ 1 1) into 1 10.287 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.287 * [taylor]: Taking taylor expansion of n in f 10.287 * [backup-simplify]: Simplify n into n 10.287 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.287 * [backup-simplify]: Simplify (+ 1 0) into 1 10.288 * [backup-simplify]: Simplify (+ 1 0) into 1 10.288 * [backup-simplify]: Simplify (/ 1 1) into 1 10.289 * [backup-simplify]: Simplify (* -1 1) into -1 10.289 * [taylor]: Taking taylor expansion of -1 in n 10.289 * [backup-simplify]: Simplify -1 into -1 10.289 * [backup-simplify]: Simplify -1 into -1 10.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.290 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.291 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.291 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 10.291 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 10.291 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 10.291 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 10.291 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 10.292 * [taylor]: Taking taylor expansion of 2 in n 10.292 * [backup-simplify]: Simplify 2 into 2 10.292 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.292 * [taylor]: Taking taylor expansion of n in n 10.292 * [backup-simplify]: Simplify 0 into 0 10.292 * [backup-simplify]: Simplify 1 into 1 10.292 * [backup-simplify]: Simplify (/ 1 1) into 1 10.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.294 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.294 * [backup-simplify]: Simplify (- 0) into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.295 * [backup-simplify]: Simplify (+ 0 0) into 0 10.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.297 * [backup-simplify]: Simplify (- 0) into 0 10.297 * [backup-simplify]: Simplify (+ 0 0) into 0 10.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 10.299 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 10.299 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 10.300 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 10.300 * [taylor]: Taking taylor expansion of 2 in n 10.300 * [backup-simplify]: Simplify 2 into 2 10.300 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.300 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.300 * [taylor]: Taking taylor expansion of n in n 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify 1 into 1 10.300 * [backup-simplify]: Simplify (* 1 1) into 1 10.300 * [backup-simplify]: Simplify (/ 1 1) into 1 10.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.305 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.305 * [backup-simplify]: Simplify (- 0) into 0 10.305 * [backup-simplify]: Simplify 0 into 0 10.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.308 * [backup-simplify]: Simplify (- 0) into 0 10.308 * [backup-simplify]: Simplify 0 into 0 10.308 * [backup-simplify]: Simplify 0 into 0 10.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.309 * [backup-simplify]: Simplify (+ 0 0) into 0 10.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.311 * [backup-simplify]: Simplify (- 0) into 0 10.311 * [backup-simplify]: Simplify (+ 0 0) into 0 10.313 * [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))) 10.314 * [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)))) 10.314 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 10.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 10.314 * [taylor]: Taking taylor expansion of 2 in n 10.314 * [backup-simplify]: Simplify 2 into 2 10.314 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.314 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.314 * [taylor]: Taking taylor expansion of n in n 10.314 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify 1 into 1 10.315 * [backup-simplify]: Simplify (* 1 1) into 1 10.315 * [backup-simplify]: Simplify (* 1 1) into 1 10.316 * [backup-simplify]: Simplify (/ 1 1) into 1 10.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.325 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.325 * [backup-simplify]: Simplify (- 0) into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify -1 into -1 10.326 * [backup-simplify]: Simplify (* (/ -1 (sqrt (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- f)) (/ 1 (- n))) (sqrt (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 10.326 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 10.326 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 10.326 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 10.326 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.326 * [taylor]: Taking taylor expansion of f in n 10.326 * [backup-simplify]: Simplify f into f 10.326 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.326 * [taylor]: Taking taylor expansion of n in n 10.326 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify 1 into 1 10.327 * [backup-simplify]: Simplify (/ 1 1) into 1 10.327 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.327 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.327 * [taylor]: Taking taylor expansion of n in n 10.327 * [backup-simplify]: Simplify 0 into 0 10.327 * [backup-simplify]: Simplify 1 into 1 10.327 * [backup-simplify]: Simplify (/ 1 1) into 1 10.327 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.327 * [taylor]: Taking taylor expansion of f in n 10.327 * [backup-simplify]: Simplify f into f 10.327 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.328 * [backup-simplify]: Simplify (+ 0 1) into 1 10.328 * [backup-simplify]: Simplify (+ 1 0) into 1 10.329 * [backup-simplify]: Simplify (/ 1 1) into 1 10.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.329 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.329 * [taylor]: Taking taylor expansion of f in f 10.329 * [backup-simplify]: Simplify 0 into 0 10.329 * [backup-simplify]: Simplify 1 into 1 10.329 * [backup-simplify]: Simplify (/ 1 1) into 1 10.329 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.329 * [taylor]: Taking taylor expansion of n in f 10.329 * [backup-simplify]: Simplify n into n 10.329 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.329 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.329 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.329 * [taylor]: Taking taylor expansion of n in f 10.330 * [backup-simplify]: Simplify n into n 10.330 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.330 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.330 * [taylor]: Taking taylor expansion of f in f 10.330 * [backup-simplify]: Simplify 0 into 0 10.330 * [backup-simplify]: Simplify 1 into 1 10.330 * [backup-simplify]: Simplify (/ 1 1) into 1 10.331 * [backup-simplify]: Simplify (+ 1 0) into 1 10.331 * [backup-simplify]: Simplify (- 1) into -1 10.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.332 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 10.332 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 10.332 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.332 * [taylor]: Taking taylor expansion of f in f 10.332 * [backup-simplify]: Simplify 0 into 0 10.332 * [backup-simplify]: Simplify 1 into 1 10.333 * [backup-simplify]: Simplify (/ 1 1) into 1 10.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.333 * [taylor]: Taking taylor expansion of n in f 10.333 * [backup-simplify]: Simplify n into n 10.333 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.333 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.333 * [taylor]: Taking taylor expansion of n in f 10.333 * [backup-simplify]: Simplify n into n 10.333 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.333 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.333 * [taylor]: Taking taylor expansion of f in f 10.333 * [backup-simplify]: Simplify 0 into 0 10.333 * [backup-simplify]: Simplify 1 into 1 10.333 * [backup-simplify]: Simplify (/ 1 1) into 1 10.334 * [backup-simplify]: Simplify (+ 1 0) into 1 10.334 * [backup-simplify]: Simplify (- 1) into -1 10.335 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.335 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.335 * [taylor]: Taking taylor expansion of -1 in n 10.335 * [backup-simplify]: Simplify -1 into -1 10.335 * [backup-simplify]: Simplify -1 into -1 10.