0.693 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.096 * * * [progress]: [2/2] Setting up program. 0.099 * [progress]: [Phase 2 of 3] Improving. 0.099 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.101 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.102 * * [simplify]: iteration 1: (6 enodes) 0.105 * * [simplify]: iteration 2: (13 enodes) 0.108 * * [simplify]: iteration 3: (16 enodes) 0.110 * * [simplify]: iteration 4: (20 enodes) 0.112 * * [simplify]: iteration 5: (24 enodes) 0.116 * * [simplify]: iteration 6: (29 enodes) 0.119 * * [simplify]: iteration 7: (31 enodes) 0.123 * * [simplify]: Extracting #0: cost 1 inf + 0 0.123 * * [simplify]: Extracting #1: cost 9 inf + 0 0.123 * * [simplify]: Extracting #2: cost 14 inf + 0 0.123 * * [simplify]: Extracting #3: cost 11 inf + 43 0.123 * * [simplify]: Extracting #4: cost 2 inf + 860 0.124 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.124 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.128 * * [progress]: iteration 1 / 4 0.128 * * * [progress]: picking best candidate 0.130 * * * * [pick]: Picked # 0.130 * * * [progress]: localizing error 0.165 * * * [progress]: generating rewritten candidates 0.166 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.193 * * * [progress]: generating series expansions 0.193 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.199 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.199 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.200 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.200 * [taylor]: Taking taylor expansion of -1 in n 0.200 * [backup-simplify]: Simplify -1 into -1 0.200 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.200 * [taylor]: Taking taylor expansion of (+ n f) in n 0.200 * [taylor]: Taking taylor expansion of n in n 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of f in n 0.200 * [backup-simplify]: Simplify f into f 0.200 * [taylor]: Taking taylor expansion of (- f n) in n 0.200 * [taylor]: Taking taylor expansion of f in n 0.200 * [backup-simplify]: Simplify f into f 0.200 * [taylor]: Taking taylor expansion of n in n 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (+ 0 f) into f 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ f 0) into f 0.201 * [backup-simplify]: Simplify (/ f f) into 1 0.201 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.201 * [taylor]: Taking taylor expansion of -1 in f 0.201 * [backup-simplify]: Simplify -1 into -1 0.201 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.201 * [taylor]: Taking taylor expansion of (+ n f) in f 0.201 * [taylor]: Taking taylor expansion of n in f 0.201 * [backup-simplify]: Simplify n into n 0.201 * [taylor]: Taking taylor expansion of f in f 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of (- f n) in f 0.201 * [taylor]: Taking taylor expansion of f in f 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of n in f 0.201 * [backup-simplify]: Simplify n into n 0.201 * [backup-simplify]: Simplify (+ n 0) into n 0.201 * [backup-simplify]: Simplify (- n) into (- n) 0.201 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.201 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.201 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.201 * [taylor]: Taking taylor expansion of -1 in f 0.201 * [backup-simplify]: Simplify -1 into -1 0.201 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.201 * [taylor]: Taking taylor expansion of (+ n f) in f 0.201 * [taylor]: Taking taylor expansion of n in f 0.201 * [backup-simplify]: Simplify n into n 0.202 * [taylor]: Taking taylor expansion of f in f 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [taylor]: Taking taylor expansion of (- f n) in f 0.202 * [taylor]: Taking taylor expansion of f in f 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [taylor]: Taking taylor expansion of n in f 0.202 * [backup-simplify]: Simplify n into n 0.202 * [backup-simplify]: Simplify (+ n 0) into n 0.202 * [backup-simplify]: Simplify (- n) into (- n) 0.202 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.202 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.203 * [backup-simplify]: Simplify (* -1 -1) into 1 0.203 * [taylor]: Taking taylor expansion of 1 in n 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (+ 0 1) into 1 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.204 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.205 * [taylor]: Taking taylor expansion of 2 in n 0.205 * [backup-simplify]: Simplify 2 into 2 0.205 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.205 * [taylor]: Taking taylor expansion of n in n 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.208 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.208 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.208 * [taylor]: Taking taylor expansion of 2 in n 0.208 * [backup-simplify]: Simplify 2 into 2 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.208 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.208 * [taylor]: Taking taylor expansion of n in n 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [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)))) 0.214 * [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))) 0.214 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.214 * [taylor]: Taking taylor expansion of 2 in n 0.214 * [backup-simplify]: Simplify 2 into 2 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.214 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.214 * [taylor]: Taking taylor expansion of n in n 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.221 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.221 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.221 * [taylor]: Taking taylor expansion of -1 in n 0.221 * [backup-simplify]: Simplify -1 into -1 0.221 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.221 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.221 * [taylor]: Taking taylor expansion of f in n 0.221 * [backup-simplify]: Simplify f into f 0.221 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.221 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.221 * [taylor]: Taking taylor expansion of n in n 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.222 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.222 * [taylor]: Taking taylor expansion of f in n 0.222 * [backup-simplify]: Simplify f into f 0.222 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.222 * [taylor]: Taking taylor expansion of (/ 1 n) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (+ 0 1) into 1 0.223 * [backup-simplify]: Simplify (- 1) into -1 0.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.223 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.223 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 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 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.223 * [taylor]: Taking taylor expansion of (/ 1 f) 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 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.224 * [taylor]: Taking taylor expansion of n in f 0.224 * [backup-simplify]: Simplify n into n 0.224 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.224 * [taylor]: Taking taylor expansion of (/ 1 f) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.224 * [taylor]: Taking taylor expansion of n in f 0.224 * [backup-simplify]: Simplify n into n 0.224 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.225 * [taylor]: Taking taylor expansion of -1 in f 0.225 * [backup-simplify]: Simplify -1 into -1 0.225 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.225 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.225 * [taylor]: Taking taylor expansion of f in f 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.225 * [taylor]: Taking taylor expansion of n in f 0.225 * [backup-simplify]: Simplify n into n 0.225 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.225 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.225 * [taylor]: Taking taylor expansion of f in f 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.226 * [taylor]: Taking taylor expansion of n in f 0.226 * [backup-simplify]: Simplify n into n 0.226 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify (* -1 1) into -1 0.227 * [taylor]: Taking taylor expansion of -1 in n 0.227 * [backup-simplify]: Simplify -1 into -1 0.227 * [backup-simplify]: Simplify -1 into -1 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.228 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.228 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.229 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.229 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.229 * [taylor]: Taking taylor expansion of 2 in n 0.229 * [backup-simplify]: Simplify 2 into 2 0.229 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.229 * [taylor]: Taking taylor expansion of n in n 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.242 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.242 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.242 * [taylor]: Taking taylor expansion of 2 in n 0.242 * [backup-simplify]: Simplify 2 into 2 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.242 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.242 * [taylor]: Taking taylor expansion of n in n 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [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))) 0.251 * [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)))) 0.251 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.251 * [taylor]: Taking taylor expansion of 2 in n 0.251 * [backup-simplify]: Simplify 2 into 2 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.251 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.251 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.258 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.258 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.258 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.258 * [taylor]: Taking taylor expansion of f in n 0.258 * [backup-simplify]: Simplify f into f 0.258 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.258 * [taylor]: Taking taylor expansion of n in n 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.258 * [taylor]: Taking taylor expansion of n in n 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.259 * [taylor]: Taking taylor expansion of f in n 0.259 * [backup-simplify]: Simplify f into f 0.259 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.259 * [backup-simplify]: Simplify (+ 0 1) into 1 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.260 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.260 * [taylor]: Taking taylor expansion of f in f 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 0.260 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.260 * [taylor]: Taking taylor expansion of n in f 0.260 * [backup-simplify]: Simplify n into n 0.260 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.260 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.260 * [taylor]: Taking taylor expansion of n in f 0.260 * [backup-simplify]: Simplify n into n 0.260 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.260 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.260 * [taylor]: Taking taylor expansion of f in f 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 0) into 1 0.261 * [backup-simplify]: Simplify (- 1) into -1 0.261 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.262 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.262 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.262 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.262 * [taylor]: Taking taylor expansion of f in f 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.262 * [taylor]: Taking taylor expansion of n in f 0.262 * [backup-simplify]: Simplify n into n 0.263 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.263 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.263 * [taylor]: Taking taylor expansion of n in f 0.263 * [backup-simplify]: Simplify n into n 0.263 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.263 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.263 * [taylor]: Taking taylor expansion of f in f 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [backup-simplify]: Simplify (- 1) into -1 0.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.264 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.264 * [taylor]: Taking taylor expansion of -1 in n 0.264 * [backup-simplify]: Simplify -1 into -1 0.264 * [backup-simplify]: Simplify -1 into -1 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.266 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.266 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.266 * [taylor]: Taking taylor expansion of 2 in n 0.266 * [backup-simplify]: Simplify 2 into 2 0.266 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.266 * [taylor]: Taking taylor expansion of n in n 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.270 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.270 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 2)) in n 0.270 * [taylor]: Taking taylor expansion of (pow n 2) 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 0.271 * [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 1))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [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)))) 0.279 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.279 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.279 * [taylor]: Taking taylor expansion of 2 in n 0.279 * [backup-simplify]: Simplify 2 into 2 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.279 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.279 * [taylor]: Taking taylor expansion of n in n 0.279 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify -1 into -1 0.288 * * * [progress]: simplifying candidates 0.288 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 0.288 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 0.289 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 0.290 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 0.291 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 0.292 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 0.293 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 0.294 * * * * [progress]: [ 98 / 101 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.295 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 0.295 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 0.295 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 0.297 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) 1 -1 -1 0.300 * * [simplify]: iteration 1: (136 enodes) 0.346 * * [simplify]: iteration 2: (316 enodes) 0.409 * * [simplify]: iteration 3: (704 enodes) 0.804 * * [simplify]: iteration 4: (1792 enodes) 2.353 * * [simplify]: Extracting #0: cost 89 inf + 0 2.355 * * [simplify]: Extracting #1: cost 475 inf + 3 2.359 * * [simplify]: Extracting #2: cost 885 inf + 8224 2.381 * * [simplify]: Extracting #3: cost 547 inf + 114816 2.450 * * [simplify]: Extracting #4: cost 100 inf + 224180 2.527 * * [simplify]: Extracting #5: cost 10 inf + 251050 2.621 * * [simplify]: Extracting #6: cost 0 inf + 255489 2.700 * [simplify]: Simplified to: (expm1 (- (/ (+ n f) (- f n)))) (log1p (- (/ (+ n f) (- f n)))) (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)) (* (- f n) (fma n n (* (- f n) f))) (* (- f n) (- f n)) (real->posit16 (- (/ (+ n f) (- f n)))) 1 -1 -1 2.711 * * * [progress]: adding candidates to table 3.455 * * [progress]: iteration 2 / 4 3.455 * * * [progress]: picking best candidate 3.468 * * * * [pick]: Picked # 3.468 * * * [progress]: localizing error 3.479 * * * [progress]: generating rewritten candidates 3.479 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.496 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.516 * * * [progress]: generating series expansions 3.517 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.517 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 3.517 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 3.517 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.517 * [taylor]: Taking taylor expansion of (- f n) in n 3.517 * [taylor]: Taking taylor expansion of f in n 3.517 * [backup-simplify]: Simplify f into f 3.517 * [taylor]: Taking taylor expansion of n in n 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 1 into 1 3.517 * [taylor]: Taking taylor expansion of (+ n f) in n 3.517 * [taylor]: Taking taylor expansion of n in n 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 1 into 1 3.517 * [taylor]: Taking taylor expansion of f in n 3.517 * [backup-simplify]: Simplify f into f 3.518 * [backup-simplify]: Simplify (- 0) into 0 3.518 * [backup-simplify]: Simplify (+ f 0) into f 3.518 * [backup-simplify]: Simplify (+ 0 f) into f 3.518 * [backup-simplify]: Simplify (/ f f) into 1 3.518 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.518 * [taylor]: Taking taylor expansion of (- f n) in f 3.518 * [taylor]: Taking taylor expansion of f in f 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.518 * [taylor]: Taking taylor expansion of n in f 3.518 * [backup-simplify]: Simplify n into n 3.519 * [taylor]: Taking taylor expansion of (+ n f) in f 3.519 * [taylor]: Taking taylor expansion of n in f 3.519 * [backup-simplify]: Simplify n into n 3.519 * [taylor]: Taking taylor expansion of f in f 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [backup-simplify]: Simplify (- n) into (- n) 3.519 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.519 * [backup-simplify]: Simplify (+ n 0) into n 3.519 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.519 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.519 * [taylor]: Taking taylor expansion of (- f n) in f 3.519 * [taylor]: Taking taylor expansion of f in f 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [taylor]: Taking taylor expansion of n in f 3.519 * [backup-simplify]: Simplify n into n 3.519 * [taylor]: Taking taylor expansion of (+ n f) in f 3.519 * [taylor]: Taking taylor expansion of n in f 3.519 * [backup-simplify]: Simplify n into n 3.519 * [taylor]: Taking taylor expansion of f in f 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [backup-simplify]: Simplify (- n) into (- n) 3.519 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.519 * [backup-simplify]: Simplify (+ n 0) into n 3.519 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.520 * [taylor]: Taking taylor expansion of -1 in n 3.520 * [backup-simplify]: Simplify -1 into -1 3.520 * [backup-simplify]: Simplify -1 into -1 3.520 * [backup-simplify]: Simplify (- 0) into 0 3.521 * [backup-simplify]: Simplify (+ 1 0) into 1 3.521 * [backup-simplify]: Simplify (+ 0 1) into 1 3.521 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 3.521 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.521 * [taylor]: Taking taylor expansion of 2 in n 3.521 * [backup-simplify]: Simplify 2 into 2 3.521 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.521 * [taylor]: Taking taylor expansion of n in n 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 1 into 1 3.522 * [backup-simplify]: Simplify (/ 1 1) into 1 3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify (- 0) into 0 3.525 * [backup-simplify]: Simplify (+ 0 0) into 0 3.525 * [backup-simplify]: Simplify (+ 0 0) into 0 3.525 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 3.525 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.525 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.525 * [taylor]: Taking taylor expansion of 2 in n 3.525 * [backup-simplify]: Simplify 2 into 2 3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.525 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.525 * [taylor]: Taking taylor expansion of n in n 3.525 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (* 1 1) into 1 3.526 * [backup-simplify]: Simplify (/ 1 1) into 1 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.531 * [backup-simplify]: Simplify (- 0) into 0 3.531 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.532 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify (- 0) into 0 3.533 * [backup-simplify]: Simplify (+ 0 0) into 0 3.533 * [backup-simplify]: Simplify (+ 0 0) into 0 3.533 * [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))) 3.533 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.533 * [taylor]: Taking taylor expansion of 2 in n 3.533 * [backup-simplify]: Simplify 2 into 2 3.533 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.533 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.534 * [taylor]: Taking taylor expansion of n in n 3.534 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify 1 into 1 3.534 * [backup-simplify]: Simplify (* 1 1) into 1 3.534 * [backup-simplify]: Simplify (* 1 1) into 1 3.534 * [backup-simplify]: Simplify (/ 1 1) into 1 3.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.540 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify -1 into -1 3.540 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 3.540 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 3.540 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.540 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.540 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.540 * [taylor]: Taking taylor expansion of f in n 3.540 * [backup-simplify]: Simplify f into f 3.540 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.540 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.540 * [taylor]: Taking taylor expansion of n in n 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.540 * [backup-simplify]: Simplify (/ 1 1) into 1 3.540 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.540 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.540 * [taylor]: Taking taylor expansion of f in n 3.540 * [backup-simplify]: Simplify f into f 3.540 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.540 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.541 * [taylor]: Taking taylor expansion of n in n 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * [backup-simplify]: Simplify (/ 1 1) into 1 3.541 * [backup-simplify]: Simplify (- 1) into -1 3.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.542 * [backup-simplify]: Simplify (+ 0 1) into 1 3.542 * [backup-simplify]: Simplify (/ -1 1) into -1 3.542 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.542 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.542 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.542 * [taylor]: Taking taylor expansion of f in f 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (/ 1 1) into 1 3.542 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.542 * [taylor]: Taking taylor expansion of n in f 3.542 * [backup-simplify]: Simplify n into n 3.542 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.542 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.542 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.542 * [taylor]: Taking taylor expansion of f in f 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.543 * [backup-simplify]: Simplify (/ 1 1) into 1 3.543 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.543 * [taylor]: Taking taylor expansion of n in f 3.543 * [backup-simplify]: Simplify n into n 3.543 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.543 * [backup-simplify]: Simplify (+ 1 0) into 1 3.543 * [backup-simplify]: Simplify (+ 1 0) into 1 3.543 * [backup-simplify]: Simplify (/ 1 1) into 1 3.544 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.544 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.544 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.544 * [taylor]: Taking taylor expansion of f in f 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [backup-simplify]: Simplify (/ 1 1) into 1 3.544 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.544 * [taylor]: Taking taylor expansion of n in f 3.544 * [backup-simplify]: Simplify n into n 3.544 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.544 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.544 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.544 * [taylor]: Taking taylor expansion of f in f 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [backup-simplify]: Simplify (/ 1 1) into 1 3.544 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.544 * [taylor]: Taking taylor expansion of n in f 3.544 * [backup-simplify]: Simplify n into n 3.544 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.545 * [backup-simplify]: Simplify (+ 1 0) into 1 3.545 * [backup-simplify]: Simplify (+ 1 0) into 1 3.545 * [backup-simplify]: Simplify (/ 1 1) into 1 3.549 * [taylor]: Taking taylor expansion of 1 in n 3.549 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify 1 into 1 3.