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.336 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.337 * [backup-simplify]: Simplify (- 0) into 0 10.337 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.337 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 10.337 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 10.337 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 10.337 * [taylor]: Taking taylor expansion of 2 in n 10.337 * [backup-simplify]: Simplify 2 into 2 10.337 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.337 * [taylor]: Taking taylor expansion of n in n 10.337 * [backup-simplify]: Simplify 0 into 0 10.337 * [backup-simplify]: Simplify 1 into 1 10.341 * [backup-simplify]: Simplify (/ 1 1) into 1 10.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.342 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 10.342 * [backup-simplify]: Simplify (- 0) into 0 10.343 * [backup-simplify]: Simplify 0 into 0 10.343 * [backup-simplify]: Simplify 0 into 0 10.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.343 * [backup-simplify]: Simplify (+ 0 0) into 0 10.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.344 * [backup-simplify]: Simplify (- 0) into 0 10.345 * [backup-simplify]: Simplify (+ 0 0) into 0 10.345 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 10.345 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 10.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 10.345 * [taylor]: Taking taylor expansion of 2 in n 10.345 * [backup-simplify]: Simplify 2 into 2 10.345 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.345 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.345 * [taylor]: Taking taylor expansion of n in n 10.345 * [backup-simplify]: Simplify 0 into 0 10.345 * [backup-simplify]: Simplify 1 into 1 10.346 * [backup-simplify]: Simplify (* 1 1) into 1 10.346 * [backup-simplify]: Simplify (/ 1 1) into 1 10.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.349 * [backup-simplify]: Simplify (- 0) into 0 10.349 * [backup-simplify]: Simplify 0 into 0 10.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.350 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 10.350 * [backup-simplify]: Simplify (- 0) into 0 10.350 * [backup-simplify]: Simplify 0 into 0 10.350 * [backup-simplify]: Simplify 0 into 0 10.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.351 * [backup-simplify]: Simplify (+ 0 0) into 0 10.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.352 * [backup-simplify]: Simplify (- 0) into 0 10.352 * [backup-simplify]: Simplify (+ 0 0) into 0 10.353 * [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)))) 10.353 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 10.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 10.353 * [taylor]: Taking taylor expansion of 2 in n 10.354 * [backup-simplify]: Simplify 2 into 2 10.354 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 10.354 * [taylor]: Taking taylor expansion of (pow n 3) in n 10.354 * [taylor]: Taking taylor expansion of n in n 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify 1 into 1 10.354 * [backup-simplify]: Simplify (* 1 1) into 1 10.354 * [backup-simplify]: Simplify (* 1 1) into 1 10.354 * [backup-simplify]: Simplify (/ 1 1) into 1 10.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.360 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.360 * [backup-simplify]: Simplify (- 0) into 0 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify -1 into -1 10.360 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 10.360 * [backup-simplify]: Simplify (/ -1 (sqrt (- f n))) into (* -1 (sqrt (/ 1 (- f n)))) 10.360 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in (f n) around 0 10.360 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in n 10.360 * [taylor]: Taking taylor expansion of -1 in n 10.360 * [backup-simplify]: Simplify -1 into -1 10.360 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in n 10.360 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 10.360 * [taylor]: Taking taylor expansion of (- f n) in n 10.360 * [taylor]: Taking taylor expansion of f in n 10.360 * [backup-simplify]: Simplify f into f 10.360 * [taylor]: Taking taylor expansion of n in n 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify 1 into 1 10.361 * [backup-simplify]: Simplify (- 0) into 0 10.361 * [backup-simplify]: Simplify (+ f 0) into f 10.361 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.361 * [backup-simplify]: Simplify (sqrt (/ 1 f)) into (sqrt (/ 1 f)) 10.361 * [backup-simplify]: Simplify (- 1) into -1 10.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ -1 f)))) into (/ 1 (pow f 2)) 10.362 * [backup-simplify]: Simplify (/ (/ 1 (pow f 2)) (* 2 (sqrt (/ 1 f)))) into (* 1/2 (sqrt (/ 1 (pow f 3)))) 10.362 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in f 10.362 * [taylor]: Taking taylor expansion of -1 in f 10.362 * [backup-simplify]: Simplify -1 into -1 10.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 10.362 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 10.362 * [taylor]: Taking taylor expansion of (- f n) in f 10.362 * [taylor]: Taking taylor expansion of f in f 10.362 * [backup-simplify]: Simplify 0 into 0 10.362 * [backup-simplify]: Simplify 1 into 1 10.362 * [taylor]: Taking taylor expansion of n in f 10.362 * [backup-simplify]: Simplify n into n 10.362 * [backup-simplify]: Simplify (- n) into (- n) 10.362 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.362 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 10.362 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 10.362 * [backup-simplify]: Simplify (- 0) into 0 10.362 * [backup-simplify]: Simplify (+ 1 0) into 1 10.363 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 10.363 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 10.363 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- f n)))) in f 10.363 * [taylor]: Taking taylor expansion of -1 in f 10.363 * [backup-simplify]: Simplify -1 into -1 10.363 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 10.363 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 10.363 * [taylor]: Taking taylor expansion of (- f n) in f 10.363 * [taylor]: Taking taylor expansion of f in f 10.363 * [backup-simplify]: Simplify 0 into 0 10.363 * [backup-simplify]: Simplify 1 into 1 10.363 * [taylor]: Taking taylor expansion of n in f 10.363 * [backup-simplify]: Simplify n into n 10.363 * [backup-simplify]: Simplify (- n) into (- n) 10.363 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.363 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 10.363 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 10.363 * [backup-simplify]: Simplify (- 0) into 0 10.364 * [backup-simplify]: Simplify (+ 1 0) into 1 10.364 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 10.364 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 10.364 * [backup-simplify]: Simplify (* -1 (sqrt (/ -1 n))) into (* -1 (sqrt (/ -1 n))) 10.364 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ -1 n))) in n 10.364 * [taylor]: Taking taylor expansion of -1 in n 10.364 * [backup-simplify]: Simplify -1 into -1 10.364 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 10.364 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.364 * [taylor]: Taking taylor expansion of -1 in n 10.364 * [backup-simplify]: Simplify -1 into -1 10.364 * [taylor]: Taking taylor expansion of n in n 10.364 * [backup-simplify]: Simplify 0 into 0 10.364 * [backup-simplify]: Simplify 1 into 1 10.364 * [backup-simplify]: Simplify (/ -1 1) into -1 10.365 * [backup-simplify]: Simplify (sqrt 0) into 0 10.366 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.367 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 10.367 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.367 * [backup-simplify]: Simplify (+ (* -1 (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2)))) (* 0 (sqrt (/ -1 n)))) into (* 1/2 (/ 1 (* (sqrt (/ -1 n)) (pow n 2)))) 10.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt (/ -1 n)) (pow n 2)))) in n 10.367 * [taylor]: Taking taylor expansion of 1/2 in n 10.367 * [backup-simplify]: Simplify 1/2 into 1/2 10.367 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) in n 10.367 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 n)) (pow n 2)) in n 10.367 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 10.367 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.367 * [taylor]: Taking taylor expansion of -1 in n 10.367 * [backup-simplify]: Simplify -1 into -1 10.367 * [taylor]: Taking taylor expansion of n in n 10.367 * [backup-simplify]: Simplify 0 into 0 10.367 * [backup-simplify]: Simplify 1 into 1 10.368 * [backup-simplify]: Simplify (/ -1 1) into -1 10.368 * [backup-simplify]: Simplify (sqrt 0) into 0 10.369 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.369 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.369 * [taylor]: Taking taylor expansion of n in n 10.369 * [backup-simplify]: Simplify 0 into 0 10.369 * [backup-simplify]: Simplify 1 into 1 10.369 * [backup-simplify]: Simplify (* 1 1) into 1 10.369 * [backup-simplify]: Simplify (* 0 1) into 0 10.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.371 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 1)) into (- +nan.0) 10.371 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 10.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.376 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 1)))) into (- +nan.0) 10.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 1))) into (- +nan.0) 10.393 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.399 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.401 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0))) into (- +nan.0) 10.402 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.406 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.408 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 10.408 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.410 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 10.410 * [backup-simplify]: Simplify (/ -1 (sqrt (- (/ 1 f) (/ 1 n)))) into (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) 10.410 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in (f n) around 0 10.410 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in n 10.410 * [taylor]: Taking taylor expansion of -1 in n 10.410 * [backup-simplify]: Simplify -1 into -1 10.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in n 10.410 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 10.410 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 10.410 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.410 * [taylor]: Taking taylor expansion of f in n 10.410 * [backup-simplify]: Simplify f into f 10.410 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.410 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.410 * [taylor]: Taking taylor expansion of n in n 10.410 * [backup-simplify]: Simplify 0 into 0 10.410 * [backup-simplify]: Simplify 1 into 1 10.411 * [backup-simplify]: Simplify (/ 1 1) into 1 10.411 * [backup-simplify]: Simplify (- 1) into -1 10.411 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.412 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.412 * [backup-simplify]: Simplify (sqrt 0) into 0 10.414 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.414 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 10.414 * [taylor]: Taking taylor expansion of -1 in f 10.414 * [backup-simplify]: Simplify -1 into -1 10.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 10.414 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 10.414 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.414 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.414 * [taylor]: Taking taylor expansion of f in f 10.414 * [backup-simplify]: Simplify 0 into 0 10.414 * [backup-simplify]: Simplify 1 into 1 10.414 * [backup-simplify]: Simplify (/ 1 1) into 1 10.414 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.414 * [taylor]: Taking taylor expansion of n in f 10.414 * [backup-simplify]: Simplify n into n 10.414 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.415 * [backup-simplify]: Simplify (+ 1 0) into 1 10.415 * [backup-simplify]: Simplify (/ 1 1) into 1 10.415 * [backup-simplify]: Simplify (sqrt 0) into 0 10.417 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.417 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 10.417 * [taylor]: Taking taylor expansion of -1 in f 10.417 * [backup-simplify]: Simplify -1 into -1 10.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 10.417 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 10.417 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.417 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.417 * [taylor]: Taking taylor expansion of f in f 10.417 * [backup-simplify]: Simplify 0 into 0 10.417 * [backup-simplify]: Simplify 1 into 1 10.417 * [backup-simplify]: Simplify (/ 1 1) into 1 10.417 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.417 * [taylor]: Taking taylor expansion of n in f 10.417 * [backup-simplify]: Simplify n into n 10.418 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.418 * [backup-simplify]: Simplify (+ 1 0) into 1 10.418 * [backup-simplify]: Simplify (/ 1 1) into 1 10.419 * [backup-simplify]: Simplify (sqrt 0) into 0 10.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.421 * [backup-simplify]: Simplify (* -1 0) into 0 10.421 * [taylor]: Taking taylor expansion of 0 in n 10.421 * [backup-simplify]: Simplify 0 into 0 10.421 * [backup-simplify]: Simplify 0 into 0 10.422 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 10.422 * [taylor]: Taking taylor expansion of (- +nan.0) in n 10.422 * [taylor]: Taking taylor expansion of +nan.0 in n 10.422 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.423 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.423 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.423 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.424 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.424 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 10.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 10.426 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 10.427 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 10.427 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 10.427 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 10.427 * [taylor]: Taking taylor expansion of +nan.0 in n 10.427 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.427 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 10.427 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.427 * [taylor]: Taking taylor expansion of +nan.0 in n 10.427 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.427 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.427 * [taylor]: Taking taylor expansion of n in n 10.427 * [backup-simplify]: Simplify 0 into 0 10.427 * [backup-simplify]: Simplify 1 into 1 10.427 * [backup-simplify]: Simplify (/ 1 1) into 1 10.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.429 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 10.429 * [backup-simplify]: Simplify (- 0) into 0 10.430 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 10.431 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.431 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.432 * [backup-simplify]: Simplify (- 0) into 0 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify 0 into 0 10.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.433 * [backup-simplify]: Simplify (- 0) into 0 10.434 * [backup-simplify]: Simplify (+ 0 0) into 0 10.