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.550 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.550 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.551 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 3.551 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.551 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.551 * [taylor]: Taking taylor expansion of 2 in n 3.551 * [backup-simplify]: Simplify 2 into 2 3.551 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.551 * [taylor]: Taking taylor expansion of n in n 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify 1 into 1 3.551 * [backup-simplify]: Simplify (/ 1 1) into 1 3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.552 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.552 * [backup-simplify]: Simplify (- 0) into 0 3.552 * [backup-simplify]: Simplify 0 into 0 3.552 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.553 * [backup-simplify]: Simplify (- 0) into 0 3.553 * [backup-simplify]: Simplify (+ 0 0) into 0 3.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.554 * [backup-simplify]: Simplify (+ 0 0) into 0 3.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 3.555 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.555 * [taylor]: Taking taylor expansion of 2 in n 3.555 * [backup-simplify]: Simplify 2 into 2 3.555 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.555 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.555 * [taylor]: Taking taylor expansion of n in n 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify 1 into 1 3.556 * [backup-simplify]: Simplify (* 1 1) into 1 3.556 * [backup-simplify]: Simplify (/ 1 1) into 1 3.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.558 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.558 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.559 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.560 * [backup-simplify]: Simplify (- 0) into 0 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.561 * [backup-simplify]: Simplify (- 0) into 0 3.561 * [backup-simplify]: Simplify (+ 0 0) into 0 3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.562 * [backup-simplify]: Simplify (+ 0 0) into 0 3.563 * [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)))) 3.563 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.563 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.563 * [taylor]: Taking taylor expansion of 2 in n 3.563 * [backup-simplify]: Simplify 2 into 2 3.563 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.563 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.563 * [taylor]: Taking taylor expansion of n in n 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 1 into 1 3.563 * [backup-simplify]: Simplify (* 1 1) into 1 3.563 * [backup-simplify]: Simplify (* 1 1) into 1 3.564 * [backup-simplify]: Simplify (/ 1 1) into 1 3.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.569 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.569 * [backup-simplify]: Simplify (- 0) into 0 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.570 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 3.570 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 3.570 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 3.570 * [taylor]: Taking taylor expansion of -1 in n 3.570 * [backup-simplify]: Simplify -1 into -1 3.570 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.570 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.570 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.570 * [taylor]: Taking taylor expansion of n in n 3.570 * [backup-simplify]: Simplify 0 into 0 3.570 * [backup-simplify]: Simplify 1 into 1 3.570 * [backup-simplify]: Simplify (/ 1 1) into 1 3.570 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.570 * [taylor]: Taking taylor expansion of f in n 3.570 * [backup-simplify]: Simplify f into f 3.570 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.570 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.570 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.570 * [taylor]: Taking taylor expansion of f in n 3.570 * [backup-simplify]: Simplify f into f 3.570 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.570 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.570 * [taylor]: Taking taylor expansion of n in n 3.570 * [backup-simplify]: Simplify 0 into 0 3.570 * [backup-simplify]: Simplify 1 into 1 3.570 * [backup-simplify]: Simplify (/ 1 1) into 1 3.571 * [backup-simplify]: Simplify (+ 1 0) into 1 3.571 * [backup-simplify]: Simplify (+ 0 1) into 1 3.571 * [backup-simplify]: Simplify (/ 1 1) into 1 3.571 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.571 * [taylor]: Taking taylor expansion of -1 in f 3.571 * [backup-simplify]: Simplify -1 into -1 3.571 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.571 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.571 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.571 * [taylor]: Taking taylor expansion of n in f 3.571 * [backup-simplify]: Simplify n into n 3.571 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.571 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.571 * [taylor]: Taking taylor expansion of f in f 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.572 * [backup-simplify]: Simplify (/ 1 1) into 1 3.572 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.572 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.572 * [taylor]: Taking taylor expansion of f in f 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [backup-simplify]: Simplify (/ 1 1) into 1 3.572 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.572 * [taylor]: Taking taylor expansion of n in f 3.572 * [backup-simplify]: Simplify n into n 3.572 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.572 * [backup-simplify]: Simplify (- 1) into -1 3.573 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.573 * [backup-simplify]: Simplify (+ 1 0) into 1 3.573 * [backup-simplify]: Simplify (/ -1 1) into -1 3.573 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.573 * [taylor]: Taking taylor expansion of -1 in f 3.573 * [backup-simplify]: Simplify -1 into -1 3.573 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.573 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.573 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.573 * [taylor]: Taking taylor expansion of n in f 3.573 * [backup-simplify]: Simplify n into n 3.573 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.573 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.573 * [taylor]: Taking taylor expansion of f in f 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.574 * [backup-simplify]: Simplify (/ 1 1) into 1 3.574 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.574 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.574 * [taylor]: Taking taylor expansion of f in f 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 1 into 1 3.574 * [backup-simplify]: Simplify (/ 1 1) into 1 3.574 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.574 * [taylor]: Taking taylor expansion of n in f 3.574 * [backup-simplify]: Simplify n into n 3.574 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.574 * [backup-simplify]: Simplify (- 1) into -1 3.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.575 * [backup-simplify]: Simplify (+ 1 0) into 1 3.575 * [backup-simplify]: Simplify (/ -1 1) into -1 3.575 * [backup-simplify]: Simplify (* -1 -1) into 1 3.575 * [taylor]: Taking taylor expansion of 1 in n 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify 1 into 1 3.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.576 * [backup-simplify]: Simplify (- 0) into 0 3.576 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.577 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.577 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 3.577 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 3.577 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.577 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.577 * [taylor]: Taking taylor expansion of 2 in n 3.577 * [backup-simplify]: Simplify 2 into 2 3.577 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.577 * [taylor]: Taking taylor expansion of n in n 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 1 into 1 3.577 * [backup-simplify]: Simplify (/ 1 1) into 1 3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.579 * [backup-simplify]: Simplify (- 0) into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.580 * [backup-simplify]: Simplify (- 0) into 0 3.580 * [backup-simplify]: Simplify (+ 0 0) into 0 3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.581 * [backup-simplify]: Simplify (+ 0 0) into 0 3.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.582 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.582 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.582 * [taylor]: Taking taylor expansion of 2 in n 3.582 * [backup-simplify]: Simplify 2 into 2 3.583 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.583 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.583 * [taylor]: Taking taylor expansion of n in n 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [backup-simplify]: Simplify (* 1 1) into 1 3.583 * [backup-simplify]: Simplify (/ 1 1) into 1 3.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.586 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.587 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.587 * [backup-simplify]: Simplify (- 0) into 0 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.588 * [backup-simplify]: Simplify (- 0) into 0 3.588 * [backup-simplify]: Simplify (+ 0 0) into 0 3.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.589 * [backup-simplify]: Simplify (+ 0 0) into 0 3.590 * [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))) 3.591 * [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)))) 3.591 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.591 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.591 * [taylor]: Taking taylor expansion of 2 in n 3.591 * [backup-simplify]: Simplify 2 into 2 3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.591 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.591 * [taylor]: Taking taylor expansion of n in n 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [backup-simplify]: Simplify (* 1 1) into 1 3.591 * [backup-simplify]: Simplify (* 1 1) into 1 3.592 * [backup-simplify]: Simplify (/ 1 1) into 1 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (- 0) into 0 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify 1 into 1 3.597 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.597 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 3.597 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.597 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.597 * [taylor]: Taking taylor expansion of -1 in n 3.597 * [backup-simplify]: Simplify -1 into -1 3.597 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.597 * [taylor]: Taking taylor expansion of (+ n f) in n 3.597 * [taylor]: Taking taylor expansion of n in n 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify 1 into 1 3.598 * [taylor]: Taking taylor expansion of f in n 3.598 * [backup-simplify]: Simplify f into f 3.598 * [taylor]: Taking taylor expansion of (- f n) in n 3.598 * [taylor]: Taking taylor expansion of f in n 3.598 * [backup-simplify]: Simplify f into f 3.598 * [taylor]: Taking taylor expansion of n in n 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 1 into 1 3.598 * [backup-simplify]: Simplify (+ 0 f) into f 3.598 * [backup-simplify]: Simplify (- 0) into 0 3.598 * [backup-simplify]: Simplify (+ f 0) into f 3.598 * [backup-simplify]: Simplify (/ f f) into 1 3.598 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.598 * [taylor]: Taking taylor expansion of -1 in f 3.598 * [backup-simplify]: Simplify -1 into -1 3.598 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.598 * [taylor]: Taking taylor expansion of (+ n f) in f 3.598 * [taylor]: Taking taylor expansion of n in f 3.598 * [backup-simplify]: Simplify n into n 3.598 * [taylor]: Taking taylor expansion of f in f 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 1 into 1 3.598 * [taylor]: Taking taylor expansion of (- f n) in f 3.598 * [taylor]: Taking taylor expansion of f in f 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 1 into 1 3.598 * [taylor]: Taking taylor expansion of n in f 3.598 * [backup-simplify]: Simplify n into n 3.598 * [backup-simplify]: Simplify (+ n 0) into n 3.598 * [backup-simplify]: Simplify (- n) into (- n) 3.598 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.598 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.598 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.598 * [taylor]: Taking taylor expansion of -1 in f 3.598 * [backup-simplify]: Simplify -1 into -1 3.598 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.598 * [taylor]: Taking taylor expansion of (+ n f) in f 3.598 * [taylor]: Taking taylor expansion of n in f 3.598 * [backup-simplify]: Simplify n into n 3.598 * [taylor]: Taking taylor expansion of f in f 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 1 into 1 3.598 * [taylor]: Taking taylor expansion of (- f n) in f 3.598 * [taylor]: Taking taylor expansion of f in f 3.598 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [taylor]: Taking taylor expansion of n in f 3.599 * [backup-simplify]: Simplify n into n 3.599 * [backup-simplify]: Simplify (+ n 0) into n 3.599 * [backup-simplify]: Simplify (- n) into (- n) 3.599 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.599 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.599 * [backup-simplify]: Simplify (* -1 -1) into 1 3.599 * [taylor]: Taking taylor expansion of 1 in n 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (+ 0 1) into 1 3.600 * [backup-simplify]: Simplify (- 0) into 0 3.600 * [backup-simplify]: Simplify (+ 1 0) into 1 3.600 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.600 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.600 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.600 * [taylor]: Taking taylor expansion of 2 in n 3.600 * [backup-simplify]: Simplify 2 into 2 3.600 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.600 * [taylor]: Taking taylor expansion of n in n 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (/ 1 1) into 1 3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify (+ 0 0) into 0 3.602 * [backup-simplify]: Simplify (- 0) into 0 3.602 * [backup-simplify]: Simplify (+ 0 0) into 0 3.602 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.603 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.603 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.603 * [taylor]: Taking taylor expansion of 2 in n 3.603 * [backup-simplify]: Simplify 2 into 2 3.603 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.603 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.603 * [taylor]: Taking taylor expansion of n in n 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.603 * [backup-simplify]: Simplify (* 1 1) into 1 3.603 * [backup-simplify]: Simplify (/ 1 1) into 1 3.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.606 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (+ 0 0) into 0 3.608 * [backup-simplify]: Simplify (- 0) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.609 * [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)))) 3.610 * [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))) 3.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.610 * [taylor]: Taking taylor expansion of 2 in n 3.610 * [backup-simplify]: Simplify 2 into 2 3.610 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.610 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.610 * [taylor]: Taking taylor expansion of n in n 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [backup-simplify]: Simplify (* 1 1) into 1 3.610 * [backup-simplify]: Simplify (* 1 1) into 1 3.611 * [backup-simplify]: Simplify (/ 1 1) into 1 3.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 1 into 1 3.620 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.621 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.621 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.621 * [taylor]: Taking taylor expansion of -1 in n 3.621 * [backup-simplify]: Simplify -1 into -1 3.621 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.621 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.621 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.621 * [taylor]: Taking taylor expansion of f in n 3.621 * [backup-simplify]: Simplify f into f 3.621 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.621 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.621 * [taylor]: Taking taylor expansion of n in n 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (/ 1 1) into 1 3.621 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.621 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.621 * [taylor]: Taking taylor expansion of f in n 3.621 * [backup-simplify]: Simplify f into f 3.621 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.621 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.621 * [taylor]: Taking taylor expansion of n in n 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 1 into 1 3.622 * [backup-simplify]: Simplify (/ 1 1) into 1 3.622 * [backup-simplify]: Simplify (+ 0 1) into 1 3.623 * [backup-simplify]: Simplify (- 1) into -1 3.623 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.624 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.624 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.624 * [taylor]: Taking taylor expansion of -1 in f 3.624 * [backup-simplify]: Simplify -1 into -1 3.624 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.624 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.624 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.624 * [taylor]: Taking taylor expansion of f in f 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 1 into 1 3.624 * [backup-simplify]: Simplify (/ 1 1) into 1 3.624 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.624 * [taylor]: Taking taylor expansion of n in f 3.624 * [backup-simplify]: Simplify n into n 3.624 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.624 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.624 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.624 * [taylor]: Taking taylor expansion of f in f 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 1 into 1 3.625 * [backup-simplify]: Simplify (/ 1 1) into 1 3.625 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.625 * [taylor]: Taking taylor expansion of n in f 3.625 * [backup-simplify]: Simplify n into n 3.625 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.625 * [backup-simplify]: Simplify (+ 1 0) into 1 3.626 * [backup-simplify]: Simplify (+ 1 0) into 1 3.626 * [backup-simplify]: Simplify (/ 1 1) into 1 3.626 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.626 * [taylor]: Taking taylor expansion of -1 in f 3.626 * [backup-simplify]: Simplify -1 into -1 3.626 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.626 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.626 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.626 * [taylor]: Taking taylor expansion of f in f 3.626 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify 1 into 1 3.627 * [backup-simplify]: Simplify (/ 1 1) into 1 3.627 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.627 * [taylor]: Taking taylor expansion of n in f 3.627 * [backup-simplify]: Simplify n into n 3.627 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.627 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.627 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.627 * [taylor]: Taking taylor expansion of f in f 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [backup-simplify]: Simplify (/ 1 1) into 1 3.627 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.627 * [taylor]: Taking taylor expansion of n in f 3.628 * [backup-simplify]: Simplify n into n 3.628 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.628 * [backup-simplify]: Simplify (+ 1 0) into 1 3.628 * [backup-simplify]: Simplify (+ 1 0) into 1 3.629 * [backup-simplify]: Simplify (/ 1 1) into 1 3.629 * [backup-simplify]: Simplify (* -1 1) into -1 3.629 * [taylor]: Taking taylor expansion of -1 in n 3.629 * [backup-simplify]: Simplify -1 into -1 3.629 * [backup-simplify]: Simplify -1 into -1 3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.630 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.631 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.631 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.631 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.632 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.632 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.632 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.632 * [taylor]: Taking taylor expansion of 2 in n 3.632 * [backup-simplify]: Simplify 2 into 2 3.632 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.632 * [taylor]: Taking taylor expansion of n in n 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [backup-simplify]: Simplify (/ 1 1) into 1 3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.634 * [backup-simplify]: Simplify (- 0) into 0 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.636 * [backup-simplify]: Simplify (+ 0 0) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.637 * [backup-simplify]: Simplify (- 0) into 0 3.638 * [backup-simplify]: Simplify (+ 0 0) into 0 3.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.639 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.640 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.640 * [taylor]: Taking taylor expansion of 2 in n 3.640 * [backup-simplify]: Simplify 2 into 2 3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.640 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.640 * [taylor]: Taking taylor expansion of n in n 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 1 into 1 3.640 * [backup-simplify]: Simplify (* 1 1) into 1 3.640 * [backup-simplify]: Simplify (/ 1 1) into 1 3.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.645 * [backup-simplify]: Simplify (- 0) into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.647 * [backup-simplify]: Simplify (- 0) into 0 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.649 * [backup-simplify]: Simplify (+ 0 0) into 0 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.650 * [backup-simplify]: Simplify (- 0) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [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))) 3.660 * [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)))) 3.660 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.660 * [taylor]: Taking taylor expansion of 2 in n 3.660 * [backup-simplify]: Simplify 2 into 2 3.660 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.660 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.660 * [taylor]: Taking taylor expansion of n in n 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify 1 into 1 3.661 * [backup-simplify]: Simplify (* 1 1) into 1 3.661 * [backup-simplify]: Simplify (* 1 1) into 1 3.661 * [backup-simplify]: Simplify (/ 1 1) into 1 3.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.671 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.671 * [backup-simplify]: Simplify (- 0) into 0 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify -1 into -1 3.671 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.671 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.671 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.672 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.672 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.672 * [taylor]: Taking taylor expansion of f in n 3.672 * [backup-simplify]: Simplify f into f 3.672 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.672 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.672 * [taylor]: Taking taylor expansion of n in n 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (/ 1 1) into 1 3.672 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.672 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.672 * [taylor]: Taking taylor expansion of n in n 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.673 * [backup-simplify]: Simplify (/ 1 1) into 1 3.673 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.673 * [taylor]: Taking taylor expansion of f in n 3.673 * [backup-simplify]: Simplify f into f 3.673 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.673 * [backup-simplify]: Simplify (+ 0 1) into 1 3.674 * [backup-simplify]: Simplify (+ 1 0) into 1 3.674 * [backup-simplify]: Simplify (/ 1 1) into 1 3.674 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.674 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.674 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.674 * [taylor]: Taking taylor expansion of f in f 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 1 into 1 3.675 * [backup-simplify]: Simplify (/ 1 1) into 1 3.675 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.675 * [taylor]: Taking taylor expansion of n in f 3.675 * [backup-simplify]: Simplify n into n 3.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.675 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.675 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.675 * [taylor]: Taking taylor expansion of n in f 3.675 * [backup-simplify]: Simplify n into n 3.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.675 * [taylor]: Taking taylor expansion of f in f 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [backup-simplify]: Simplify (/ 1 1) into 1 3.676 * [backup-simplify]: Simplify (+ 1 0) into 1 3.676 * [backup-simplify]: Simplify (- 1) into -1 3.677 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.677 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.677 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.677 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.677 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.677 * [taylor]: Taking taylor expansion of f in f 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (/ 1 1) into 1 3.678 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.678 * [taylor]: Taking taylor expansion of n in f 3.678 * [backup-simplify]: Simplify n into n 3.678 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.678 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.678 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.678 * [taylor]: Taking taylor expansion of n in f 3.678 * [backup-simplify]: Simplify n into n 3.678 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.678 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.678 * [taylor]: Taking taylor expansion of f in f 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [backup-simplify]: Simplify (+ 1 0) into 1 3.679 * [backup-simplify]: Simplify (- 1) into -1 3.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.680 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.680 * [taylor]: Taking taylor expansion of -1 in n 3.680 * [backup-simplify]: Simplify -1 into -1 3.680 * [backup-simplify]: Simplify -1 into -1 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (- 0) into 0 3.682 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.683 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.683 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.683 * [taylor]: Taking taylor expansion of 2 in n 3.683 * [backup-simplify]: Simplify 2 into 2 3.683 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.683 * [taylor]: Taking taylor expansion of n in n 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [backup-simplify]: Simplify (/ 1 1) into 1 3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.685 * [backup-simplify]: Simplify (- 0) into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.687 * [backup-simplify]: Simplify (+ 0 0) into 0 3.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (- 0) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.690 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.690 * [taylor]: Taking taylor expansion of 2 in n 3.690 * [backup-simplify]: Simplify 2 into 2 3.690 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.690 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.690 * [taylor]: Taking taylor expansion of n in n 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [backup-simplify]: Simplify (* 1 1) into 1 3.691 * [backup-simplify]: Simplify (/ 1 1) into 1 3.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.695 * [backup-simplify]: Simplify (- 0) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.697 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.697 * [backup-simplify]: Simplify (- 0) into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.699 * [backup-simplify]: Simplify (+ 0 0) into 0 3.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (- 0) into 0 3.701 * [backup-simplify]: Simplify (+ 0 0) into 0 3.702 * [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)))) 3.703 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.703 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.703 * [taylor]: Taking taylor expansion of 2 in n 3.703 * [backup-simplify]: Simplify 2 into 2 3.703 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.703 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.703 * [taylor]: Taking taylor expansion of n in n 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (* 1 1) into 1 3.703 * [backup-simplify]: Simplify (* 1 1) into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.713 * [backup-simplify]: Simplify (- 0) into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify -1 into -1 3.713 * * * [progress]: simplifying candidates 3.714 * * * * [progress]: [ 1 / 180 ] simplifiying candidate # 3.714 * * * * [progress]: [ 2 / 180 ] simplifiying candidate # 3.714 * * * * [progress]: [ 3 / 180 ] simplifiying candidate # 3.714 * * * * [progress]: [ 4 / 180 ] simplifiying candidate # 3.714 * * * * [progress]: [ 5 / 180 ] simplifiying candidate # 3.714 * * * * [progress]: [ 6 / 180 ] simplifiying candidate # 3.714 * * * * [progress]: [ 7 / 180 ] simplifiying candidate # 3.714 * * * * [progress]: [ 8 / 180 ] 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[progress]: [ 24 / 180 ] simplifiying candidate # 3.715 * * * * [progress]: [ 25 / 180 ] simplifiying candidate # 3.715 * * * * [progress]: [ 26 / 180 ] simplifiying candidate # 3.715 * * * * [progress]: [ 27 / 180 ] simplifiying candidate # 3.715 * * * * [progress]: [ 28 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 29 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 30 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 31 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 32 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 33 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 34 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 35 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 36 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 37 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 38 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 39 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 40 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 41 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 42 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 43 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 44 / 180 ] simplifiying candidate # 3.716 * * * * [progress]: [ 45 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 46 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 47 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 48 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 49 / 180 ] simplifiying candidate #real (real->posit16 (/ (- f n) (+ f n))))))> 3.717 * * * * [progress]: [ 50 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 51 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 52 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 53 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 54 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 55 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 56 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 57 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 58 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 59 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 60 / 180 ] simplifiying candidate # 3.717 * * * * [progress]: [ 61 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 62 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 63 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 64 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 65 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 66 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 67 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 68 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 69 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 70 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 71 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 72 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 73 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 74 / 180 ] simplifiying candidate # 3.718 * * * * [progress]: [ 75 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 76 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 77 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 78 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 79 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 80 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 81 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 82 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 83 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 84 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 85 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 86 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 87 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 88 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 89 / 180 ] simplifiying candidate # 3.719 * * * * [progress]: [ 90 / 180 ] simplifiying candidate # 3.720 * * * * [progress]: [ 91 / 180 ] simplifiying candidate # 3.720 * * * * [progress]: [ 92 / 180 ] simplifiying candidate # 3.720 * * * * [progress]: [ 93 / 180 ] simplifiying candidate # 3.720 * * * * [progress]: [ 94 / 180 ] simplifiying candidate # 3.720 * * * * [progress]: [ 95 / 180 ] simplifiying candidate # 3.720 * * * * [progress]: [ 96 / 180 ] simplifiying candidate # 3.720 * * * * [progress]: [ 97 / 180 ] simplifiying candidate # 3.720 * * * * [progress]: [ 98 / 180 ] simplifiying candidate # 3.720 * * * * [progress]: [ 99 / 180 ] simplifiying candidate # 3.720 * * * * [progress]: [ 100 / 180 ] simplifiying candidate # 3.720 * * * * [progress]: [ 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candidate # 3.721 * * * * [progress]: [ 117 / 180 ] simplifiying candidate # 3.721 * * * * [progress]: [ 118 / 180 ] simplifiying candidate # 3.721 * * * * [progress]: [ 119 / 180 ] simplifiying candidate # 3.721 * * * * [progress]: [ 120 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 121 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 122 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 123 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 124 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 125 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 126 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 127 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 128 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 129 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 130 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 131 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 132 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 133 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 134 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 135 / 180 ] simplifiying candidate # 3.722 * * * * [progress]: [ 136 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 137 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 138 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 139 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 140 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 141 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 142 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 143 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 144 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 145 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 146 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 147 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 148 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 149 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 150 / 180 ] simplifiying candidate # 3.723 * * * * [progress]: [ 151 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 152 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 153 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 154 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 155 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 156 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 157 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 158 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 159 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 160 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 161 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 162 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 163 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 164 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 165 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 166 / 180 ] simplifiying candidate # 3.724 * * * * [progress]: [ 167 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 168 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 169 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 170 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 171 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 172 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 173 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 174 / 180 ] simplifiying candidate #real (real->posit16 (/ -1 (/ (- f n) (+ f n))))))> 3.725 * * * * [progress]: [ 175 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 176 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 177 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 178 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 179 / 180 ] simplifiying candidate # 3.725 * * * * [progress]: [ 180 / 180 ] simplifiying candidate # 3.729 * [simplify]: Simplifying: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (real->posit16 (/ (- f n) (+ f n))) (expm1 (/ -1 (/ (- f n) (+ f n)))) (log1p (/ -1 (/ (- f n) (+ f n)))) (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (cbrt -1) (/ 1 (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (cbrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n)))) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (sqrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (sqrt (- f n)) 1)) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (/ (sqrt (- f n)) 1)) (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (/ (- f n) (+ f n))) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (/ 1 (+ f n))) (/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (sqrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (sqrt -1) (/ (- f n) (- (* f f) (* n n)))) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (cbrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 1) (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (/ -1 (/ 1 (+ f n))) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (+ (* f f) (- (* n n) (* f n)))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) (real->posit16 (/ -1 (/ (- f n) (+ f n)))) -1 1 1 1 -1 -1 3.735 * * [simplify]: iteration 1: (225 enodes) 3.814 * * [simplify]: iteration 2: (587 enodes) 4.092 * * [simplify]: iteration 3: (1735 enodes) 6.114 * * [simplify]: Extracting #0: cost 172 inf + 0 6.120 * * [simplify]: Extracting #1: cost 1075 inf + 2 6.134 * * [simplify]: Extracting #2: cost 1722 inf + 5888 6.173 * * [simplify]: Extracting #3: cost 803 inf + 183941 6.259 * * [simplify]: Extracting #4: cost 64 inf + 364538 6.356 * * [simplify]: Extracting #5: cost 5 inf + 382735 6.439 * * [simplify]: Extracting #6: cost 2 inf + 383199 6.530 * * [simplify]: Extracting #7: cost 0 inf + 383623 6.622 * [simplify]: Simplified to: (expm1 (/ (- f n) (+ n f))) (log1p (/ (- f n) (+ n f))) (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 n))) (/ (cbrt (- f n)) (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (/ (sqrt (- 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)) (/ (sqrt (- f n)) (+ n f)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) 1 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ (+ (sqrt n) (sqrt f)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ n f))) (/ (+ (sqrt n) (sqrt f)) (sqrt (+ n f))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ n f))) (+ (sqrt n) (sqrt f)) (/ (- (sqrt f) (sqrt n)) (+ n f)) (+ (sqrt n) (sqrt f)) (/ (- (sqrt f) (sqrt n)) (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) 1 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ 1 (+ n f)) (/ (+ n f) (- f n)) (/ (- f n) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (sqrt (+ n f))) (- f n) (- f n) (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (- f n)) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- f n)) (/ (- f n) (fma (* n n) n (* (* f f) f))) (/ (- f n) (* (- f n) (+ n f))) (* (fma f f (* (+ n f) n)) (+ n f)) (* (+ n f) (+ n f)) (real->posit16 (/ (- f n) (+ n f))) (expm1 (- (/ (+ n f) (- f n)))) (log1p (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (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)))) (* (- (/ (+ 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)))) 1 (- (/ (- f n) (+ n f))) (* (/ (cbrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (cbrt -1) (cbrt (/ (- f n) (+ n f))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ n f)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ n f)))) (* (/ (* (cbrt -1) (cbrt (+ n f))) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt (+ n f))) (cbrt (- f n)))) (/ (* (cbrt -1) (cbrt (+ n f))) (cbrt (- f n))) (* (/ (cbrt -1) (cbrt (- f n))) (* (/ (cbrt -1) (cbrt (- f n))) (sqrt (+ n f)))) (* (/ (cbrt -1) (cbrt (- f n))) (sqrt (+ n f))) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (* (+ n f) (cbrt -1)) (cbrt (- f n))) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (* (+ n f) (cbrt -1)) (cbrt (- f n))) (/ (cbrt -1) (/ (/ (sqrt (- f n)) (cbrt -1)) (* (cbrt (+ n f)) (cbrt (+ n f))))) (* (/ (cbrt -1) (sqrt (- f n))) (cbrt (+ n f))) (/ (* (cbrt -1) (sqrt (+ n f))) (/ (sqrt (- f n)) (cbrt -1))) (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ n f)))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt -1))) (/ (cbrt -1) (/ (sqrt (- f n)) (+ n f))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt -1))) (/ (cbrt -1) (/ (sqrt (- f n)) (+ n f))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt -1) (cbrt -1))) (* (/ (cbrt -1) (- f n)) (cbrt (+ n f))) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (/ (* (cbrt -1) (sqrt (+ n f))) (- f n)) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (/ (- f n) (+ n f))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (/ (- f n) (+ n f))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f)))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ n f)))) (/ (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ n f)))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (* (+ n f) (/ (cbrt -1) (- (sqrt f) (sqrt n)))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (* (+ n f) (/ (cbrt -1) (- (sqrt f) (sqrt n)))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt -1) (cbrt -1))) (* (/ (cbrt -1) (- f n)) (cbrt (+ n f))) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (/ (* (cbrt -1) (sqrt (+ n f))) (- f n)) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (/ (- f n) (+ n f))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (/ (- f n) (+ n f))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (/ (- f n) (+ n f))) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ n f) (cbrt -1)) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (fma (* n n) n (* (* f f) f)))) (/ (cbrt -1) (fma n (- n f) (* f f))) (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ n f) (- f n))) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ (sqrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f))))) (* (/ (sqrt -1) (cbrt (- f n))) (cbrt (+ n f))) (/ (/ (sqrt -1) (cbrt (- f n))) (/ (cbrt (- f n)) (sqrt (+ n f)))) (* (/ (sqrt -1) (cbrt (- f n))) (sqrt (+ n f))) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt -1) (/ (cbrt (- f n)) (+ n f))) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt -1) (/ (cbrt (- f n)) (+ n f))) (/ (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (sqrt (- f n))) (/ (* (cbrt (+ n f)) (sqrt -1)) (sqrt (- f n))) (/ (* (sqrt -1) (sqrt (+ n f))) (sqrt (- f n))) (/ (* (sqrt -1) (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (* (sqrt -1) (+ n f)) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (* (sqrt -1) (+ n f)) (sqrt (- f n))) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (/ (* (cbrt (+ n f)) (sqrt -1)) (- f n)) (* (sqrt -1) (sqrt (+ n f))) (* (/ (sqrt -1) (- f n)) (sqrt (+ n f))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ n f))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ n f))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (sqrt -1) (+ (sqrt n) (sqrt f)))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ n f)))) (/ (* (sqrt -1) (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ n f)))) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ n f)) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ n f)) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (/ (* (cbrt (+ n f)) (sqrt -1)) (- f n)) (* (sqrt -1) (sqrt (+ n f))) (* (/ (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)) (* (sqrt -1) (+ n f)) (* (/ (sqrt -1) (- f n)) (fma (* n n) n (* (* f f) f))) (/ (sqrt -1) (fma n (- n f) (* f f))) (* (* (- f n) (+ n f)) (/ (sqrt -1) (- 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 (/ 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(sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (- f) n) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (- 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 (- (/ (+ n f) (- f n))) 1 (- (/ (+ n f) (- f n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (- f n)) (- (- f) n) (/ (fma (* n n) n (* (* f f) f)) (- f n)) (/ -1 (fma n (- n f) (* f f))) (* (/ (+ n f) (- 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 n) (sqrt f))) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 -1 (/ -1 (- f n)) (/ (- (fma (* n n) n (* (* f f) f))) (- f n)) (/ (- (* (- f n) (+ n f))) (- f n)) (/ (- f n) (* (cbrt -1) (+ n f))) (/ (/ (- f n) (+ n f)) (sqrt -1)) (/ (- f n) (- (- f) n)) (/ -1 (- f n)) (real->posit16 (- (/ (+ n f) (- f n)))) -1 1 1 1 -1 -1 6.636 * * * [progress]: adding candidates to table 8.085 * * [progress]: iteration 3 / 4 8.085 * * * [progress]: picking best candidate 8.101 * * * * [pick]: Picked # 8.101 * * * [progress]: localizing error 8.137 * * * [progress]: generating rewritten candidates 8.137 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 8.168 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 8.220 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.256 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.281 * * * [progress]: generating series expansions 8.282 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 8.282 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 8.282 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 8.282 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 8.282 * [taylor]: Taking taylor expansion of (- f n) in n 8.282 * [taylor]: Taking taylor expansion of f in n 8.282 * [backup-simplify]: Simplify f into f 8.282 * [taylor]: Taking taylor expansion of n in n 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify 1 into 1 8.282 * [taylor]: Taking taylor expansion of (+ n f) in n 8.282 * [taylor]: Taking taylor expansion of n in n 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify 1 into 1 8.282 * [taylor]: Taking taylor expansion of f in n 8.282 * [backup-simplify]: Simplify f into f 8.282 * [backup-simplify]: Simplify (- 0) into 0 8.283 * [backup-simplify]: Simplify (+ f 0) into f 8.283 * [backup-simplify]: Simplify (+ 0 f) into f 8.283 * [backup-simplify]: Simplify (/ f f) into 1 8.283 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 8.283 * [taylor]: Taking taylor expansion of (- f n) in f 8.283 * [taylor]: Taking taylor expansion of f in f 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 1 into 1 8.283 * [taylor]: Taking taylor expansion of n in f 8.283 * [backup-simplify]: Simplify n into n 8.283 * [taylor]: Taking taylor expansion of (+ n f) in f 8.283 * [taylor]: Taking taylor expansion of n in f 8.283 * [backup-simplify]: Simplify n into n 8.283 * [taylor]: Taking taylor expansion of f in f 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 1 into 1 8.283 * [backup-simplify]: Simplify (- n) into (- n) 8.283 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.283 * [backup-simplify]: Simplify (+ n 0) into n 8.283 * [backup-simplify]: Simplify (/ (- n) n) into -1 8.283 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 8.283 * [taylor]: Taking taylor expansion of (- f n) in f 8.283 * [taylor]: Taking taylor expansion of f in f 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 1 into 1 8.283 * [taylor]: Taking taylor expansion of n in f 8.283 * [backup-simplify]: Simplify n into n 8.283 * [taylor]: Taking taylor expansion of (+ n f) in f 8.283 * [taylor]: Taking taylor expansion of n in f 8.283 * [backup-simplify]: Simplify n into n 8.283 * [taylor]: Taking taylor expansion of f in f 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 1 into 1 8.283 * [backup-simplify]: Simplify (- n) into (- n) 8.283 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.283 * [backup-simplify]: Simplify (+ n 0) into n 8.283 * [backup-simplify]: Simplify (/ (- n) n) into -1 8.283 * [taylor]: Taking taylor expansion of -1 in n 8.284 * [backup-simplify]: Simplify -1 into -1 8.284 * [backup-simplify]: Simplify -1 into -1 8.284 * [backup-simplify]: Simplify (- 0) into 0 8.284 * [backup-simplify]: Simplify (+ 1 0) into 1 8.285 * [backup-simplify]: Simplify (+ 0 1) into 1 8.285 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 8.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.285 * [taylor]: Taking taylor expansion of 2 in n 8.285 * [backup-simplify]: Simplify 2 into 2 8.285 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.285 * [taylor]: Taking taylor expansion of n in n 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.286 * [backup-simplify]: Simplify (/ 1 1) into 1 8.