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 10.435 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2)) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (/ 1 (pow n 2)) (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) 10.437 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (- (/ 1 (pow n 2)) (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) (+ (* 0 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 10.437 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 10.437 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 10.437 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 10.437 * [taylor]: Taking taylor expansion of +nan.0 in n 10.437 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.437 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.437 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.437 * [taylor]: Taking taylor expansion of n in n 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify 1 into 1 10.437 * [backup-simplify]: Simplify (* 1 1) into 1 10.438 * [backup-simplify]: Simplify (/ 1 1) into 1 10.438 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 10.438 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 10.438 * [taylor]: Taking taylor expansion of +nan.0 in n 10.438 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.438 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 10.438 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.438 * [taylor]: Taking taylor expansion of +nan.0 in n 10.438 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.438 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.438 * [taylor]: Taking taylor expansion of n in n 10.438 * [backup-simplify]: Simplify 0 into 0 10.438 * [backup-simplify]: Simplify 1 into 1 10.438 * [backup-simplify]: Simplify (/ 1 1) into 1 10.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.442 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 10.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.443 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 10.443 * [backup-simplify]: Simplify (- 0) into 0 10.443 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 10.444 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.445 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.445 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.445 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.447 * [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 2))) (- (* +nan.0 (/ 1 (pow f 3)))))))) 10.447 * [backup-simplify]: Simplify (/ -1 (sqrt (- (/ 1 (- f)) (/ 1 (- n))))) into (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) 10.447 * [approximate]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in (f n) around 0 10.447 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in n 10.447 * [taylor]: Taking taylor expansion of -1 in n 10.447 * [backup-simplify]: Simplify -1 into -1 10.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in n 10.447 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 10.447 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.447 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.447 * [taylor]: Taking taylor expansion of n in n 10.447 * [backup-simplify]: Simplify 0 into 0 10.447 * [backup-simplify]: Simplify 1 into 1 10.447 * [backup-simplify]: Simplify (/ 1 1) into 1 10.447 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.447 * [taylor]: Taking taylor expansion of f in n 10.447 * [backup-simplify]: Simplify f into f 10.447 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.448 * [backup-simplify]: Simplify (+ 1 0) into 1 10.448 * [backup-simplify]: Simplify (/ 1 1) into 1 10.448 * [backup-simplify]: Simplify (sqrt 0) into 0 10.449 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.449 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 10.449 * [taylor]: Taking taylor expansion of -1 in f 10.450 * [backup-simplify]: Simplify -1 into -1 10.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 10.450 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 10.450 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.450 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.450 * [taylor]: Taking taylor expansion of n in f 10.450 * [backup-simplify]: Simplify n into n 10.450 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.450 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.450 * [taylor]: Taking taylor expansion of f in f 10.450 * [backup-simplify]: Simplify 0 into 0 10.450 * [backup-simplify]: Simplify 1 into 1 10.450 * [backup-simplify]: Simplify (/ 1 1) into 1 10.450 * [backup-simplify]: Simplify (- 1) into -1 10.451 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.451 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.451 * [backup-simplify]: Simplify (sqrt 0) into 0 10.452 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.452 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 10.452 * [taylor]: Taking taylor expansion of -1 in f 10.452 * [backup-simplify]: Simplify -1 into -1 10.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 10.452 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 10.452 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.452 * [taylor]: Taking taylor expansion of n in f 10.452 * [backup-simplify]: Simplify n into n 10.452 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.452 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.452 * [taylor]: Taking taylor expansion of f in f 10.452 * [backup-simplify]: Simplify 0 into 0 10.452 * [backup-simplify]: Simplify 1 into 1 10.452 * [backup-simplify]: Simplify (/ 1 1) into 1 10.453 * [backup-simplify]: Simplify (- 1) into -1 10.453 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.453 * [backup-simplify]: Simplify (/ 1 -1) into -1 10.453 * [backup-simplify]: Simplify (sqrt 0) into 0 10.454 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.455 * [backup-simplify]: Simplify (* -1 0) into 0 10.455 * [taylor]: Taking taylor expansion of 0 in n 10.455 * [backup-simplify]: Simplify 0 into 0 10.455 * [backup-simplify]: Simplify 0 into 0 10.456 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 10.456 * [taylor]: Taking taylor expansion of (- +nan.0) in n 10.456 * [taylor]: Taking taylor expansion of +nan.0 in n 10.456 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.456 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.456 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.456 * [backup-simplify]: Simplify 0 into 0 10.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.457 * [backup-simplify]: Simplify (- 0) into 0 10.457 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.457 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 10.458 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 10.460 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (+ +nan.0 (/ 1 n)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 10.460 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 10.460 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 10.460 * [taylor]: Taking taylor expansion of +nan.0 in n 10.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.460 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 10.460 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.460 * [taylor]: Taking taylor expansion of +nan.0 in n 10.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.460 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.460 * [taylor]: Taking taylor expansion of n in n 10.460 * [backup-simplify]: Simplify 0 into 0 10.460 * [backup-simplify]: Simplify 1 into 1 10.461 * [backup-simplify]: Simplify (/ 1 1) into 1 10.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.462 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 10.463 * [backup-simplify]: Simplify (- 0) into 0 10.463 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 10.464 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.465 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.465 * [backup-simplify]: Simplify (- 0) into 0 10.465 * [backup-simplify]: Simplify 0 into 0 10.465 * [backup-simplify]: Simplify 0 into 0 10.