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.287 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.287 * [backup-simplify]: Simplify 0 into 0 8.287 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify (- 0) into 0 8.288 * [backup-simplify]: Simplify (+ 0 0) into 0 8.288 * [backup-simplify]: Simplify (+ 0 0) into 0 8.289 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 8.289 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.289 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.289 * [taylor]: Taking taylor expansion of 2 in n 8.289 * [backup-simplify]: Simplify 2 into 2 8.289 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.289 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.289 * [taylor]: Taking taylor expansion of n in n 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 1 into 1 8.289 * [backup-simplify]: Simplify (* 1 1) into 1 8.290 * [backup-simplify]: Simplify (/ 1 1) into 1 8.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.294 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.294 * [backup-simplify]: Simplify (- 0) into 0 8.294 * [backup-simplify]: Simplify 0 into 0 8.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.296 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify (- 0) into 0 8.297 * [backup-simplify]: Simplify (+ 0 0) into 0 8.297 * [backup-simplify]: Simplify (+ 0 0) into 0 8.298 * [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))) 8.298 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.298 * [taylor]: Taking taylor expansion of 2 in n 8.298 * [backup-simplify]: Simplify 2 into 2 8.298 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.298 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.298 * [taylor]: Taking taylor expansion of n in n 8.298 * [backup-simplify]: Simplify 0 into 0 8.298 * [backup-simplify]: Simplify 1 into 1 8.298 * [backup-simplify]: Simplify (* 1 1) into 1 8.299 * [backup-simplify]: Simplify (* 1 1) into 1 8.299 * [backup-simplify]: Simplify (/ 1 1) into 1 8.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.308 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.308 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify -1 into -1 8.308 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 8.308 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 8.308 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 8.308 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.308 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.308 * [taylor]: Taking taylor expansion of f in n 8.308 * [backup-simplify]: Simplify f into f 8.308 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.308 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.308 * [taylor]: Taking taylor expansion of n in n 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify 1 into 1 8.309 * [backup-simplify]: Simplify (/ 1 1) into 1 8.309 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.309 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.309 * [taylor]: Taking taylor expansion of f in n 8.309 * [backup-simplify]: Simplify f into f 8.309 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.309 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.309 * [taylor]: Taking taylor expansion of n in n 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify 1 into 1 8.310 * [backup-simplify]: Simplify (/ 1 1) into 1 8.310 * [backup-simplify]: Simplify (- 1) into -1 8.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.311 * [backup-simplify]: Simplify (+ 0 1) into 1 8.311 * [backup-simplify]: Simplify (/ -1 1) into -1 8.311 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 8.311 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.311 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.311 * [taylor]: Taking taylor expansion of f in f 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.311 * [backup-simplify]: Simplify (/ 1 1) into 1 8.312 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.312 * [taylor]: Taking taylor expansion of n in f 8.312 * [backup-simplify]: Simplify n into n 8.312 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.312 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.312 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.312 * [taylor]: Taking taylor expansion of f in f 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (/ 1 1) into 1 8.312 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.312 * [taylor]: Taking taylor expansion of n in f 8.312 * [backup-simplify]: Simplify n into n 8.312 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.312 * [backup-simplify]: Simplify (+ 1 0) into 1 8.313 * [backup-simplify]: Simplify (+ 1 0) into 1 8.313 * [backup-simplify]: Simplify (/ 1 1) into 1 8.313 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 8.313 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.313 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.313 * [taylor]: Taking taylor expansion of f in f 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (/ 1 1) into 1 8.313 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.313 * [taylor]: Taking taylor expansion of n in f 8.313 * [backup-simplify]: Simplify n into n 8.313 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.313 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.313 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.313 * [taylor]: Taking taylor expansion of f in f 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.314 * [backup-simplify]: Simplify (/ 1 1) into 1 8.314 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.314 * [taylor]: Taking taylor expansion of n in f 8.314 * [backup-simplify]: Simplify n into n 8.314 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.314 * [backup-simplify]: Simplify (+ 1 0) into 1 8.314 * [backup-simplify]: Simplify (+ 1 0) into 1 8.314 * [backup-simplify]: Simplify (/ 1 1) into 1 8.314 * [taylor]: Taking taylor expansion of 1 in n 8.314 * [backup-simplify]: Simplify 1 into 1 8.315 * [backup-simplify]: Simplify 1 into 1 8.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.315 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.315 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.316 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.316 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 8.316 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.316 * [taylor]: Taking taylor expansion of 2 in n 8.316 * [backup-simplify]: Simplify 2 into 2 8.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.316 * [taylor]: Taking taylor expansion of n in n 8.316 * [backup-simplify]: Simplify 0 into 0 8.316 * [backup-simplify]: Simplify 1 into 1 8.316 * [backup-simplify]: Simplify (/ 1 1) into 1 8.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.317 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.317 * [backup-simplify]: Simplify (- 0) into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.318 * [backup-simplify]: Simplify (- 0) into 0 8.318 * [backup-simplify]: Simplify (+ 0 0) into 0 8.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.319 * [backup-simplify]: Simplify (+ 0 0) into 0 8.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 8.320 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.320 * [taylor]: Taking taylor expansion of 2 in n 8.320 * [backup-simplify]: Simplify 2 into 2 8.320 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.320 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.320 * [taylor]: Taking taylor expansion of n in n 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify 1 into 1 8.320 * [backup-simplify]: Simplify (* 1 1) into 1 8.320 * [backup-simplify]: Simplify (/ 1 1) into 1 8.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.324 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.325 * [backup-simplify]: Simplify (- 0) into 0 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.326 * [backup-simplify]: Simplify (- 0) into 0 8.326 * [backup-simplify]: Simplify (+ 0 0) into 0 8.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.327 * [backup-simplify]: Simplify (+ 0 0) into 0 8.328 * [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)))) 8.328 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.328 * [taylor]: Taking taylor expansion of 2 in n 8.328 * [backup-simplify]: Simplify 2 into 2 8.328 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.328 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.328 * [taylor]: Taking taylor expansion of n in n 8.328 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify 1 into 1 8.332 * [backup-simplify]: Simplify (* 1 1) into 1 8.332 * [backup-simplify]: Simplify (* 1 1) into 1 8.332 * [backup-simplify]: Simplify (/ 1 1) into 1 8.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (- 0) into 0 8.338 * [backup-simplify]: Simplify 0 into 0 8.338 * [backup-simplify]: Simplify 1 into 1 8.338 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 8.338 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 8.338 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 8.338 * [taylor]: Taking taylor expansion of -1 in n 8.338 * [backup-simplify]: Simplify -1 into -1 8.338 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 8.338 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.338 * [taylor]: Taking taylor expansion of n in n 8.338 * [backup-simplify]: Simplify 0 into 0 8.338 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (/ 1 1) into 1 8.339 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.339 * [taylor]: Taking taylor expansion of f in n 8.339 * [backup-simplify]: Simplify f into f 8.339 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.339 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.339 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.339 * [taylor]: Taking taylor expansion of f in n 8.339 * [backup-simplify]: Simplify f into f 8.339 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.339 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.339 * [taylor]: Taking taylor expansion of n in n 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (/ 1 1) into 1 8.339 * [backup-simplify]: Simplify (+ 1 0) into 1 8.340 * [backup-simplify]: Simplify (+ 0 1) into 1 8.340 * [backup-simplify]: Simplify (/ 1 1) into 1 8.340 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 8.340 * [taylor]: Taking taylor expansion of -1 in f 8.340 * [backup-simplify]: Simplify -1 into -1 8.340 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 8.340 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.340 * [taylor]: Taking taylor expansion of n in f 8.340 * [backup-simplify]: Simplify n into n 8.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.340 * [taylor]: Taking taylor expansion of f in f 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [backup-simplify]: Simplify (/ 1 1) into 1 8.340 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.341 * [taylor]: Taking taylor expansion of f in f 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 1 into 1 8.341 * [backup-simplify]: Simplify (/ 1 1) into 1 8.341 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.341 * [taylor]: Taking taylor expansion of n in f 8.341 * [backup-simplify]: Simplify n into n 8.341 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.341 * [backup-simplify]: Simplify (- 1) into -1 8.341 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.342 * [backup-simplify]: Simplify (+ 1 0) into 1 8.342 * [backup-simplify]: Simplify (/ -1 1) into -1 8.342 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 8.342 * [taylor]: Taking taylor expansion of -1 in f 8.342 * [backup-simplify]: Simplify -1 into -1 8.342 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 8.342 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.342 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.342 * [taylor]: Taking taylor expansion of n in f 8.342 * [backup-simplify]: Simplify n into n 8.342 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.342 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.342 * [taylor]: Taking taylor expansion of f in f 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 1 into 1 8.342 * [backup-simplify]: Simplify (/ 1 1) into 1 8.342 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.342 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.342 * [taylor]: Taking taylor expansion of f in f 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 1 into 1 8.343 * [backup-simplify]: Simplify (/ 1 1) into 1 8.343 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.343 * [taylor]: Taking taylor expansion of n in f 8.343 * [backup-simplify]: Simplify n into n 8.343 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.343 * [backup-simplify]: Simplify (- 1) into -1 8.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.344 * [backup-simplify]: Simplify (+ 1 0) into 1 8.344 * [backup-simplify]: Simplify (/ -1 1) into -1 8.345 * [backup-simplify]: Simplify (* -1 -1) into 1 8.345 * [taylor]: Taking taylor expansion of 1 in n 8.345 * [backup-simplify]: Simplify 1 into 1 8.345 * [backup-simplify]: Simplify 1 into 1 8.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.346 * [backup-simplify]: Simplify (- 0) into 0 8.346 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.347 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.347 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 8.347 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 8.347 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.347 * [taylor]: Taking taylor expansion of 2 in n 8.347 * [backup-simplify]: Simplify 2 into 2 8.347 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.348 * [taylor]: Taking taylor expansion of n in n 8.348 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify 1 into 1 8.348 * [backup-simplify]: Simplify (/ 1 1) into 1 8.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.349 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.350 * [backup-simplify]: Simplify (- 0) into 0 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.351 * [backup-simplify]: Simplify (- 0) into 0 8.352 * [backup-simplify]: Simplify (+ 0 0) into 0 8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.353 * [backup-simplify]: Simplify (+ 0 0) into 0 8.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.355 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.356 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.356 * [taylor]: Taking taylor expansion of 2 in n 8.356 * [backup-simplify]: Simplify 2 into 2 8.356 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.356 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.356 * [taylor]: Taking taylor expansion of n in n 8.356 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify 1 into 1 8.356 * [backup-simplify]: Simplify (* 1 1) into 1 8.356 * [backup-simplify]: Simplify (/ 1 1) into 1 8.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.363 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.363 * [backup-simplify]: Simplify (- 0) into 0 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.365 * [backup-simplify]: Simplify (- 0) into 0 8.365 * [backup-simplify]: Simplify (+ 0 0) into 0 8.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.367 * [backup-simplify]: Simplify (+ 0 0) into 0 8.368 * [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))) 8.369 * [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)))) 8.369 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.369 * [taylor]: Taking taylor expansion of 2 in n 8.369 * [backup-simplify]: Simplify 2 into 2 8.369 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.369 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.369 * [taylor]: Taking taylor expansion of n in n 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 1 into 1 8.370 * [backup-simplify]: Simplify (* 1 1) into 1 8.370 * [backup-simplify]: Simplify (* 1 1) into 1 8.370 * [backup-simplify]: Simplify (/ 1 1) into 1 8.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.380 * [backup-simplify]: Simplify (- 0) into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 1 into 1 8.380 * * * * [progress]: [ 2 / 4 ] generating series at (2) 8.380 * [backup-simplify]: Simplify (/ -1 (log (exp (/ (- f n) (+ f n))))) into (* -1 (/ (+ n f) (- f n))) 8.380 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 8.380 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.380 * [taylor]: Taking taylor expansion of -1 in n 8.380 * [backup-simplify]: Simplify -1 into -1 8.380 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.380 * [taylor]: Taking taylor expansion of (+ n f) in n 8.380 * [taylor]: Taking taylor expansion of n in n 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 1 into 1 8.380 * [taylor]: Taking taylor expansion of f in n 8.381 * [backup-simplify]: Simplify f into f 8.381 * [taylor]: Taking taylor expansion of (- f n) in n 8.381 * [taylor]: Taking taylor expansion of f in n 8.381 * [backup-simplify]: Simplify f into f 8.381 * [taylor]: Taking taylor expansion of n in n 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 1 into 1 8.381 * [backup-simplify]: Simplify (+ 0 f) into f 8.381 * [backup-simplify]: Simplify (- 0) into 0 8.381 * [backup-simplify]: Simplify (+ f 0) into f 8.381 * [backup-simplify]: Simplify (/ f f) into 1 8.381 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.381 * [taylor]: Taking taylor expansion of -1 in f 8.381 * [backup-simplify]: Simplify -1 into -1 8.381 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.381 * [taylor]: Taking taylor expansion of (+ n f) in f 8.381 * [taylor]: Taking taylor expansion of n in f 8.381 * [backup-simplify]: Simplify n into n 8.381 * [taylor]: Taking taylor expansion of f in f 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 1 into 1 8.381 * [taylor]: Taking taylor expansion of (- f n) in f 8.381 * [taylor]: Taking taylor expansion of f in f 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 1 into 1 8.382 * [taylor]: Taking taylor expansion of n in f 8.382 * [backup-simplify]: Simplify n into n 8.382 * [backup-simplify]: Simplify (+ n 0) into n 8.382 * [backup-simplify]: Simplify (- n) into (- n) 8.382 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.382 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.382 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.382 * [taylor]: Taking taylor expansion of -1 in f 8.382 * [backup-simplify]: Simplify -1 into -1 8.382 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.382 * [taylor]: Taking taylor expansion of (+ n f) in f 8.382 * [taylor]: Taking taylor expansion of n in f 8.382 * [backup-simplify]: Simplify n into n 8.382 * [taylor]: Taking taylor expansion of f in f 8.382 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify 1 into 1 8.382 * [taylor]: Taking taylor expansion of (- f n) in f 8.382 * [taylor]: Taking taylor expansion of f in f 8.382 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify 1 into 1 8.382 * [taylor]: Taking taylor expansion of n in f 8.382 * [backup-simplify]: Simplify n into n 8.382 * [backup-simplify]: Simplify (+ n 0) into n 8.382 * [backup-simplify]: Simplify (- n) into (- n) 8.382 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.382 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.383 * [backup-simplify]: Simplify (* -1 -1) into 1 8.383 * [taylor]: Taking taylor expansion of 1 in n 8.383 * [backup-simplify]: Simplify 1 into 1 8.383 * [backup-simplify]: Simplify 1 into 1 8.383 * [backup-simplify]: Simplify (+ 0 1) into 1 8.384 * [backup-simplify]: Simplify (- 0) into 0 8.384 * [backup-simplify]: Simplify (+ 1 0) into 1 8.384 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.385 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.385 * [taylor]: Taking taylor expansion of 2 in n 8.385 * [backup-simplify]: Simplify 2 into 2 8.385 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.385 * [taylor]: Taking taylor expansion of n in n 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [backup-simplify]: Simplify (/ 1 1) into 1 8.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.387 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify (+ 0 0) into 0 8.387 * [backup-simplify]: Simplify (- 0) into 0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.388 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.389 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.389 * [taylor]: Taking taylor expansion of 2 in n 8.389 * [backup-simplify]: Simplify 2 into 2 8.389 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.389 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.389 * [taylor]: Taking taylor expansion of n in n 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 1 into 1 8.389 * [backup-simplify]: Simplify (* 1 1) into 1 8.390 * [backup-simplify]: Simplify (/ 1 1) into 1 8.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.396 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify (+ 0 0) into 0 8.397 * [backup-simplify]: Simplify (- 0) into 0 8.397 * [backup-simplify]: Simplify (+ 0 0) into 0 8.398 * [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)))) 8.398 * [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))) 8.398 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.399 * [taylor]: Taking taylor expansion of 2 in n 8.399 * [backup-simplify]: Simplify 2 into 2 8.399 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.399 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.399 * [taylor]: Taking taylor expansion of n in n 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.399 * [backup-simplify]: Simplify (* 1 1) into 1 8.400 * [backup-simplify]: Simplify (* 1 1) into 1 8.400 * [backup-simplify]: Simplify (/ 1 1) into 1 8.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.409 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.409 * [backup-simplify]: Simplify 0 into 0 8.409 * [backup-simplify]: Simplify 1 into 1 8.410 * [backup-simplify]: Simplify (/ -1 (log (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 8.410 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 8.410 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.410 * [taylor]: Taking taylor expansion of -1 in n 8.410 * [backup-simplify]: Simplify -1 into -1 8.410 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.410 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.410 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.410 * [taylor]: Taking taylor expansion of f in n 8.410 * [backup-simplify]: Simplify f into f 8.410 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.410 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.410 * [taylor]: Taking taylor expansion of n in n 8.410 * [backup-simplify]: Simplify 0 into 0 8.410 * [backup-simplify]: Simplify 1 into 1 8.411 * [backup-simplify]: Simplify (/ 1 1) into 1 8.411 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.411 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.411 * [taylor]: Taking taylor expansion of f in n 8.411 * [backup-simplify]: Simplify f into f 8.411 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.411 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.411 * [taylor]: Taking taylor expansion of n in n 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 1 into 1 8.411 * [backup-simplify]: Simplify (/ 1 1) into 1 8.412 * [backup-simplify]: Simplify (+ 0 1) into 1 8.412 * [backup-simplify]: Simplify (- 1) into -1 8.413 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.413 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.413 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.413 * [taylor]: Taking taylor expansion of -1 in f 8.413 * [backup-simplify]: Simplify -1 into -1 8.413 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.413 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.413 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.413 * [taylor]: Taking taylor expansion of f in f 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.414 * [backup-simplify]: Simplify (/ 1 1) into 1 8.414 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.414 * [taylor]: Taking taylor expansion of n in f 8.414 * [backup-simplify]: Simplify n into n 8.414 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.414 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.414 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.414 * [taylor]: Taking taylor expansion of f in f 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify 1 into 1 8.415 * [backup-simplify]: Simplify (/ 1 1) into 1 8.415 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.415 * [taylor]: Taking taylor expansion of n in f 8.415 * [backup-simplify]: Simplify n into n 8.415 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.415 * [backup-simplify]: Simplify (+ 1 0) into 1 8.416 * [backup-simplify]: Simplify (+ 1 0) into 1 8.416 * [backup-simplify]: Simplify (/ 1 1) into 1 8.416 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.416 * [taylor]: Taking taylor expansion of -1 in f 8.416 * [backup-simplify]: Simplify -1 into -1 8.416 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.416 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.416 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.416 * [taylor]: Taking taylor expansion of f in f 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 1 into 1 8.417 * [backup-simplify]: Simplify (/ 1 1) into 1 8.417 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.417 * [taylor]: Taking taylor expansion of n in f 8.417 * [backup-simplify]: Simplify n into n 8.417 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.417 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.417 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.417 * [taylor]: Taking taylor expansion of f in f 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [backup-simplify]: Simplify (/ 1 1) into 1 8.417 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.417 * [taylor]: Taking taylor expansion of n in f 8.417 * [backup-simplify]: Simplify n into n 8.417 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.418 * [backup-simplify]: Simplify (+ 1 0) into 1 8.418 * [backup-simplify]: Simplify (+ 1 0) into 1 8.419 * [backup-simplify]: Simplify (/ 1 1) into 1 8.419 * [backup-simplify]: Simplify (* -1 1) into -1 8.419 * [taylor]: Taking taylor expansion of -1 in n 8.419 * [backup-simplify]: Simplify -1 into -1 8.419 * [backup-simplify]: Simplify -1 into -1 8.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.420 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.421 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.421 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.421 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.422 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.422 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.422 * [taylor]: Taking taylor expansion of 2 in n 8.422 * [backup-simplify]: Simplify 2 into 2 8.422 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.422 * [taylor]: Taking taylor expansion of n in n 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 1 into 1 8.422 * [backup-simplify]: Simplify (/ 1 1) into 1 8.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.424 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.424 * [backup-simplify]: Simplify (- 0) into 0 8.424 * [backup-simplify]: Simplify 0 into 0 8.424 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.426 * [backup-simplify]: Simplify (+ 0 0) into 0 8.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.427 * [backup-simplify]: Simplify (- 0) into 0 8.427 * [backup-simplify]: Simplify (+ 0 0) into 0 8.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.429 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.429 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.429 * [taylor]: Taking taylor expansion of 2 in n 8.429 * [backup-simplify]: Simplify 2 into 2 8.429 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.429 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.429 * [taylor]: Taking taylor expansion of n in n 8.430 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify 1 into 1 8.430 * [backup-simplify]: Simplify (* 1 1) into 1 8.430 * [backup-simplify]: Simplify (/ 1 1) into 1 8.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.435 * [backup-simplify]: Simplify (- 0) into 0 8.435 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.438 * [backup-simplify]: Simplify (- 0) into 0 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.440 * [backup-simplify]: Simplify (+ 0 0) into 0 8.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.441 * [backup-simplify]: Simplify (- 0) into 0 8.441 * [backup-simplify]: Simplify (+ 0 0) into 0 8.443 * [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))) 8.444 * [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)))) 8.444 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.444 * [taylor]: Taking taylor expansion of 2 in n 8.444 * [backup-simplify]: Simplify 2 into 2 8.445 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.445 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.445 * [taylor]: Taking taylor expansion of n in n 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 1 into 1 8.445 * [backup-simplify]: Simplify (* 1 1) into 1 8.445 * [backup-simplify]: Simplify (* 1 1) into 1 8.446 * [backup-simplify]: Simplify (/ 1 1) into 1 8.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.456 * [backup-simplify]: Simplify (- 0) into 0 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify -1 into -1 8.456 * [backup-simplify]: Simplify (/ -1 (log (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 8.456 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.456 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.457 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.457 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.457 * [taylor]: Taking taylor expansion of f in n 8.457 * [backup-simplify]: Simplify f into f 8.457 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.457 * [taylor]: Taking taylor expansion of n in n 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.457 * [backup-simplify]: Simplify (/ 1 1) into 1 8.457 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.457 * [taylor]: Taking taylor expansion of n in n 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.458 * [backup-simplify]: Simplify (/ 1 1) into 1 8.458 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.458 * [taylor]: Taking taylor expansion of f in n 8.458 * [backup-simplify]: Simplify f into f 8.458 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.458 * [backup-simplify]: Simplify (+ 0 1) into 1 8.459 * [backup-simplify]: Simplify (+ 1 0) into 1 8.459 * [backup-simplify]: Simplify (/ 1 1) into 1 8.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.459 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.459 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.459 * [taylor]: Taking taylor expansion of f in f 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify 1 into 1 8.460 * [backup-simplify]: Simplify (/ 1 1) into 1 8.460 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.460 * [taylor]: Taking taylor expansion of n in f 8.460 * [backup-simplify]: Simplify n into n 8.460 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.460 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.460 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.460 * [taylor]: Taking taylor expansion of n in f 8.460 * [backup-simplify]: Simplify n into n 8.460 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.460 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.460 * [taylor]: Taking taylor expansion of f in f 8.460 * [backup-simplify]: Simplify 0 into 0 8.460 * [backup-simplify]: Simplify 1 into 1 8.461 * [backup-simplify]: Simplify (/ 1 1) into 1 8.461 * [backup-simplify]: Simplify (+ 1 0) into 1 8.461 * [backup-simplify]: Simplify (- 1) into -1 8.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.462 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.462 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.462 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.462 * [taylor]: Taking taylor expansion of f in f 8.462 * [backup-simplify]: Simplify 0 into 0 8.462 * [backup-simplify]: Simplify 1 into 1 8.463 * [backup-simplify]: Simplify (/ 1 1) into 1 8.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.463 * [taylor]: Taking taylor expansion of n in f 8.463 * [backup-simplify]: Simplify n into n 8.463 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.463 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.463 * [taylor]: Taking taylor expansion of n in f 8.463 * [backup-simplify]: Simplify n into n 8.463 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.463 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.463 * [taylor]: Taking taylor expansion of f in f 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 1 into 1 8.464 * [backup-simplify]: Simplify (/ 1 1) into 1 8.464 * [backup-simplify]: Simplify (+ 1 0) into 1 8.465 * [backup-simplify]: Simplify (- 1) into -1 8.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.465 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.466 * [taylor]: Taking taylor expansion of -1 in n 8.466 * [backup-simplify]: Simplify -1 into -1 8.466 * [backup-simplify]: Simplify -1 into -1 8.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.467 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.468 * [backup-simplify]: Simplify (- 0) into 0 8.468 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.468 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.468 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.468 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.468 * [taylor]: Taking taylor expansion of 2 in n 8.468 * [backup-simplify]: Simplify 2 into 2 8.468 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.468 * [taylor]: Taking taylor expansion of n in n 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 1 into 1 8.469 * [backup-simplify]: Simplify (/ 1 1) into 1 8.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.475 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.475 * [backup-simplify]: Simplify (- 0) into 0 8.475 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.477 * [backup-simplify]: Simplify (+ 0 0) into 0 8.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.478 * [backup-simplify]: Simplify (- 0) into 0 8.479 * [backup-simplify]: Simplify (+ 0 0) into 0 8.480 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.480 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.480 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.480 * [taylor]: Taking taylor expansion of 2 in n 8.480 * [backup-simplify]: Simplify 2 into 2 8.480 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.480 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.480 * [taylor]: Taking taylor expansion of n in n 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify 1 into 1 8.481 * [backup-simplify]: Simplify (* 1 1) into 1 8.481 * [backup-simplify]: Simplify (/ 1 1) into 1 8.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.486 * [backup-simplify]: Simplify (- 0) into 0 8.486 * [backup-simplify]: Simplify 0 into 0 8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.488 * [backup-simplify]: Simplify (- 0) into 0 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.489 * [backup-simplify]: Simplify (+ 0 0) into 0 8.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.490 * [backup-simplify]: Simplify (- 0) into 0 8.490 * [backup-simplify]: Simplify (+ 0 0) into 0 8.491 * [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)))) 8.491 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.491 * [taylor]: Taking taylor expansion of 2 in n 8.491 * [backup-simplify]: Simplify 2 into 2 8.491 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.491 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.491 * [taylor]: Taking taylor expansion of n in n 8.491 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify 1 into 1 8.492 * [backup-simplify]: Simplify (* 1 1) into 1 8.492 * [backup-simplify]: Simplify (* 1 1) into 1 8.492 * [backup-simplify]: Simplify (/ 1 1) into 1 8.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.498 * [backup-simplify]: Simplify (- 0) into 0 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify -1 into -1 8.498 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.498 * [backup-simplify]: Simplify (log (exp (/ (- f n) (+ f n)))) into (/ (- f n) (+ n f)) 8.498 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 8.498 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 8.498 * [taylor]: Taking taylor expansion of (- f n) in n 8.498 * [taylor]: Taking taylor expansion of f in n 8.498 * [backup-simplify]: Simplify f into f 8.498 * [taylor]: Taking taylor expansion of n in n 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 1 into 1 8.498 * [taylor]: Taking taylor expansion of (+ n f) in n 8.498 * [taylor]: Taking taylor expansion of n in n 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 1 into 1 8.498 * [taylor]: Taking taylor expansion of f in n 8.498 * [backup-simplify]: Simplify f into f 8.498 * [backup-simplify]: Simplify (- 0) into 0 8.498 * [backup-simplify]: Simplify (+ f 0) into f 8.498 * [backup-simplify]: Simplify (+ 0 f) into f 8.498 * [backup-simplify]: Simplify (/ f f) into 1 8.499 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 8.499 * [taylor]: Taking taylor expansion of (- f n) in f 8.499 * [taylor]: Taking taylor expansion of f in f 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 1 into 1 8.499 * [taylor]: Taking taylor expansion of n in f 8.499 * [backup-simplify]: Simplify n into n 8.499 * [taylor]: Taking taylor expansion of (+ n f) in f 8.499 * [taylor]: Taking taylor expansion of n in f 8.499 * [backup-simplify]: Simplify n into n 8.499 * [taylor]: Taking taylor expansion of f in f 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 1 into 1 8.499 * [backup-simplify]: Simplify (- n) into (- n) 8.499 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.499 * [backup-simplify]: Simplify (+ n 0) into n 8.499 * [backup-simplify]: Simplify (/ (- n) n) into -1 8.499 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 8.499 * [taylor]: Taking taylor expansion of (- f n) in f 8.499 * [taylor]: Taking taylor expansion of f in f 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 1 into 1 8.499 * [taylor]: Taking taylor expansion of n in f 8.499 * [backup-simplify]: Simplify n into n 8.499 * [taylor]: Taking taylor expansion of (+ n f) in f 8.499 * [taylor]: Taking taylor expansion of n in f 8.499 * [backup-simplify]: Simplify n into n 8.499 * [taylor]: Taking taylor expansion of f in f 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 1 into 1 8.499 * [backup-simplify]: Simplify (- n) into (- n) 8.499 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.499 * [backup-simplify]: Simplify (+ n 0) into n 8.499 * [backup-simplify]: Simplify (/ (- n) n) into -1 8.499 * [taylor]: Taking taylor expansion of -1 in n 8.499 * [backup-simplify]: Simplify -1 into -1 8.499 * [backup-simplify]: Simplify -1 into -1 8.499 * [backup-simplify]: Simplify (- 0) into 0 8.500 * [backup-simplify]: Simplify (+ 1 0) into 1 8.500 * [backup-simplify]: Simplify (+ 0 1) into 1 8.500 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 8.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.500 * [taylor]: Taking taylor expansion of 2 in n 8.500 * [backup-simplify]: Simplify 2 into 2 8.500 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.500 * [taylor]: Taking taylor expansion of n in n 8.500 * [backup-simplify]: Simplify 0 into 0 8.500 * [backup-simplify]: Simplify 1 into 1 8.500 * [backup-simplify]: Simplify (/ 1 1) into 1 8.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.501 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.501 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify (- 0) into 0 8.502 * [backup-simplify]: Simplify (+ 0 0) into 0 8.502 * [backup-simplify]: Simplify (+ 0 0) into 0 8.502 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 8.502 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.502 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.502 * [taylor]: Taking taylor expansion of 2 in n 8.502 * [backup-simplify]: Simplify 2 into 2 8.502 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.502 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.502 * [taylor]: Taking taylor expansion of n in n 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 1 into 1 8.503 * [backup-simplify]: Simplify (* 1 1) into 1 8.503 * [backup-simplify]: Simplify (/ 1 1) into 1 8.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.506 * [backup-simplify]: Simplify (- 0) into 0 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify (- 0) into 0 8.507 * [backup-simplify]: Simplify (+ 0 0) into 0 8.507 * [backup-simplify]: Simplify (+ 0 0) into 0 8.508 * [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))) 8.508 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.508 * [taylor]: Taking taylor expansion of 2 in n 8.508 * [backup-simplify]: Simplify 2 into 2 8.508 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.508 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.508 * [taylor]: Taking taylor expansion of n in n 8.508 * [backup-simplify]: Simplify 0 into 0 8.508 * [backup-simplify]: Simplify 1 into 1 8.508 * [backup-simplify]: Simplify (* 1 1) into 1 8.508 * [backup-simplify]: Simplify (* 1 1) into 1 8.509 * [backup-simplify]: Simplify (/ 1 1) into 1 8.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify -1 into -1 8.514 * [backup-simplify]: Simplify (log (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 8.514 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 8.514 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 8.514 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.514 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.514 * [taylor]: Taking taylor expansion of f in n 8.515 * [backup-simplify]: Simplify f into f 8.515 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.515 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.515 * [taylor]: Taking taylor expansion of n in n 8.515 * [backup-simplify]: Simplify 0 into 0 8.515 * [backup-simplify]: Simplify 1 into 1 8.515 * [backup-simplify]: Simplify (/ 1 1) into 1 8.515 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.515 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.515 * [taylor]: Taking taylor expansion of f in n 8.515 * [backup-simplify]: Simplify f into f 8.515 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.515 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.515 * [taylor]: Taking taylor expansion of n in n 8.515 * [backup-simplify]: Simplify 0 into 0 8.515 * [backup-simplify]: Simplify 1 into 1 8.515 * [backup-simplify]: Simplify (/ 1 1) into 1 8.516 * [backup-simplify]: Simplify (- 1) into -1 8.516 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.516 * [backup-simplify]: Simplify (+ 0 1) into 1 8.516 * [backup-simplify]: Simplify (/ -1 1) into -1 8.516 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 8.516 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.516 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.516 * [taylor]: Taking taylor expansion of f in f 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 1 into 1 8.517 * [backup-simplify]: Simplify (/ 1 1) into 1 8.517 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.517 * [taylor]: Taking taylor expansion of n in f 8.517 * [backup-simplify]: Simplify n into n 8.517 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.517 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.517 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.517 * [taylor]: Taking taylor expansion of f in f 8.517 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify 1 into 1 8.517 * [backup-simplify]: Simplify (/ 1 1) into 1 8.517 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.517 * [taylor]: Taking taylor expansion of n in f 8.517 * [backup-simplify]: Simplify n into n 8.517 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.517 * [backup-simplify]: Simplify (+ 1 0) into 1 8.518 * [backup-simplify]: Simplify (+ 1 0) into 1 8.518 * [backup-simplify]: Simplify (/ 1 1) into 1 8.518 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 8.518 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.518 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.518 * [taylor]: Taking taylor expansion of f in f 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 1 into 1 8.518 * [backup-simplify]: Simplify (/ 1 1) into 1 8.518 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.518 * [taylor]: Taking taylor expansion of n in f 8.518 * [backup-simplify]: Simplify n into n 8.518 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.518 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.518 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.518 * [taylor]: Taking taylor expansion of f in f 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 1 into 1 8.519 * [backup-simplify]: Simplify (/ 1 1) into 1 8.519 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.519 * [taylor]: Taking taylor expansion of n in f 8.519 * [backup-simplify]: Simplify n into n 8.519 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.519 * [backup-simplify]: Simplify (+ 1 0) into 1 8.520 * [backup-simplify]: Simplify (+ 1 0) into 1 8.520 * [backup-simplify]: Simplify (/ 1 1) into 1 8.520 * [taylor]: Taking taylor expansion of 1 in n 8.520 * [backup-simplify]: Simplify 1 into 1 8.520 * [backup-simplify]: Simplify 1 into 1 8.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.521 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.521 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.522 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.522 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 8.522 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.522 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.522 * [taylor]: Taking taylor expansion of 2 in n 8.522 * [backup-simplify]: Simplify 2 into 2 8.522 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.522 * [taylor]: Taking taylor expansion of n in n 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify 1 into 1 8.523 * [backup-simplify]: Simplify (/ 1 1) into 1 8.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.524 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.524 * [backup-simplify]: Simplify (- 0) into 0 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 0 into 0 8.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.526 * [backup-simplify]: Simplify (- 0) into 0 8.526 * [backup-simplify]: Simplify (+ 0 0) into 0 8.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.528 * [backup-simplify]: Simplify (+ 0 0) into 0 8.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 8.529 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.529 * [taylor]: Taking taylor expansion of 2 in n 8.529 * [backup-simplify]: Simplify 2 into 2 8.529 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.529 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.529 * [taylor]: Taking taylor expansion of n in n 8.529 * [backup-simplify]: Simplify 0 into 0 8.529 * [backup-simplify]: Simplify 1 into 1 8.529 * [backup-simplify]: Simplify (* 1 1) into 1 8.530 * [backup-simplify]: Simplify (/ 1 1) into 1 8.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.534 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.534 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.535 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.536 * [backup-simplify]: Simplify (- 0) into 0 8.536 * [backup-simplify]: Simplify 0 into 0 8.536 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.537 * [backup-simplify]: Simplify (- 0) into 0 8.538 * [backup-simplify]: Simplify (+ 0 0) into 0 8.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.539 * [backup-simplify]: Simplify (+ 0 0) into 0 8.541 * [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)))) 8.541 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.541 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.541 * [taylor]: Taking taylor expansion of 2 in n 8.541 * [backup-simplify]: Simplify 2 into 2 8.541 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.541 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.541 * [taylor]: Taking taylor expansion of n in n 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (* 1 1) into 1 8.542 * [backup-simplify]: Simplify (* 1 1) into 1 8.542 * [backup-simplify]: Simplify (/ 1 1) into 1 8.