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.467 * [backup-simplify]: Simplify (- 0) into 0 10.467 * [backup-simplify]: Simplify (+ 0 0) into 0 10.468 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 10.469 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow n 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 10.470 * [backup-simplify]: Simplify (+ (* -1 (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))) (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 n)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 10.470 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 10.470 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 10.470 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 10.470 * [taylor]: Taking taylor expansion of +nan.0 in n 10.470 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.470 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.470 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.470 * [taylor]: Taking taylor expansion of n in n 10.470 * [backup-simplify]: Simplify 0 into 0 10.470 * [backup-simplify]: Simplify 1 into 1 10.471 * [backup-simplify]: Simplify (* 1 1) into 1 10.471 * [backup-simplify]: Simplify (/ 1 1) into 1 10.471 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 10.471 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 10.471 * [taylor]: Taking taylor expansion of +nan.0 in n 10.471 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.471 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 10.471 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.471 * [taylor]: Taking taylor expansion of +nan.0 in n 10.471 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.471 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.471 * [taylor]: Taking taylor expansion of n in n 10.471 * [backup-simplify]: Simplify 0 into 0 10.471 * [backup-simplify]: Simplify 1 into 1 10.472 * [backup-simplify]: Simplify (/ 1 1) into 1 10.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.476 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 10.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.478 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 10.478 * [backup-simplify]: Simplify (- 0) into 0 10.478 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 10.479 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.480 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.481 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 10.481 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.483 * [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 2))) (- (* +nan.0 (/ 1 (pow f 3)))))))) 10.483 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 10.483 * [backup-simplify]: Simplify (sqrt (- f n)) into (sqrt (- f n)) 10.483 * [approximate]: Taking taylor expansion of (sqrt (- f n)) in (f n) around 0 10.483 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in n 10.483 * [taylor]: Taking taylor expansion of (- f n) in n 10.483 * [taylor]: Taking taylor expansion of f in n 10.483 * [backup-simplify]: Simplify f into f 10.483 * [taylor]: Taking taylor expansion of n in n 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify 1 into 1 10.484 * [backup-simplify]: Simplify (- 0) into 0 10.484 * [backup-simplify]: Simplify (+ f 0) into f 10.484 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 10.484 * [backup-simplify]: Simplify (- 1) into -1 10.485 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.485 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt f))) into (* -1/2 (sqrt (/ 1 f))) 10.485 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in f 10.485 * [taylor]: Taking taylor expansion of (- f n) in f 10.485 * [taylor]: Taking taylor expansion of f in f 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [backup-simplify]: Simplify 1 into 1 10.485 * [taylor]: Taking taylor expansion of n in f 10.485 * [backup-simplify]: Simplify n into n 10.485 * [backup-simplify]: Simplify (- n) into (- n) 10.485 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.485 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 10.485 * [backup-simplify]: Simplify (- 0) into 0 10.486 * [backup-simplify]: Simplify (+ 1 0) into 1 10.486 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- n)))) into (/ 1/2 (sqrt (- n))) 10.486 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in f 10.486 * [taylor]: Taking taylor expansion of (- f n) in f 10.486 * [taylor]: Taking taylor expansion of f in f 10.486 * [backup-simplify]: Simplify 0 into 0 10.486 * [backup-simplify]: Simplify 1 into 1 10.486 * [taylor]: Taking taylor expansion of n in f 10.486 * [backup-simplify]: Simplify n into n 10.486 * [backup-simplify]: Simplify (- n) into (- n) 10.486 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 10.486 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 10.487 * [backup-simplify]: Simplify (- 0) into 0 10.487 * [backup-simplify]: Simplify (+ 1 0) into 1 10.487 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- n)))) into (/ 1/2 (sqrt (- n))) 10.487 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 10.487 * [taylor]: Taking taylor expansion of (- n) in n 10.487 * [taylor]: Taking taylor expansion of n in n 10.487 * [backup-simplify]: Simplify 0 into 0 10.487 * [backup-simplify]: Simplify 1 into 1 10.488 * [backup-simplify]: Simplify (- 0) into 0 10.488 * [backup-simplify]: Simplify (- 1) into -1 10.488 * [backup-simplify]: Simplify (sqrt 0) into 0 10.489 * [backup-simplify]: Simplify (- 1) into -1 10.489 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.489 * [backup-simplify]: Simplify 0 into 0 10.489 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- n))) in n 10.489 * [taylor]: Taking taylor expansion of 1/2 in n 10.489 * [backup-simplify]: Simplify 1/2 into 1/2 10.490 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 10.490 * [taylor]: Taking taylor expansion of (- n) in n 10.490 * [taylor]: Taking taylor expansion of n in n 10.490 * [backup-simplify]: Simplify 0 into 0 10.490 * [backup-simplify]: Simplify 1 into 1 10.490 * [backup-simplify]: Simplify (- 0) into 0 10.490 * [backup-simplify]: Simplify (- 1) into -1 10.490 * [backup-simplify]: Simplify (sqrt 0) into 0 10.490 * [backup-simplify]: Simplify (- 1) into -1 10.491 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.492 * [backup-simplify]: Simplify (/ 1/2 +nan.0) into +nan.0 10.492 * [backup-simplify]: Simplify (- 0) into 0 10.494 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.495 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 10.496 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.496 * [backup-simplify]: Simplify (- 0) into 0 10.496 * [backup-simplify]: Simplify (+ 0 0) into 0 10.497 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- n))) 2) (+)) (* 2 (sqrt (- n)))) into (/ -1/8 (pow (sqrt (- n)) 3)) 10.497 * [taylor]: Taking taylor expansion of (/ -1/8 (pow (sqrt (- n)) 3)) in n 10.497 * [taylor]: Taking taylor expansion of -1/8 in n 10.497 * [backup-simplify]: Simplify -1/8 into -1/8 10.497 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 3) in n 10.497 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 10.497 * [taylor]: Taking taylor expansion of (- n) in n 10.497 * [taylor]: Taking taylor expansion of n in n 10.497 * [backup-simplify]: Simplify 0 into 0 10.497 * [backup-simplify]: Simplify 1 into 1 10.497 * [backup-simplify]: Simplify (- 0) into 0 10.497 * [backup-simplify]: Simplify (- 1) into -1 10.497 * [backup-simplify]: Simplify (sqrt 0) into 0 10.498 * [backup-simplify]: Simplify (- 1) into -1 10.499 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.499 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 10.499 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 10.500 * [backup-simplify]: Simplify (/ -1/8 +nan.0) into +nan.0 10.500 * [backup-simplify]: Simplify (- 0) into 0 10.500 * [backup-simplify]: Simplify (- 0) into 0 10.502 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.502 * [backup-simplify]: Simplify (- 0) into 0 10.