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (- 0) into 0 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify 1 into 1 8.550 * [backup-simplify]: Simplify (log (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 8.550 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 8.550 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 8.550 * [taylor]: Taking taylor expansion of -1 in n 8.550 * [backup-simplify]: Simplify -1 into -1 8.550 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 8.550 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.550 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.550 * [taylor]: Taking taylor expansion of n in n 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify 1 into 1 8.551 * [backup-simplify]: Simplify (/ 1 1) into 1 8.551 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.551 * [taylor]: Taking taylor expansion of f in n 8.551 * [backup-simplify]: Simplify f into f 8.551 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.551 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.551 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.551 * [taylor]: Taking taylor expansion of f in n 8.551 * [backup-simplify]: Simplify f into f 8.551 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.551 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.551 * [taylor]: Taking taylor expansion of n in n 8.551 * [backup-simplify]: Simplify 0 into 0 8.551 * [backup-simplify]: Simplify 1 into 1 8.551 * [backup-simplify]: Simplify (/ 1 1) into 1 8.551 * [backup-simplify]: Simplify (+ 1 0) into 1 8.552 * [backup-simplify]: Simplify (+ 0 1) into 1 8.552 * [backup-simplify]: Simplify (/ 1 1) into 1 8.552 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 8.552 * [taylor]: Taking taylor expansion of -1 in f 8.552 * [backup-simplify]: Simplify -1 into -1 8.552 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 8.552 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.552 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.552 * [taylor]: Taking taylor expansion of n in f 8.552 * [backup-simplify]: Simplify n into n 8.552 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.552 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.552 * [taylor]: Taking taylor expansion of f in f 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (/ 1 1) into 1 8.552 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.552 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.552 * [taylor]: Taking taylor expansion of f in f 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.553 * [backup-simplify]: Simplify (/ 1 1) into 1 8.553 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.553 * [taylor]: Taking taylor expansion of n in f 8.553 * [backup-simplify]: Simplify n into n 8.553 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.553 * [backup-simplify]: Simplify (- 1) into -1 8.553 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.553 * [backup-simplify]: Simplify (+ 1 0) into 1 8.554 * [backup-simplify]: Simplify (/ -1 1) into -1 8.554 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 8.554 * [taylor]: Taking taylor expansion of -1 in f 8.554 * [backup-simplify]: Simplify -1 into -1 8.554 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 8.554 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.554 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.554 * [taylor]: Taking taylor expansion of n in f 8.554 * [backup-simplify]: Simplify n into n 8.554 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.554 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.554 * [taylor]: Taking taylor expansion of f in f 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 1 into 1 8.554 * [backup-simplify]: Simplify (/ 1 1) into 1 8.554 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.554 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.554 * [taylor]: Taking taylor expansion of f in f 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (/ 1 1) into 1 8.555 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.555 * [taylor]: Taking taylor expansion of n in f 8.555 * [backup-simplify]: Simplify n into n 8.555 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.555 * [backup-simplify]: Simplify (- 1) into -1 8.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.555 * [backup-simplify]: Simplify (+ 1 0) into 1 8.556 * [backup-simplify]: Simplify (/ -1 1) into -1 8.556 * [backup-simplify]: Simplify (* -1 -1) into 1 8.556 * [taylor]: Taking taylor expansion of 1 in n 8.556 * [backup-simplify]: Simplify 1 into 1 8.556 * [backup-simplify]: Simplify 1 into 1 8.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.557 * [backup-simplify]: Simplify (- 0) into 0 8.557 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.557 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.557 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 8.558 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 8.558 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.558 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.558 * [taylor]: Taking taylor expansion of 2 in n 8.558 * [backup-simplify]: Simplify 2 into 2 8.558 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.558 * [taylor]: Taking taylor expansion of n in n 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify 1 into 1 8.558 * [backup-simplify]: Simplify (/ 1 1) into 1 8.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.559 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.559 * [backup-simplify]: Simplify (- 0) into 0 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.560 * [backup-simplify]: Simplify (- 0) into 0 8.561 * [backup-simplify]: Simplify (+ 0 0) into 0 8.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.561 * [backup-simplify]: Simplify (+ 0 0) into 0 8.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.563 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.563 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.563 * [taylor]: Taking taylor expansion of 2 in n 8.563 * [backup-simplify]: Simplify 2 into 2 8.563 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.563 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.563 * [taylor]: Taking taylor expansion of n in n 8.563 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [backup-simplify]: Simplify (* 1 1) into 1 8.563 * [backup-simplify]: Simplify (/ 1 1) into 1 8.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.566 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.567 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.567 * [backup-simplify]: Simplify (- 0) into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.568 * [backup-simplify]: Simplify (- 0) into 0 8.568 * [backup-simplify]: Simplify (+ 0 0) into 0 8.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.569 * [backup-simplify]: Simplify (+ 0 0) into 0 8.570 * [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))) 8.571 * [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)))) 8.571 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.571 * [taylor]: Taking taylor expansion of 2 in n 8.571 * [backup-simplify]: Simplify 2 into 2 8.571 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.571 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.571 * [taylor]: Taking taylor expansion of n in n 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify 1 into 1 8.571 * [backup-simplify]: Simplify (* 1 1) into 1 8.571 * [backup-simplify]: Simplify (* 1 1) into 1 8.572 * [backup-simplify]: Simplify (/ 1 1) into 1 8.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.585 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.585 * [backup-simplify]: Simplify (- 0) into 0 8.585 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify 1 into 1 8.586 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.586 * [backup-simplify]: Simplify (exp (/ (- f n) (+ f n))) into (exp (/ (- f n) (+ n f))) 8.586 * [approximate]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in (f n) around 0 8.586 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in n 8.586 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 8.586 * [taylor]: Taking taylor expansion of (- f n) in n 8.586 * [taylor]: Taking taylor expansion of f in n 8.586 * [backup-simplify]: Simplify f into f 8.586 * [taylor]: Taking taylor expansion of n in n 8.586 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify 1 into 1 8.586 * [taylor]: Taking taylor expansion of (+ n f) in n 8.586 * [taylor]: Taking taylor expansion of n in n 8.586 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify 1 into 1 8.586 * [taylor]: Taking taylor expansion of f in n 8.586 * [backup-simplify]: Simplify f into f 8.587 * [backup-simplify]: Simplify (- 0) into 0 8.587 * [backup-simplify]: Simplify (+ f 0) into f 8.587 * [backup-simplify]: Simplify (+ 0 f) into f 8.587 * [backup-simplify]: Simplify (/ f f) into 1 8.587 * [backup-simplify]: Simplify (exp 1) into E 8.587 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 8.587 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 8.587 * [taylor]: Taking taylor expansion of (- f n) in f 8.587 * [taylor]: Taking taylor expansion of f in f 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 1 into 1 8.587 * [taylor]: Taking taylor expansion of n in f 8.587 * [backup-simplify]: Simplify n into n 8.587 * [taylor]: Taking taylor expansion of (+ n f) in f 8.587 * [taylor]: Taking taylor expansion of n in f 8.587 * [backup-simplify]: Simplify n into n 8.587 * [taylor]: Taking taylor expansion of f in f 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 1 into 1 8.588 * [backup-simplify]: Simplify (- n) into (- n) 8.588 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.588 * [backup-simplify]: Simplify (+ n 0) into n 8.588 * [backup-simplify]: Simplify (/ (- n) n) into -1 8.588 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.588 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 8.588 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 8.588 * [taylor]: Taking taylor expansion of (- f n) in f 8.588 * [taylor]: Taking taylor expansion of f in f 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 1 into 1 8.588 * [taylor]: Taking taylor expansion of n in f 8.588 * [backup-simplify]: Simplify n into n 8.588 * [taylor]: Taking taylor expansion of (+ n f) in f 8.588 * [taylor]: Taking taylor expansion of n in f 8.589 * [backup-simplify]: Simplify n into n 8.589 * [taylor]: Taking taylor expansion of f in f 8.589 * [backup-simplify]: Simplify 0 into 0 8.589 * [backup-simplify]: Simplify 1 into 1 8.589 * [backup-simplify]: Simplify (- n) into (- n) 8.589 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.589 * [backup-simplify]: Simplify (+ n 0) into n 8.589 * [backup-simplify]: Simplify (/ (- n) n) into -1 8.589 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.591 * [taylor]: Taking taylor expansion of (exp -1) in n 8.591 * [taylor]: Taking taylor expansion of -1 in n 8.591 * [backup-simplify]: Simplify -1 into -1 8.591 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.592 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.593 * [backup-simplify]: Simplify (- 0) into 0 8.593 * [backup-simplify]: Simplify (+ 1 0) into 1 8.594 * [backup-simplify]: Simplify (+ 0 1) into 1 8.594 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 8.595 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 8.595 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 8.595 * [taylor]: Taking taylor expansion of 2 in n 8.595 * [backup-simplify]: Simplify 2 into 2 8.595 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 8.595 * [taylor]: Taking taylor expansion of (exp -1) in n 8.595 * [taylor]: Taking taylor expansion of -1 in n 8.595 * [backup-simplify]: Simplify -1 into -1 8.597 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.597 * [taylor]: Taking taylor expansion of n in n 8.597 * [backup-simplify]: Simplify 0 into 0 8.597 * [backup-simplify]: Simplify 1 into 1 8.598 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 8.600 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 8.602 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 8.602 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify (- 0) into 0 8.604 * [backup-simplify]: Simplify (+ 0 0) into 0 8.605 * [backup-simplify]: Simplify (+ 0 0) into 0 8.605 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 8.606 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 8.606 * [taylor]: Taking taylor expansion of 0 in n 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 0 into 0 8.608 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.610 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 8.610 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.612 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify (- 0) into 0 8.613 * [backup-simplify]: Simplify (+ 0 0) into 0 8.613 * [backup-simplify]: Simplify (+ 0 0) into 0 8.614 * [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))) 8.615 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* -2/3 (/ (exp -1) (pow n 3))) 8.615 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp -1) (pow n 3))) in n 8.615 * [taylor]: Taking taylor expansion of -2/3 in n 8.615 * [backup-simplify]: Simplify -2/3 into -2/3 8.615 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 8.615 * [taylor]: Taking taylor expansion of (exp -1) in n 8.615 * [taylor]: Taking taylor expansion of -1 in n 8.615 * [backup-simplify]: Simplify -1 into -1 8.616 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.616 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.616 * [taylor]: Taking taylor expansion of n in n 8.616 * [backup-simplify]: Simplify 0 into 0 8.616 * [backup-simplify]: Simplify 1 into 1 8.616 * [backup-simplify]: Simplify (* 1 1) into 1 8.617 * [backup-simplify]: Simplify (* 1 1) into 1 8.618 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 8.620 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.625 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 8.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 8.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.630 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.634 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.635 * [backup-simplify]: Simplify (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 8.635 * [approximate]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 8.635 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 8.635 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 8.635 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.635 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.635 * [taylor]: Taking taylor expansion of f in n 8.635 * [backup-simplify]: Simplify f into f 8.635 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.635 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.635 * [taylor]: Taking taylor expansion of n in n 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify (/ 1 1) into 1 8.635 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.635 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.636 * [taylor]: Taking taylor expansion of f in n 8.636 * [backup-simplify]: Simplify f into f 8.636 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.636 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.636 * [taylor]: Taking taylor expansion of n in n 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [backup-simplify]: Simplify (/ 1 1) into 1 8.637 * [backup-simplify]: Simplify (- 1) into -1 8.637 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.637 * [backup-simplify]: Simplify (+ 0 1) into 1 8.638 * [backup-simplify]: Simplify (/ -1 1) into -1 8.638 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.638 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 8.638 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 8.638 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.638 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.638 * [taylor]: Taking taylor expansion of f in f 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify 1 into 1 8.639 * [backup-simplify]: Simplify (/ 1 1) into 1 8.639 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.639 * [taylor]: Taking taylor expansion of n in f 8.639 * [backup-simplify]: Simplify n into n 8.639 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.639 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.639 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.639 * [taylor]: Taking taylor expansion of f in f 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify 1 into 1 8.640 * [backup-simplify]: Simplify (/ 1 1) into 1 8.640 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.640 * [taylor]: Taking taylor expansion of n in f 8.640 * [backup-simplify]: Simplify n into n 8.640 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.640 * [backup-simplify]: Simplify (+ 1 0) into 1 8.641 * [backup-simplify]: Simplify (+ 1 0) into 1 8.641 * [backup-simplify]: Simplify (/ 1 1) into 1 8.641 * [backup-simplify]: Simplify (exp 1) into E 8.641 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 8.641 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 8.641 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.641 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.641 * [taylor]: Taking taylor expansion of f in f 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify 1 into 1 8.642 * [backup-simplify]: Simplify (/ 1 1) into 1 8.642 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.642 * [taylor]: Taking taylor expansion of n in f 8.642 * [backup-simplify]: Simplify n into n 8.642 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.642 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.642 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.642 * [taylor]: Taking taylor expansion of f in f 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 1 into 1 8.642 * [backup-simplify]: Simplify (/ 1 1) into 1 8.643 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.643 * [taylor]: Taking taylor expansion of n in f 8.643 * [backup-simplify]: Simplify n into n 8.643 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.643 * [backup-simplify]: Simplify (+ 1 0) into 1 8.644 * [backup-simplify]: Simplify (+ 1 0) into 1 8.644 * [backup-simplify]: Simplify (/ 1 1) into 1 8.644 * [backup-simplify]: Simplify (exp 1) into E 8.644 * [taylor]: Taking taylor expansion of E in n 8.644 * [backup-simplify]: Simplify E into E 8.644 * [backup-simplify]: Simplify E into E 8.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.645 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.646 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.646 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 8.647 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 8.647 * [taylor]: Taking taylor expansion of (* -2 (/ E n)) in n 8.647 * [taylor]: Taking taylor expansion of -2 in n 8.647 * [backup-simplify]: Simplify -2 into -2 8.647 * [taylor]: Taking taylor expansion of (/ E n) in n 8.647 * [taylor]: Taking taylor expansion of E in n 8.647 * [backup-simplify]: Simplify E into E 8.647 * [taylor]: Taking taylor expansion of n in n 8.647 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify 1 into 1 8.647 * [backup-simplify]: Simplify (/ E 1) into E 8.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.649 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 E)) into 0 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.651 * [backup-simplify]: Simplify (- 0) into 0 8.651 * [backup-simplify]: Simplify (+ 0 0) into 0 8.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.653 * [backup-simplify]: Simplify (+ 0 0) into 0 8.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 8.654 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 8.654 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 8.654 * [taylor]: Taking taylor expansion of 4 in n 8.654 * [backup-simplify]: Simplify 4 into 4 8.654 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 8.654 * [taylor]: Taking taylor expansion of E in n 8.654 * [backup-simplify]: Simplify E into E 8.654 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.655 * [taylor]: Taking taylor expansion of n in n 8.655 * [backup-simplify]: Simplify 0 into 0 8.655 * [backup-simplify]: Simplify 1 into 1 8.655 * [backup-simplify]: Simplify (* 1 1) into 1 8.656 * [backup-simplify]: Simplify (/ E 1) into E 8.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.660 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 8.660 * [backup-simplify]: Simplify 0 into 0 8.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.663 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 E))) into 0 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.664 * [backup-simplify]: Simplify (- 0) into 0 8.665 * [backup-simplify]: Simplify (+ 0 0) into 0 8.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.666 * [backup-simplify]: Simplify (+ 0 0) into 0 8.668 * [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)))) 8.669 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* -22/3 (/ E (pow n 3))) 8.669 * [taylor]: Taking taylor expansion of (* -22/3 (/ E (pow n 3))) in n 8.669 * [taylor]: Taking taylor expansion of -22/3 in n 8.669 * [backup-simplify]: Simplify -22/3 into -22/3 8.669 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 8.669 * [taylor]: Taking taylor expansion of E in n 8.669 * [backup-simplify]: Simplify E into E 8.669 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.669 * [taylor]: Taking taylor expansion of n in n 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify (* 1 1) into 1 8.670 * [backup-simplify]: Simplify (* 1 1) into 1 8.671 * [backup-simplify]: Simplify (/ E 1) into E 8.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.681 * [backup-simplify]: Simplify (+ (* -22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify E into E 8.681 * [backup-simplify]: Simplify (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 8.681 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 8.681 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 8.681 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 8.681 * [taylor]: Taking taylor expansion of -1 in n 8.681 * [backup-simplify]: Simplify -1 into -1 8.681 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 8.682 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.682 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.682 * [taylor]: Taking taylor expansion of n in n 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.682 * [backup-simplify]: Simplify (/ 1 1) into 1 8.682 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.682 * [taylor]: Taking taylor expansion of f in n 8.682 * [backup-simplify]: Simplify f into f 8.682 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.682 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.682 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.682 * [taylor]: Taking taylor expansion of f in n 8.682 * [backup-simplify]: Simplify f into f 8.682 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.682 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.682 * [taylor]: Taking taylor expansion of n in n 8.682 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify 1 into 1 8.683 * [backup-simplify]: Simplify (/ 1 1) into 1 8.683 * [backup-simplify]: Simplify (+ 1 0) into 1 8.684 * [backup-simplify]: Simplify (+ 0 1) into 1 8.684 * [backup-simplify]: Simplify (/ 1 1) into 1 8.685 * [backup-simplify]: Simplify (* -1 1) into -1 8.685 * [backup-simplify]: Simplify (exp -1) into (exp -1) 8.685 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 8.685 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 8.685 * [taylor]: Taking taylor expansion of -1 in f 8.685 * [backup-simplify]: Simplify -1 into -1 8.685 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 8.685 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.685 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.685 * [taylor]: Taking taylor expansion of n in f 8.685 * [backup-simplify]: Simplify n into n 8.685 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.685 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.685 * [taylor]: Taking taylor expansion of f in f 8.685 * [backup-simplify]: Simplify 0 into 0 8.685 * [backup-simplify]: Simplify 1 into 1 8.686 * [backup-simplify]: Simplify (/ 1 1) into 1 8.686 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.686 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.686 * [taylor]: Taking taylor expansion of f in f 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [backup-simplify]: Simplify (/ 1 1) into 1 8.686 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.686 * [taylor]: Taking taylor expansion of n in f 8.686 * [backup-simplify]: Simplify n into n 8.686 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.687 * [backup-simplify]: Simplify (- 1) into -1 8.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.688 * [backup-simplify]: Simplify (+ 1 0) into 1 8.688 * [backup-simplify]: Simplify (/ -1 1) into -1 8.689 * [backup-simplify]: Simplify (* -1 -1) into 1 8.689 * [backup-simplify]: Simplify (exp 1) into E 8.689 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 8.689 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 8.689 * [taylor]: Taking taylor expansion of -1 in f 8.689 * [backup-simplify]: Simplify -1 into -1 8.689 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 8.689 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.689 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.689 * [taylor]: Taking taylor expansion of n in f 8.689 * [backup-simplify]: Simplify n into n 8.689 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.689 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.689 * [taylor]: Taking taylor expansion of f in f 8.689 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify 1 into 1 8.689 * [backup-simplify]: Simplify (/ 1 1) into 1 8.689 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.689 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.689 * [taylor]: Taking taylor expansion of f in f 8.689 * [backup-simplify]: Simplify 0 into 0 8.690 * [backup-simplify]: Simplify 1 into 1 8.690 * [backup-simplify]: Simplify (/ 1 1) into 1 8.690 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.690 * [taylor]: Taking taylor expansion of n in f 8.690 * [backup-simplify]: Simplify n into n 8.690 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.690 * [backup-simplify]: Simplify (- 1) into -1 8.691 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.691 * [backup-simplify]: Simplify (+ 1 0) into 1 8.692 * [backup-simplify]: Simplify (/ -1 1) into -1 8.692 * [backup-simplify]: Simplify (* -1 -1) into 1 8.692 * [backup-simplify]: Simplify (exp 1) into E 8.692 * [taylor]: Taking taylor expansion of E in n 8.692 * [backup-simplify]: Simplify E into E 8.692 * [backup-simplify]: Simplify E into E 8.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.693 * [backup-simplify]: Simplify (- 0) into 0 8.693 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.694 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.694 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 8.695 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 8.695 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 8.695 * [taylor]: Taking taylor expansion of (* -2 (/ E n)) in n 8.695 * [taylor]: Taking taylor expansion of -2 in n 8.695 * [backup-simplify]: Simplify -2 into -2 8.695 * [taylor]: Taking taylor expansion of (/ E n) in n 8.695 * [taylor]: Taking taylor expansion of E in n 8.695 * [backup-simplify]: Simplify E into E 8.695 * [taylor]: Taking taylor expansion of n in n 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify 1 into 1 8.696 * [backup-simplify]: Simplify (/ E 1) into E 8.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.697 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 E)) into 0 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.699 * [backup-simplify]: Simplify (- 0) into 0 8.699 * [backup-simplify]: Simplify (+ 0 0) into 0 8.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.701 * [backup-simplify]: Simplify (+ 0 0) into 0 8.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.702 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.703 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 8.703 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 8.703 * [taylor]: Taking taylor expansion of 4 in n 8.703 * [backup-simplify]: Simplify 4 into 4 8.703 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 8.703 * [taylor]: Taking taylor expansion of E in n 8.703 * [backup-simplify]: Simplify E into E 8.703 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.703 * [taylor]: Taking taylor expansion of n in n 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [backup-simplify]: Simplify 1 into 1 8.704 * [backup-simplify]: Simplify (* 1 1) into 1 8.704 * [backup-simplify]: Simplify (/ E 1) into E 8.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.709 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 8.709 * [backup-simplify]: Simplify 0 into 0 8.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.711 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 E))) into 0 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.712 * [backup-simplify]: Simplify (- 0) into 0 8.713 * [backup-simplify]: Simplify (+ 0 0) into 0 8.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.714 * [backup-simplify]: Simplify (+ 0 0) into 0 8.716 * [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))) 8.717 * [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)))) 8.717 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* -22/3 (/ E (pow n 3))) 8.717 * [taylor]: Taking taylor expansion of (* -22/3 (/ E (pow n 3))) in n 8.717 * [taylor]: Taking taylor expansion of -22/3 in n 8.717 * [backup-simplify]: Simplify -22/3 into -22/3 8.717 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 8.717 * [taylor]: Taking taylor expansion of E in n 8.717 * [backup-simplify]: Simplify E into E 8.717 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.717 * [taylor]: Taking taylor expansion of n in n 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.718 * [backup-simplify]: Simplify (* 1 1) into 1 8.718 * [backup-simplify]: Simplify (* 1 1) into 1 8.719 * [backup-simplify]: Simplify (/ E 1) into E 8.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 8.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.728 * [backup-simplify]: Simplify (+ (* -22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify E into E 8.728 * * * [progress]: simplifying candidates 8.728 * * * * [progress]: [ 1 / 279 ] simplifiying candidate # 8.728 * * * * [progress]: [ 2 / 279 ] simplifiying candidate # 8.728 * * * * [progress]: [ 3 / 279 ] simplifiying candidate # 8.728 * * * * [progress]: [ 4 / 279 ] simplifiying candidate # 8.728 * * * * [progress]: [ 5 / 279 ] 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candidate # 8.740 * * * * [progress]: [ 190 / 279 ] simplifiying candidate # 8.740 * * * * [progress]: [ 191 / 279 ] simplifiying candidate # 8.740 * * * * [progress]: [ 192 / 279 ] simplifiying candidate # 8.740 * * * * [progress]: [ 193 / 279 ] simplifiying candidate # 8.740 * * * * [progress]: [ 194 / 279 ] simplifiying candidate # 8.740 * * * * [progress]: [ 195 / 279 ] simplifiying candidate # 8.740 * * * * [progress]: [ 196 / 279 ] simplifiying candidate # 8.740 * * * * [progress]: [ 197 / 279 ] simplifiying candidate # 8.740 * * * * [progress]: [ 198 / 279 ] simplifiying candidate # 8.741 * * * * [progress]: [ 199 / 279 ] simplifiying candidate # 8.741 * * * * [progress]: [ 200 / 279 ] simplifiying candidate # 8.741 * * * * [progress]: [ 201 / 279 ] simplifiying candidate # 8.741 * * * * [progress]: [ 202 / 279 ] simplifiying candidate # 8.741 * * * * [progress]: [ 203 / 279 ] simplifiying candidate # 8.741 * * * * [progress]: [ 204 / 279 ] simplifiying candidate # 8.741 * * * * 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simplifiying candidate # 8.742 * * * * [progress]: [ 221 / 279 ] simplifiying candidate # 8.742 * * * * [progress]: [ 222 / 279 ] simplifiying candidate # 8.742 * * * * [progress]: [ 223 / 279 ] simplifiying candidate # 8.742 * * * * [progress]: [ 224 / 279 ] simplifiying candidate # 8.742 * * * * [progress]: [ 225 / 279 ] simplifiying candidate # 8.742 * * * * [progress]: [ 226 / 279 ] simplifiying candidate # 8.742 * * * * [progress]: [ 227 / 279 ] simplifiying candidate # 8.742 * * * * [progress]: [ 228 / 279 ] simplifiying candidate # 8.742 * * * * [progress]: [ 229 / 279 ] simplifiying candidate #real (real->posit16 (log (exp (/ (- f n) (+ f n))))))))> 8.743 * * * * [progress]: [ 230 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 231 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 232 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 233 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 234 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 235 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 236 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 237 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 238 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 239 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 240 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 241 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 242 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 243 / 279 ] simplifiying candidate # 8.743 * * * * [progress]: [ 244 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 245 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 246 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 247 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 248 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 249 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 250 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 251 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 252 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 253 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 254 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 255 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 256 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 257 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 258 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 259 / 279 ] simplifiying candidate # 8.744 * * * * [progress]: [ 260 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 261 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 262 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 263 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 264 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 265 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 266 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 267 / 279 ] simplifiying candidate #real (real->posit16 (exp (/ (- f n) (+ f n))))))))> 8.745 * * * * [progress]: [ 268 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 269 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 270 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 271 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 272 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 273 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 274 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 275 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 276 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 277 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 278 / 279 ] simplifiying candidate # 8.745 * * * * [progress]: [ 279 / 279 ] simplifiying candidate # 8.758 * [simplify]: Simplifying: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (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)) 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f)) (/ n (+ n f)) (/ (- f n) (+ n f)) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (sqrt (/ (- f n) (+ n f))) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (sqrt (+ n f))) (sqrt (- f n)) (sqrt (- f n)) (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) 1 1 (/ (+ (sqrt n) (sqrt f)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (+ (sqrt n) (sqrt f)) (sqrt (+ n f))) (+ (sqrt n) (sqrt f)) (+ (sqrt n) (sqrt f)) (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) 1 1 1 (- f n) (/ (- f n) (fma (* n n) n (* (* f f) f))) (/ (/ (- f n) (+ n f)) (- f n)) (log (/ (- f n) (+ n f))) (exp (/ (- 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))) (real->posit16 (/ (- f n) (+ n f))) (expm1 (exp (/ (- f n) (+ n f)))) (log1p (exp (/ (- f n) (+ n f)))) (exp (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (exp (sqrt (/ (- f n) (+ n f)))) (exp (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f))))) (exp (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f)))) (exp (* (cbrt (- f n)) (cbrt (- f n)))) (exp (* (cbrt (- f n)) (cbrt (- f n)))) (exp (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f))))) (exp (/ (sqrt (- f n)) (sqrt (+ n f)))) (exp (sqrt (- f n))) (exp (sqrt (- f n))) (exp (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f)))) (exp (/ 1 (sqrt (+ n f)))) E E (exp (/ (+ (sqrt n) (sqrt f)) (* (cbrt (+ n f)) (cbrt (+ n f))))) (exp (/ (+ (sqrt n) (sqrt f)) (sqrt (+ n f)))) (exp (+ (sqrt n) (sqrt f))) (exp (+ (sqrt n) (sqrt f))) (exp (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f)))) (exp (/ 1 (sqrt (+ n f)))) E E E (exp (- f n)) (exp (/ (- f n) (fma (* n n) n (* (* f f) f)))) (exp (/ (/ (- f n) (+ n f)) (- f n))) (exp (/ f (+ n f))) (exp (/ n (+ n f))) (/ (- f n) (+ n f)) (exp (exp (/ (- f n) (+ n f)))) (* (cbrt (exp (/ (- f n) (+ n f)))) (cbrt (exp (/ (- f n) (+ n f))))) (cbrt (exp (/ (- f n) (+ n f)))) (exp (* 3 (/ (- f n) (+ n f)))) (sqrt (exp (/ (- f n) (+ n f)))) (sqrt (exp (/ (- f n) (+ n f)))) (real->posit16 (exp (/ (- f n) (+ n f)))) -1 1 1 1 -1 -1 -1 1 1 (exp -1) E E 21.138 * * * [progress]: adding candidates to table 23.416 * * [progress]: iteration 4 / 4 23.416 * * * [progress]: picking best candidate 23.428 * * * * [pick]: Picked # 23.428 * * * [progress]: localizing error 23.459 * * * [progress]: generating rewritten candidates 23.459 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 23.522 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 23.534 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 23.580 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 23.606 * * * [progress]: generating series expansions 23.606 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 23.606 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 23.606 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 23.606 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 23.606 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 23.606 * [taylor]: Taking taylor expansion of f in n 23.606 * [backup-simplify]: Simplify f into f 23.606 * [taylor]: Taking taylor expansion of (+ n f) in n 23.606 * [taylor]: Taking taylor expansion of n in n 23.606 * [backup-simplify]: Simplify 0 into 0 23.606 * [backup-simplify]: Simplify 1 into 1 23.606 * [taylor]: Taking taylor expansion of f in n 23.606 * [backup-simplify]: Simplify f into f 23.606 * [backup-simplify]: Simplify (+ 0 f) into f 23.606 * [backup-simplify]: Simplify (/ f f) into 1 23.606 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 23.606 * [taylor]: Taking taylor expansion of n in n 23.606 * [backup-simplify]: Simplify 0 into 0 23.606 * [backup-simplify]: Simplify 1 into 1 23.606 * [taylor]: Taking taylor expansion of (+ n f) in n 23.606 * [taylor]: Taking taylor expansion of n in n 23.606 * [backup-simplify]: Simplify 0 into 0 23.606 * [backup-simplify]: Simplify 1 into 1 23.606 * [taylor]: Taking taylor expansion of f in n 23.607 * [backup-simplify]: Simplify f into f 23.607 * [backup-simplify]: Simplify (+ 0 f) into f 23.607 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.607 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 23.607 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 23.607 * [taylor]: Taking taylor expansion of f in f 23.607 * [backup-simplify]: Simplify 0 into 0 23.607 * [backup-simplify]: Simplify 1 into 1 23.607 * [taylor]: Taking taylor expansion of (+ n f) in f 23.607 * [taylor]: Taking taylor expansion of n in f 23.607 * [backup-simplify]: Simplify n into n 23.607 * [taylor]: Taking taylor expansion of f in f 23.607 * [backup-simplify]: Simplify 0 into 0 23.607 * [backup-simplify]: Simplify 1 into 1 23.607 * [backup-simplify]: Simplify (+ n 0) into n 23.607 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.607 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 23.607 * [taylor]: Taking taylor expansion of n in f 23.607 * [backup-simplify]: Simplify n into n 23.607 * [taylor]: Taking taylor expansion of (+ n f) in f 23.607 * [taylor]: Taking taylor expansion of n in f 23.607 * [backup-simplify]: Simplify n into n 23.607 * [taylor]: Taking taylor expansion of f in f 23.607 * [backup-simplify]: Simplify 0 into 0 23.607 * [backup-simplify]: Simplify 1 into 1 23.607 * [backup-simplify]: Simplify (+ n 0) into n 23.607 * [backup-simplify]: Simplify (/ n n) into 1 23.607 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 23.607 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 23.607 * [taylor]: Taking taylor expansion of f in f 23.607 * [backup-simplify]: Simplify 0 into 0 23.607 * [backup-simplify]: Simplify 1 into 1 23.607 * [taylor]: Taking taylor expansion of (+ n f) in f 23.607 * [taylor]: Taking taylor expansion of n in f 23.607 * [backup-simplify]: Simplify n into n 23.607 * [taylor]: Taking taylor expansion of f in f 23.607 * [backup-simplify]: Simplify 0 into 0 23.607 * [backup-simplify]: Simplify 1 into 1 23.607 * [backup-simplify]: Simplify (+ n 0) into n 23.607 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.607 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 23.607 * [taylor]: Taking taylor expansion of n in f 23.607 * [backup-simplify]: Simplify n into n 23.607 * [taylor]: Taking taylor expansion of (+ n f) in f 23.607 * [taylor]: Taking taylor expansion of n in f 23.607 * [backup-simplify]: Simplify n into n 23.607 * [taylor]: Taking taylor expansion of f in f 23.607 * [backup-simplify]: Simplify 0 into 0 23.607 * [backup-simplify]: Simplify 1 into 1 23.607 * [backup-simplify]: Simplify (+ n 0) into n 23.607 * [backup-simplify]: Simplify (/ n n) into 1 23.608 * [backup-simplify]: Simplify (- 1) into -1 23.608 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.608 * [taylor]: Taking taylor expansion of -1 in n 23.608 * [backup-simplify]: Simplify -1 into -1 23.608 * [backup-simplify]: Simplify -1 into -1 23.609 * [backup-simplify]: Simplify (+ 0 1) into 1 23.609 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 23.609 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 23.609 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 23.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 23.609 * [taylor]: Taking taylor expansion of 2 in n 23.609 * [backup-simplify]: Simplify 2 into 2 23.609 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.609 * [taylor]: Taking taylor expansion of n in n 23.609 * [backup-simplify]: Simplify 0 into 0 23.609 * [backup-simplify]: Simplify 1 into 1 23.609 * [backup-simplify]: Simplify (/ 1 1) into 1 23.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.610 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 23.610 * [backup-simplify]: Simplify 0 into 0 23.610 * [backup-simplify]: Simplify 0 into 0 23.610 * [backup-simplify]: Simplify (+ 0 1) into 1 23.611 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 23.611 * [backup-simplify]: Simplify (+ 0 0) into 0 23.611 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 23.611 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 23.611 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 23.611 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 23.611 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 23.611 * [taylor]: Taking taylor expansion of 2 in n 23.611 * [backup-simplify]: Simplify 2 into 2 23.611 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 23.611 * [taylor]: Taking taylor expansion of (pow n 2) in n 23.611 * [taylor]: Taking taylor expansion of n in n 23.611 * [backup-simplify]: Simplify 0 into 0 23.611 * [backup-simplify]: Simplify 1 into 1 23.611 * [backup-simplify]: Simplify (* 1 1) into 1 23.612 * [backup-simplify]: Simplify (/ 1 1) into 1 23.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.614 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.615 * [backup-simplify]: Simplify (- 0) into 0 23.615 * [backup-simplify]: Simplify 0 into 0 23.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.616 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.616 * [backup-simplify]: Simplify 0 into 0 23.616 * [backup-simplify]: Simplify 0 into 0 23.616 * [backup-simplify]: Simplify (+ 0 0) into 0 23.617 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 23.617 * [backup-simplify]: Simplify (+ 0 0) into 0 23.617 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 23.617 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 23.617 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 23.617 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 23.617 * [taylor]: Taking taylor expansion of 2 in n 23.617 * [backup-simplify]: Simplify 2 into 2 23.617 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 23.617 * [taylor]: Taking taylor expansion of (pow n 3) in n 23.617 * [taylor]: Taking taylor expansion of n in n 23.617 * [backup-simplify]: Simplify 0 into 0 23.617 * [backup-simplify]: Simplify 1 into 1 23.618 * [backup-simplify]: Simplify (* 1 1) into 1 23.618 * [backup-simplify]: Simplify (* 1 1) into 1 23.618 * [backup-simplify]: Simplify (/ 1 1) into 1 23.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.624 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.624 * [backup-simplify]: Simplify 0 into 0 23.624 * [backup-simplify]: Simplify -1 into -1 23.624 * [backup-simplify]: Simplify (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 23.625 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 23.625 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 23.625 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 23.625 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 23.625 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.625 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.625 * [taylor]: Taking taylor expansion of f in n 23.625 * [backup-simplify]: Simplify f into f 23.625 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.625 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.625 * [taylor]: Taking taylor expansion of n in n 23.625 * [backup-simplify]: Simplify 0 into 0 23.625 * [backup-simplify]: Simplify 1 into 1 23.625 * [backup-simplify]: Simplify (/ 1 1) into 1 23.625 * [taylor]: Taking taylor expansion of f in n 23.625 * [backup-simplify]: Simplify f into f 23.625 * [backup-simplify]: Simplify (+ 0 1) into 1 23.625 * [backup-simplify]: Simplify (* 1 f) into f 23.625 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.625 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 23.625 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 23.626 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.626 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.626 * [taylor]: Taking taylor expansion of f in n 23.626 * [backup-simplify]: Simplify f into f 23.626 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.626 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.626 * [taylor]: Taking taylor expansion of n in n 23.626 * [backup-simplify]: Simplify 0 into 0 23.626 * [backup-simplify]: Simplify 1 into 1 23.626 * [backup-simplify]: Simplify (/ 1 1) into 1 23.626 * [taylor]: Taking taylor expansion of n in n 23.626 * [backup-simplify]: Simplify 0 into 0 23.626 * [backup-simplify]: Simplify 1 into 1 23.626 * [backup-simplify]: Simplify (+ 0 1) into 1 23.626 * [backup-simplify]: Simplify (* 1 0) into 0 23.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.627 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 23.627 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 23.628 * [backup-simplify]: Simplify (/ 1 1) into 1 23.628 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 23.628 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.628 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.628 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.628 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.628 * [taylor]: Taking taylor expansion of f in f 23.628 * [backup-simplify]: Simplify 0 into 0 23.628 * [backup-simplify]: Simplify 1 into 1 23.628 * [backup-simplify]: Simplify (/ 1 1) into 1 23.628 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.628 * [taylor]: Taking taylor expansion of n in f 23.628 * [backup-simplify]: Simplify n into n 23.628 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.628 * [taylor]: Taking taylor expansion of f in f 23.628 * [backup-simplify]: Simplify 0 into 0 23.628 * [backup-simplify]: Simplify 1 into 1 23.628 * [backup-simplify]: Simplify (+ 1 0) into 1 23.629 * [backup-simplify]: Simplify (* 1 0) into 0 23.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.629 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.629 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.630 * [backup-simplify]: Simplify (/ 1 1) into 1 23.630 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 23.630 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 23.630 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.630 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.630 * [taylor]: Taking taylor expansion of f in f 23.630 * [backup-simplify]: Simplify 0 into 0 23.630 * [backup-simplify]: Simplify 1 into 1 23.630 * [backup-simplify]: Simplify (/ 1 1) into 1 23.630 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.630 * [taylor]: Taking taylor expansion of n in f 23.630 * [backup-simplify]: Simplify n into n 23.630 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.630 * [taylor]: Taking taylor expansion of n in f 23.630 * [backup-simplify]: Simplify n into n 23.630 * [backup-simplify]: Simplify (+ 1 0) into 1 23.630 * [backup-simplify]: Simplify (* 1 n) into n 23.630 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.631 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 23.631 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.631 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.631 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.631 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.631 * [taylor]: Taking taylor expansion of f in f 23.631 * [backup-simplify]: Simplify 0 into 0 23.631 * [backup-simplify]: Simplify 1 into 1 23.631 * [backup-simplify]: Simplify (/ 1 1) into 1 23.631 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.631 * [taylor]: Taking taylor expansion of n in f 23.631 * [backup-simplify]: Simplify n into n 23.631 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.631 * [taylor]: Taking taylor expansion of f in f 23.631 * [backup-simplify]: Simplify 0 into 0 23.631 * [backup-simplify]: Simplify 1 into 1 23.631 * [backup-simplify]: Simplify (+ 1 0) into 1 23.632 * [backup-simplify]: Simplify (* 1 0) into 0 23.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.632 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.632 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.633 * [backup-simplify]: Simplify (/ 1 1) into 1 23.633 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 23.633 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 23.633 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.633 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.633 * [taylor]: Taking taylor expansion of f in f 23.633 * [backup-simplify]: Simplify 0 into 0 23.633 * [backup-simplify]: Simplify 1 into 1 23.633 * [backup-simplify]: Simplify (/ 1 1) into 1 23.633 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.633 * [taylor]: Taking taylor expansion of n in f 23.633 * [backup-simplify]: Simplify n into n 23.633 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.633 * [taylor]: Taking taylor expansion of n in f 23.633 * [backup-simplify]: Simplify n into n 23.633 * [backup-simplify]: Simplify (+ 1 0) into 1 23.633 * [backup-simplify]: Simplify (* 1 n) into n 23.633 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.634 * [backup-simplify]: Simplify (+ 1 0) into 1 23.634 * [taylor]: Taking taylor expansion of 1 in n 23.634 * [backup-simplify]: Simplify 1 into 1 23.634 * [backup-simplify]: Simplify 1 into 1 23.