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.508 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.510 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 10.511 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 10.512 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 10.515 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 10.516 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 10.518 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 10.520 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 10.523 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 10.527 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 10.528 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.529 * [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)))))) 10.529 * [backup-simplify]: Simplify (sqrt (- (/ 1 f) (/ 1 n))) into (sqrt (- (/ 1 f) (/ 1 n))) 10.529 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in (f n) around 0 10.529 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in n 10.529 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 10.529 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.529 * [taylor]: Taking taylor expansion of f in n 10.529 * [backup-simplify]: Simplify f into f 10.529 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.529 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.529 * [taylor]: Taking taylor expansion of n in n 10.529 * [backup-simplify]: Simplify 0 into 0 10.529 * [backup-simplify]: Simplify 1 into 1 10.529 * [backup-simplify]: Simplify (/ 1 1) into 1 10.530 * [backup-simplify]: Simplify (- 1) into -1 10.530 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.531 * [backup-simplify]: Simplify (sqrt 0) into 0 10.532 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.532 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in f 10.532 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.532 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.532 * [taylor]: Taking taylor expansion of f in f 10.532 * [backup-simplify]: Simplify 0 into 0 10.532 * [backup-simplify]: Simplify 1 into 1 10.533 * [backup-simplify]: Simplify (/ 1 1) into 1 10.533 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.533 * [taylor]: Taking taylor expansion of n in f 10.533 * [backup-simplify]: Simplify n into n 10.533 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.533 * [backup-simplify]: Simplify (+ 1 0) into 1 10.534 * [backup-simplify]: Simplify (sqrt 0) into 0 10.535 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.535 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in f 10.535 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 10.535 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.535 * [taylor]: Taking taylor expansion of f in f 10.535 * [backup-simplify]: Simplify 0 into 0 10.535 * [backup-simplify]: Simplify 1 into 1 10.535 * [backup-simplify]: Simplify (/ 1 1) into 1 10.535 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.535 * [taylor]: Taking taylor expansion of n in f 10.535 * [backup-simplify]: Simplify n into n 10.536 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.536 * [backup-simplify]: Simplify (+ 1 0) into 1 10.536 * [backup-simplify]: Simplify (sqrt 0) into 0 10.538 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.538 * [taylor]: Taking taylor expansion of 0 in n 10.538 * [backup-simplify]: Simplify 0 into 0 10.538 * [taylor]: Taking taylor expansion of +nan.0 in n 10.538 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.538 * [backup-simplify]: Simplify 0 into 0 10.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.539 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 10.539 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 10.541 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 10.541 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 n))) in n 10.541 * [taylor]: Taking taylor expansion of +nan.0 in n 10.541 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.541 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 n)) in n 10.541 * [taylor]: Taking taylor expansion of +nan.0 in n 10.541 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.541 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.541 * [taylor]: Taking taylor expansion of n in n 10.541 * [backup-simplify]: Simplify 0 into 0 10.541 * [backup-simplify]: Simplify 1 into 1 10.541 * [backup-simplify]: Simplify (/ 1 1) into 1 10.542 * [backup-simplify]: Simplify (+ 0 1) into 1 10.542 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 10.542 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.542 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.542 * [backup-simplify]: Simplify 0 into 0 10.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.544 * [backup-simplify]: Simplify (- 0) into 0 10.544 * [backup-simplify]: Simplify (+ 0 0) into 0 10.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 10.545 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 10.545 * [taylor]: Taking taylor expansion of +nan.0 in n 10.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.545 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 10.545 * [taylor]: Taking taylor expansion of +nan.0 in n 10.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.545 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 10.545 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.545 * [taylor]: Taking taylor expansion of +nan.0 in n 10.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.545 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.545 * [taylor]: Taking taylor expansion of n in n 10.545 * [backup-simplify]: Simplify 0 into 0 10.545 * [backup-simplify]: Simplify 1 into 1 10.546 * [backup-simplify]: Simplify (/ 1 1) into 1 10.546 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 10.546 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.547 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.548 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 10.548 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.549 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 n)) (pow (/ 1 f) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 n)) (/ 1 f))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 10.549 * [backup-simplify]: Simplify (sqrt (- (/ 1 (- f)) (/ 1 (- n)))) into (sqrt (- (/ 1 n) (/ 1 f))) 10.549 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in (f n) around 0 10.549 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in n 10.549 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 10.549 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.549 * [taylor]: Taking taylor expansion of n in n 10.549 * [backup-simplify]: Simplify 0 into 0 10.549 * [backup-simplify]: Simplify 1 into 1 10.550 * [backup-simplify]: Simplify (/ 1 1) into 1 10.550 * [taylor]: Taking taylor expansion of (/ 1 f) in n 10.550 * [taylor]: Taking taylor expansion of f in n 10.550 * [backup-simplify]: Simplify f into f 10.550 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 10.550 * [backup-simplify]: Simplify (+ 1 0) into 1 10.551 * [backup-simplify]: Simplify (sqrt 0) into 0 10.552 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.552 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in f 10.552 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.552 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.552 * [taylor]: Taking taylor expansion of n in f 10.552 * [backup-simplify]: Simplify n into n 10.552 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.552 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.552 * [taylor]: Taking taylor expansion of f in f 10.553 * [backup-simplify]: Simplify 0 into 0 10.553 * [backup-simplify]: Simplify 1 into 1 10.553 * [backup-simplify]: Simplify (/ 1 1) into 1 10.553 * [backup-simplify]: Simplify (- 1) into -1 10.554 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.554 * [backup-simplify]: Simplify (sqrt 0) into 0 10.556 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.556 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in f 10.556 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 10.556 * [taylor]: Taking taylor expansion of (/ 1 n) in f 10.556 * [taylor]: Taking taylor expansion of n in f 10.556 * [backup-simplify]: Simplify n into n 10.556 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.556 * [taylor]: Taking taylor expansion of (/ 1 f) in f 10.556 * [taylor]: Taking taylor expansion of f in f 10.556 * [backup-simplify]: Simplify 0 into 0 10.556 * [backup-simplify]: Simplify 1 into 1 10.556 * [backup-simplify]: Simplify (/ 1 1) into 1 10.557 * [backup-simplify]: Simplify (- 1) into -1 10.557 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.558 * [backup-simplify]: Simplify (sqrt 0) into 0 10.559 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.559 * [taylor]: Taking taylor expansion of 0 in n 10.559 * [backup-simplify]: Simplify 0 into 0 10.559 * [taylor]: Taking taylor expansion of +nan.0 in n 10.559 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.559 * [backup-simplify]: Simplify 0 into 0 10.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.560 * [backup-simplify]: Simplify (- 0) into 0 10.560 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 10.562 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 10.562 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 10.562 * [taylor]: Taking taylor expansion of +nan.0 in n 10.562 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.562 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 10.562 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.562 * [taylor]: Taking taylor expansion of n in n 10.562 * [backup-simplify]: Simplify 0 into 0 10.562 * [backup-simplify]: Simplify 1 into 1 10.562 * [backup-simplify]: Simplify (/ 1 1) into 1 10.562 * [taylor]: Taking taylor expansion of +nan.0 in n 10.562 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.563 * [backup-simplify]: Simplify (+ 1 0) into 1 10.563 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 10.563 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.563 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.563 * [backup-simplify]: Simplify 0 into 0 10.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.565 * [backup-simplify]: Simplify (- 0) into 0 10.565 * [backup-simplify]: Simplify (+ 0 0) into 0 10.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 10.566 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 10.566 * [taylor]: Taking taylor expansion of +nan.0 in n 10.566 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.566 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 10.566 * [taylor]: Taking taylor expansion of +nan.0 in n 10.566 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 10.566 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 10.566 * [taylor]: Taking taylor expansion of +nan.0 in n 10.566 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.566 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.566 * [taylor]: Taking taylor expansion of n in n 10.566 * [backup-simplify]: Simplify 0 into 0 10.566 * [backup-simplify]: Simplify 1 into 1 10.566 * [backup-simplify]: Simplify (/ 1 1) into 1 10.567 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 10.567 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.568 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 10.569 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 10.569 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.570 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 10.570 * * * [progress]: simplifying candidates 10.579 * [simplify]: Simplifying: (- (log (+ f n)) (log (sqrt (- f n)))) (log (/ (+ f n) (sqrt (- f n)))) (exp (/ (+ f n) (sqrt (- f n)))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n)))) (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f n))))) (cbrt (/ (+ f n) (sqrt (- f n)))) (* (* (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n)))) (- (+ f n)) (- (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (sqrt (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt 1)) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ (sqrt f) (sqrt n)))) (/ (cbrt (+ f n)) (sqrt (- (sqrt f) (sqrt n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt 1)) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (sqrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (sqrt (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt 1)) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (+ (sqrt f) (sqrt n)))) (/ (sqrt (+ f n)) (sqrt (- (sqrt f) (sqrt n)))) (/ (sqrt (+ f n)) (sqrt 1)) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) 1) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ 1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (cbrt (sqrt (- f n)))) (/ 1 (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (sqrt (cbrt (- f n)))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ 1 (sqrt 1)) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (+ (sqrt f) (sqrt n)))) (/ (+ f n) (sqrt (- (sqrt f) (sqrt n)))) (/ 1 (sqrt 1)) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ 1 1) (/ (+ f n) (sqrt (- f n))) (/ 1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (cbrt (sqrt (- f n)))) (/ 1 (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (sqrt (cbrt (- f n)))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ 1 (sqrt 1)) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (+ (sqrt f) (sqrt n)))) (/ (+ f n) (sqrt (- (sqrt f) (sqrt n)))) (/ 1 (sqrt 1)) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ 1 1) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (sqrt (- f n)) (+ f n)) (/ (+ f n) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt 1)) (/ (+ f n) (sqrt (+ (sqrt f) (sqrt n)))) (/ (+ f n) (sqrt 1)) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ (+ f n) 1) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (+ f n)) (/ (+ f n) (sqrt (- (pow f 3) (pow n 3)))) (/ (+ f n) (sqrt (- (* f f) (* n n)))) (* (sqrt (- f n)) (+ (* f f) (- (* n n) (* f n)))) (* (sqrt (- f n)) (- f n)) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (+ (- (log -1) (log (sqrt (- f n)))) (- (log (+ f n)) (log (sqrt (- f n))))) (+ (- (log -1) (log (sqrt (- f n)))) (log (/ (+ f n) (sqrt (- f n))))) (+ (log (/ -1 (sqrt (- f n)))) (- (log (+ f n)) (log (sqrt (- f n))))) (+ (log (/ -1 (sqrt (- f n)))) (log (/ (+ f n) (sqrt (- f n))))) (log (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) (exp (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) (* (/ (* (* -1 -1) -1) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n)))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n))))) (* (/ (* (* -1 -1) -1) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n)))) (* (* (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n))))) (* (* (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n)))) (/ -1 (sqrt (- f n)))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n))))) (* (* (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n)))) (/ -1 (sqrt (- f n)))) (* (* (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n))))) (* (cbrt (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) (cbrt (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))))) (cbrt (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) (* (* (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) (sqrt (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) (sqrt (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) (* -1 (+ f n)) (* (sqrt (- f n)) (sqrt (- f n))) (* (sqrt (/ -1 (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (sqrt (/ -1 (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (sqrt (/ -1 (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (sqrt (/ -1 (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (sqrt (/ -1 (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (sqrt (/ -1 (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ -1 (sqrt (- f n))) (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f n)))))) (* (/ -1 (sqrt (- f n))) (sqrt (/ (+ f n) (sqrt (- f n))))) (* (/ -1 (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) (* (/ -1 (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (* (cbrt (- f n)) (cbrt (- f n)))))) (* (/ -1 (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (sqrt (- f n))))) (* (/ -1 (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt 1))) (* (/ -1 (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ (sqrt f) (sqrt n))))) (* (/ -1 (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt 1))) (* (/ -1 (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (sqrt (- f n))))) (* (/ -1 (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (* (/ -1 (sqrt (- f n))) (/ (sqrt (+ f n)) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) (* (/ -1 (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (* (cbrt (- f n)) (cbrt (- f n)))))) (* (/ -1 (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n))))) (* (/ -1 (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt 1))) (* (/ -1 (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (+ (sqrt f) (sqrt 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(sqrt (- f n))))) (* (/ -1 (sqrt (- f n))) (/ 1 1)) (* (/ -1 (sqrt (- f n))) 1) (* (/ -1 (sqrt (- f n))) (+ f n)) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- (pow f 3) (pow n 3))))) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- (* f f) (* n n))))) (* (cbrt (/ -1 (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (sqrt (/ -1 (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ (cbrt -1) (cbrt (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ (cbrt -1) (sqrt (cbrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ (cbrt -1) (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ (cbrt -1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (/ (cbrt -1) (sqrt (- (sqrt f) (sqrt n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ (cbrt -1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (/ (cbrt -1) (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ (cbrt -1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (/ (sqrt -1) (cbrt (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ (sqrt -1) (sqrt (cbrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ (sqrt -1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (/ (sqrt -1) (sqrt (- (sqrt f) (sqrt n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ (sqrt -1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ (sqrt -1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (/ -1 (cbrt (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ -1 (sqrt (cbrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ -1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (/ -1 (sqrt (- (sqrt f) (sqrt n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (/ -1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (/ 1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (* (sqrt (+ (* f f) (+ (* n n) (* f n)))) (/ (+ f n) (sqrt (- f n)))) (* (sqrt (+ f n)) (/ (+ f n) (sqrt (- f n)))) (* (/ -1 (sqrt (- f n))) (+ f n)) (* -1 (/ (+ f n) (sqrt (- f n)))) (- (log -1) (log (sqrt (- f n)))) (log (/ -1 (sqrt (- f n)))) (exp (/ -1 (sqrt (- f n)))) (/ (* (* -1 -1) -1) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n)))) (* (cbrt (/ -1 (sqrt (- f n)))) (cbrt (/ -1 (sqrt (- f n))))) (cbrt (/ -1 (sqrt (- f n)))) (* (* (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n)))) (/ -1 (sqrt (- f n)))) (sqrt (/ -1 (sqrt (- f n)))) (sqrt (/ -1 (sqrt (- f n)))) (- -1) (- (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (cbrt -1) (cbrt (sqrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt -1) (sqrt (cbrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (sqrt (- f n)))) (/ (cbrt -1) (sqrt (sqrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt 1)) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (+ (sqrt f) (sqrt n)))) (/ (cbrt -1) (sqrt (- (sqrt f) (sqrt n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt 1)) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (sqrt (- f n)))) (/ (cbrt -1) (sqrt (sqrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (sqrt (- f n))) (/ (sqrt -1) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (sqrt -1) (cbrt (sqrt (- f n)))) (/ (sqrt -1) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt -1) (sqrt (cbrt (- f n)))) (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt -1) (sqrt 1)) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (+ (sqrt f) (sqrt n)))) (/ (sqrt -1) (sqrt (- (sqrt f) (sqrt n)))) (/ (sqrt -1) (sqrt 1)) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt -1) (sqrt (sqrt (- f n)))) (/ (sqrt -1) 1) (/ (sqrt -1) (sqrt (- f n))) (/ 1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ -1 (cbrt (sqrt (- f n)))) (/ 1 (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ -1 (sqrt (cbrt (- f n)))) (/ 1 (sqrt 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f n)) (sqrt (+ (sqrt f) (sqrt n))) (sqrt (- (sqrt f) (sqrt n))) (sqrt 1) (sqrt (- f n)) (sqrt (- (pow f 3) (pow n 3))) (sqrt (+ (* f f) (+ (* n n) (* f n)))) (sqrt (- (* f f) (* n n))) (sqrt (+ f n)) (/ 1 2) (sqrt (sqrt (- f n))) (sqrt (sqrt (- f n))) (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 1 -1 -1 (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 2))) (- (* +nan.0 (/ 1 (pow f 3)))))))) (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 2))) (- (* +nan.0 (/ 1 (pow f 3)))))))) (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 10.586 * * [simplify]: iteration 0: 255 enodes 10.669 * * [simplify]: iteration 1: 722 enodes 11.041 * * [simplify]: iteration 2: 2354 enodes 11.852 * * [simplify]: iteration complete: 5002 enodes 11.853 * * [simplify]: Extracting #0: cost 156 inf + 0 11.856 * * [simplify]: Extracting #1: cost 706 inf + 44 11.864 * * [simplify]: Extracting #2: cost 1517 inf + 2125 11.880 * * [simplify]: Extracting #3: cost 1754 inf + 22305 11.925 * * [simplify]: Extracting #4: cost 1021 inf + 141383 11.995 * * [simplify]: Extracting #5: cost 215 inf + 344923 12.097 * * [simplify]: Extracting #6: cost 26 inf + 402039 12.172 * * [simplify]: Extracting #7: cost 4 inf + 406430 12.265 * * [simplify]: Extracting #8: cost 0 inf + 407442 12.377 * [simplify]: Simplified to: (log (/ (+ f n) (sqrt (- f n)))) (log (/ (+ f n) (sqrt (- f n)))) (exp (/ (+ f n) (sqrt (- f n)))) (/ (* (+ f n) (+ f n)) (/ (* (sqrt (- f n)) (- f n)) (+ f n))) (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f n))))) (cbrt (/ (+ f n) (sqrt (- f n)))) (/ (* (+ f n) (+ f n)) (/ (* (sqrt (- f n)) (- f n)) (+ f n))) (sqrt (/ (+ f n) (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n)))) (- (+ n f)) (- (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 (+ f n)) (/ (fabs (cbrt (- f n))) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (sqrt (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (/ (cbrt (+ f n)) (sqrt (+ (sqrt f) (sqrt n)))) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (- (sqrt f) (sqrt n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (/ (sqrt (+ f n)) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (fabs 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1 (sqrt (- f n)) (sqrt (- (* f (* f f)) (* (* n n) n))) (sqrt (+ (* n (+ f n)) (* f f))) (sqrt (* (+ f n) (- f n))) (sqrt (+ f n)) 1/2 (sqrt (sqrt (- f n))) (sqrt (sqrt (- f n))) (- (+ (* +nan.0 (- (* f f) n)) (* f +nan.0))) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) 1 -1 -1 (+ (* (- n) +nan.0) (- (* f +nan.0) +nan.0)) (+ (- (/ (/ +nan.0 f) f) (/ +nan.0 (* f (* f f)))) (- (/ +nan.0 f))) (+ (- (/ (/ +nan.0 f) f) (/ +nan.0 (* f (* f f)))) (- (/ +nan.0 f))) (- (+ (* +nan.0 (- (* f f) n)) (* f +nan.0))) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) 12.406 * * * [progress]: adding candidates to table 13.374 * [progress]: [Phase 3 of 3] Extracting. 13.374 * * [regime]: Finding splitpoints for: (# # #) 13.376 * * * [regime-changes]: Trying 2 branch expressions: (n f) 13.377 * * * * [regimes]: Trying to branch on n from (# # #) 13.413 * * * * [regimes]: Trying to branch on f from (# # #) 13.444 * * * [regime]: Found split indices: #