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 23.635 * [backup-simplify]: Simplify (+ 0 0) into 0 23.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 23.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 23.635 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 23.635 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 23.635 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 23.635 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 23.635 * [taylor]: Taking taylor expansion of 2 in n 23.635 * [backup-simplify]: Simplify 2 into 2 23.635 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.635 * [taylor]: Taking taylor expansion of n in n 23.635 * [backup-simplify]: Simplify 0 into 0 23.636 * [backup-simplify]: Simplify 1 into 1 23.636 * [backup-simplify]: Simplify (/ 1 1) into 1 23.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.637 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 23.637 * [backup-simplify]: Simplify (- 0) into 0 23.637 * [backup-simplify]: Simplify 0 into 0 23.637 * [backup-simplify]: Simplify 0 into 0 23.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 23.638 * [backup-simplify]: Simplify (+ 0 0) into 0 23.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 23.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 23.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.640 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.640 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 23.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 23.640 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 23.640 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 23.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 23.640 * [taylor]: Taking taylor expansion of 2 in n 23.640 * [backup-simplify]: Simplify 2 into 2 23.640 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 23.640 * [taylor]: Taking taylor expansion of (pow n 2) in n 23.640 * [taylor]: Taking taylor expansion of n in n 23.640 * [backup-simplify]: Simplify 0 into 0 23.640 * [backup-simplify]: Simplify 1 into 1 23.641 * [backup-simplify]: Simplify (* 1 1) into 1 23.641 * [backup-simplify]: Simplify (/ 1 1) into 1 23.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.643 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.643 * [backup-simplify]: Simplify 0 into 0 23.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.645 * [backup-simplify]: Simplify (- 0) into 0 23.645 * [backup-simplify]: Simplify 0 into 0 23.645 * [backup-simplify]: Simplify 0 into 0 23.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 23.646 * [backup-simplify]: Simplify (+ 0 0) into 0 23.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 23.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 23.649 * [backup-simplify]: Simplify (+ 0 0) into 0 23.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 23.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 23.649 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 23.649 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 23.649 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 23.649 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 23.649 * [taylor]: Taking taylor expansion of 2 in n 23.649 * [backup-simplify]: Simplify 2 into 2 23.649 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 23.649 * [taylor]: Taking taylor expansion of (pow n 3) in n 23.649 * [taylor]: Taking taylor expansion of n in n 23.649 * [backup-simplify]: Simplify 0 into 0 23.649 * [backup-simplify]: Simplify 1 into 1 23.650 * [backup-simplify]: Simplify (* 1 1) into 1 23.650 * [backup-simplify]: Simplify (* 1 1) into 1 23.650 * [backup-simplify]: Simplify (/ 1 1) into 1 23.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.659 * [backup-simplify]: Simplify (- 0) into 0 23.659 * [backup-simplify]: Simplify 0 into 0 23.659 * [backup-simplify]: Simplify 1 into 1 23.659 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 23.659 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 23.659 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 23.660 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 23.660 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 23.660 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.660 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.660 * [taylor]: Taking taylor expansion of f in n 23.660 * [backup-simplify]: Simplify f into f 23.660 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.660 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.660 * [taylor]: Taking taylor expansion of n in n 23.660 * [backup-simplify]: Simplify 0 into 0 23.660 * [backup-simplify]: Simplify 1 into 1 23.660 * [backup-simplify]: Simplify (/ 1 1) into 1 23.660 * [taylor]: Taking taylor expansion of f in n 23.660 * [backup-simplify]: Simplify f into f 23.661 * [backup-simplify]: Simplify (+ 0 1) into 1 23.661 * [backup-simplify]: Simplify (* 1 f) into f 23.661 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.661 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 23.661 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 23.661 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.661 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.661 * [taylor]: Taking taylor expansion of f in n 23.661 * [backup-simplify]: Simplify f into f 23.661 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.661 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.661 * [taylor]: Taking taylor expansion of n in n 23.661 * [backup-simplify]: Simplify 0 into 0 23.661 * [backup-simplify]: Simplify 1 into 1 23.661 * [backup-simplify]: Simplify (/ 1 1) into 1 23.661 * [taylor]: Taking taylor expansion of n in n 23.661 * [backup-simplify]: Simplify 0 into 0 23.661 * [backup-simplify]: Simplify 1 into 1 23.662 * [backup-simplify]: Simplify (+ 0 1) into 1 23.662 * [backup-simplify]: Simplify (* 1 0) into 0 23.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.663 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 23.663 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 23.664 * [backup-simplify]: Simplify (/ 1 1) into 1 23.664 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 23.664 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.664 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.664 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.664 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.664 * [taylor]: Taking taylor expansion of f in f 23.664 * [backup-simplify]: Simplify 0 into 0 23.664 * [backup-simplify]: Simplify 1 into 1 23.664 * [backup-simplify]: Simplify (/ 1 1) into 1 23.664 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.664 * [taylor]: Taking taylor expansion of n in f 23.664 * [backup-simplify]: Simplify n into n 23.665 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.665 * [taylor]: Taking taylor expansion of f in f 23.665 * [backup-simplify]: Simplify 0 into 0 23.665 * [backup-simplify]: Simplify 1 into 1 23.665 * [backup-simplify]: Simplify (+ 1 0) into 1 23.665 * [backup-simplify]: Simplify (* 1 0) into 0 23.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.667 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.667 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.667 * [backup-simplify]: Simplify (/ 1 1) into 1 23.667 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 23.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 23.667 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.667 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.667 * [taylor]: Taking taylor expansion of f in f 23.667 * [backup-simplify]: Simplify 0 into 0 23.667 * [backup-simplify]: Simplify 1 into 1 23.668 * [backup-simplify]: Simplify (/ 1 1) into 1 23.668 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.668 * [taylor]: Taking taylor expansion of n in f 23.668 * [backup-simplify]: Simplify n into n 23.668 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.668 * [taylor]: Taking taylor expansion of n in f 23.668 * [backup-simplify]: Simplify n into n 23.668 * [backup-simplify]: Simplify (+ 1 0) into 1 23.668 * [backup-simplify]: Simplify (* 1 n) into n 23.669 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.669 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 23.669 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.669 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.669 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.669 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.669 * [taylor]: Taking taylor expansion of f in f 23.669 * [backup-simplify]: Simplify 0 into 0 23.669 * [backup-simplify]: Simplify 1 into 1 23.669 * [backup-simplify]: Simplify (/ 1 1) into 1 23.669 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.669 * [taylor]: Taking taylor expansion of n in f 23.669 * [backup-simplify]: Simplify n into n 23.669 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.669 * [taylor]: Taking taylor expansion of f in f 23.669 * [backup-simplify]: Simplify 0 into 0 23.669 * [backup-simplify]: Simplify 1 into 1 23.670 * [backup-simplify]: Simplify (+ 1 0) into 1 23.670 * [backup-simplify]: Simplify (* 1 0) into 0 23.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.671 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.671 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.672 * [backup-simplify]: Simplify (/ 1 1) into 1 23.672 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 23.672 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 23.672 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.672 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.672 * [taylor]: Taking taylor expansion of f in f 23.672 * [backup-simplify]: Simplify 0 into 0 23.672 * [backup-simplify]: Simplify 1 into 1 23.672 * [backup-simplify]: Simplify (/ 1 1) into 1 23.672 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.672 * [taylor]: Taking taylor expansion of n in f 23.672 * [backup-simplify]: Simplify n into n 23.672 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.672 * [taylor]: Taking taylor expansion of n in f 23.672 * [backup-simplify]: Simplify n into n 23.673 * [backup-simplify]: Simplify (+ 1 0) into 1 23.673 * [backup-simplify]: Simplify (* 1 n) into n 23.673 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.673 * [backup-simplify]: Simplify (+ 1 0) into 1 23.673 * [taylor]: Taking taylor expansion of 1 in n 23.673 * [backup-simplify]: Simplify 1 into 1 23.673 * [backup-simplify]: Simplify 1 into 1 23.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 23.675 * [backup-simplify]: Simplify (+ 0 0) into 0 23.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 23.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 23.676 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 23.676 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 23.676 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 23.676 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 23.676 * [taylor]: Taking taylor expansion of 2 in n 23.676 * [backup-simplify]: Simplify 2 into 2 23.676 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.676 * [taylor]: Taking taylor expansion of n in n 23.676 * [backup-simplify]: Simplify 0 into 0 23.676 * [backup-simplify]: Simplify 1 into 1 23.677 * [backup-simplify]: Simplify (/ 1 1) into 1 23.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.678 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 23.678 * [backup-simplify]: Simplify (- 0) into 0 23.678 * [backup-simplify]: Simplify 0 into 0 23.678 * [backup-simplify]: Simplify 0 into 0 23.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 23.680 * [backup-simplify]: Simplify (+ 0 0) into 0 23.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 23.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 23.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.690 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.690 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 23.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 23.690 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 23.690 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 23.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 23.690 * [taylor]: Taking taylor expansion of 2 in n 23.690 * [backup-simplify]: Simplify 2 into 2 23.690 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 23.690 * [taylor]: Taking taylor expansion of (pow n 2) in n 23.690 * [taylor]: Taking taylor expansion of n in n 23.690 * [backup-simplify]: Simplify 0 into 0 23.690 * [backup-simplify]: Simplify 1 into 1 23.691 * [backup-simplify]: Simplify (* 1 1) into 1 23.691 * [backup-simplify]: Simplify (/ 1 1) into 1 23.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.694 * [backup-simplify]: Simplify 0 into 0 23.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.695 * [backup-simplify]: Simplify (- 0) into 0 23.695 * [backup-simplify]: Simplify 0 into 0 23.695 * [backup-simplify]: Simplify 0 into 0 23.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 23.696 * [backup-simplify]: Simplify (+ 0 0) into 0 23.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 23.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 23.699 * [backup-simplify]: Simplify (+ 0 0) into 0 23.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 23.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 23.699 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 23.699 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 23.699 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 23.699 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 23.699 * [taylor]: Taking taylor expansion of 2 in n 23.699 * [backup-simplify]: Simplify 2 into 2 23.699 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 23.699 * [taylor]: Taking taylor expansion of (pow n 3) in n 23.699 * [taylor]: Taking taylor expansion of n in n 23.699 * [backup-simplify]: Simplify 0 into 0 23.699 * [backup-simplify]: Simplify 1 into 1 23.700 * [backup-simplify]: Simplify (* 1 1) into 1 23.700 * [backup-simplify]: Simplify (* 1 1) into 1 23.700 * [backup-simplify]: Simplify (/ 1 1) into 1 23.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.708 * [backup-simplify]: Simplify (- 0) into 0 23.708 * [backup-simplify]: Simplify 0 into 0 23.708 * [backup-simplify]: Simplify 1 into 1 23.708 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 23.708 * [backup-simplify]: Simplify (/ f (+ f n)) into (/ f (+ n f)) 23.708 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 23.708 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 23.708 * [taylor]: Taking taylor expansion of f in n 23.708 * [backup-simplify]: Simplify f into f 23.708 * [taylor]: Taking taylor expansion of (+ n f) in n 23.708 * [taylor]: Taking taylor expansion of n in n 23.708 * [backup-simplify]: Simplify 0 into 0 23.708 * [backup-simplify]: Simplify 1 into 1 23.708 * [taylor]: Taking taylor expansion of f in n 23.708 * [backup-simplify]: Simplify f into f 23.708 * [backup-simplify]: Simplify (+ 0 f) into f 23.708 * [backup-simplify]: Simplify (/ f f) into 1 23.708 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 23.708 * [taylor]: Taking taylor expansion of f in f 23.709 * [backup-simplify]: Simplify 0 into 0 23.709 * [backup-simplify]: Simplify 1 into 1 23.709 * [taylor]: Taking taylor expansion of (+ n f) in f 23.709 * [taylor]: Taking taylor expansion of n in f 23.709 * [backup-simplify]: Simplify n into n 23.709 * [taylor]: Taking taylor expansion of f in f 23.709 * [backup-simplify]: Simplify 0 into 0 23.709 * [backup-simplify]: Simplify 1 into 1 23.709 * [backup-simplify]: Simplify (+ n 0) into n 23.709 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.709 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 23.709 * [taylor]: Taking taylor expansion of f in f 23.709 * [backup-simplify]: Simplify 0 into 0 23.709 * [backup-simplify]: Simplify 1 into 1 23.709 * [taylor]: Taking taylor expansion of (+ n f) in f 23.709 * [taylor]: Taking taylor expansion of n in f 23.709 * [backup-simplify]: Simplify n into n 23.709 * [taylor]: Taking taylor expansion of f in f 23.709 * [backup-simplify]: Simplify 0 into 0 23.709 * [backup-simplify]: Simplify 1 into 1 23.709 * [backup-simplify]: Simplify (+ n 0) into n 23.709 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.709 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.709 * [taylor]: Taking taylor expansion of n in n 23.709 * [backup-simplify]: Simplify 0 into 0 23.709 * [backup-simplify]: Simplify 1 into 1 23.710 * [backup-simplify]: Simplify (/ 1 1) into 1 23.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.710 * [backup-simplify]: Simplify 0 into 0 23.711 * [backup-simplify]: Simplify (+ 0 1) into 1 23.711 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 23.711 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 23.711 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 23.711 * [taylor]: Taking taylor expansion of (pow n 2) in n 23.711 * [taylor]: Taking taylor expansion of n in n 23.711 * [backup-simplify]: Simplify 0 into 0 23.711 * [backup-simplify]: Simplify 1 into 1 23.712 * [backup-simplify]: Simplify (* 1 1) into 1 23.712 * [backup-simplify]: Simplify (/ 1 1) into 1 23.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.715 * [backup-simplify]: Simplify (- 0) into 0 23.715 * [backup-simplify]: Simplify 0 into 0 23.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.717 * [backup-simplify]: Simplify 0 into 0 23.717 * [backup-simplify]: Simplify (+ 0 0) into 0 23.717 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 23.717 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 23.717 * [taylor]: Taking taylor expansion of (pow n 3) in n 23.718 * [taylor]: Taking taylor expansion of n in n 23.718 * [backup-simplify]: Simplify 0 into 0 23.718 * [backup-simplify]: Simplify 1 into 1 23.718 * [backup-simplify]: Simplify (* 1 1) into 1 23.718 * [backup-simplify]: Simplify (* 1 1) into 1 23.719 * [backup-simplify]: Simplify (/ 1 1) into 1 23.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.726 * [backup-simplify]: Simplify 0 into 0 23.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.729 * [backup-simplify]: Simplify (- 0) into 0 23.729 * [backup-simplify]: Simplify 0 into 0 23.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.730 * [backup-simplify]: Simplify 0 into 0 23.730 * [backup-simplify]: Simplify 0 into 0 23.730 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 23.730 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 23.730 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 23.730 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 23.730 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.730 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.730 * [taylor]: Taking taylor expansion of f in n 23.730 * [backup-simplify]: Simplify f into f 23.730 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.730 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.730 * [taylor]: Taking taylor expansion of n in n 23.730 * [backup-simplify]: Simplify 0 into 0 23.730 * [backup-simplify]: Simplify 1 into 1 23.731 * [backup-simplify]: Simplify (/ 1 1) into 1 23.731 * [taylor]: Taking taylor expansion of f in n 23.731 * [backup-simplify]: Simplify f into f 23.731 * [backup-simplify]: Simplify (+ 0 1) into 1 23.731 * [backup-simplify]: Simplify (* 1 f) into f 23.731 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.731 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.731 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.731 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.731 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.731 * [taylor]: Taking taylor expansion of f in f 23.731 * [backup-simplify]: Simplify 0 into 0 23.731 * [backup-simplify]: Simplify 1 into 1 23.732 * [backup-simplify]: Simplify (/ 1 1) into 1 23.732 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.732 * [taylor]: Taking taylor expansion of n in f 23.732 * [backup-simplify]: Simplify n into n 23.732 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.732 * [taylor]: Taking taylor expansion of f in f 23.732 * [backup-simplify]: Simplify 0 into 0 23.732 * [backup-simplify]: Simplify 1 into 1 23.732 * [backup-simplify]: Simplify (+ 1 0) into 1 23.733 * [backup-simplify]: Simplify (* 1 0) into 0 23.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.734 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.734 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.734 * [backup-simplify]: Simplify (/ 1 1) into 1 23.734 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.734 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.734 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.734 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.734 * [taylor]: Taking taylor expansion of f in f 23.735 * [backup-simplify]: Simplify 0 into 0 23.735 * [backup-simplify]: Simplify 1 into 1 23.735 * [backup-simplify]: Simplify (/ 1 1) into 1 23.735 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.735 * [taylor]: Taking taylor expansion of n in f 23.735 * [backup-simplify]: Simplify n into n 23.735 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.735 * [taylor]: Taking taylor expansion of f in f 23.735 * [backup-simplify]: Simplify 0 into 0 23.735 * [backup-simplify]: Simplify 1 into 1 23.736 * [backup-simplify]: Simplify (+ 1 0) into 1 23.736 * [backup-simplify]: Simplify (* 1 0) into 0 23.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.737 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.738 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.738 * [backup-simplify]: Simplify (/ 1 1) into 1 23.738 * [taylor]: Taking taylor expansion of 1 in n 23.738 * [backup-simplify]: Simplify 1 into 1 23.738 * [backup-simplify]: Simplify 0 into 0 23.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 23.740 * [backup-simplify]: Simplify (+ 0 0) into 0 23.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 23.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 23.741 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 23.741 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.741 * [taylor]: Taking taylor expansion of n in n 23.741 * [backup-simplify]: Simplify 0 into 0 23.741 * [backup-simplify]: Simplify 1 into 1 23.741 * [backup-simplify]: Simplify (/ 1 1) into 1 23.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.743 * [backup-simplify]: Simplify (- 0) into 0 23.743 * [backup-simplify]: Simplify 0 into 0 23.743 * [backup-simplify]: Simplify 0 into 0 23.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 23.745 * [backup-simplify]: Simplify (+ 0 0) into 0 23.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 23.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 23.747 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 23.747 * [taylor]: Taking taylor expansion of (pow n 2) in n 23.747 * [taylor]: Taking taylor expansion of n in n 23.747 * [backup-simplify]: Simplify 0 into 0 23.747 * [backup-simplify]: Simplify 1 into 1 23.747 * [backup-simplify]: Simplify (* 1 1) into 1 23.748 * [backup-simplify]: Simplify (/ 1 1) into 1 23.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.753 * [backup-simplify]: Simplify 0 into 0 23.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.754 * [backup-simplify]: Simplify (- 0) into 0 23.754 * [backup-simplify]: Simplify 0 into 0 23.754 * [backup-simplify]: Simplify 0 into 0 23.754 * [backup-simplify]: Simplify 0 into 0 23.754 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 23.754 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 23.754 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 23.754 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 23.754 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.754 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.754 * [taylor]: Taking taylor expansion of f in n 23.754 * [backup-simplify]: Simplify f into f 23.755 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.755 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.755 * [taylor]: Taking taylor expansion of n in n 23.755 * [backup-simplify]: Simplify 0 into 0 23.755 * [backup-simplify]: Simplify 1 into 1 23.755 * [backup-simplify]: Simplify (/ 1 1) into 1 23.755 * [taylor]: Taking taylor expansion of f in n 23.755 * [backup-simplify]: Simplify f into f 23.755 * [backup-simplify]: Simplify (+ 0 1) into 1 23.756 * [backup-simplify]: Simplify (* 1 f) into f 23.756 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.756 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.756 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.756 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.756 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.756 * [taylor]: Taking taylor expansion of f in f 23.756 * [backup-simplify]: Simplify 0 into 0 23.756 * [backup-simplify]: Simplify 1 into 1 23.756 * [backup-simplify]: Simplify (/ 1 1) into 1 23.756 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.756 * [taylor]: Taking taylor expansion of n in f 23.756 * [backup-simplify]: Simplify n into n 23.756 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.756 * [taylor]: Taking taylor expansion of f in f 23.756 * [backup-simplify]: Simplify 0 into 0 23.756 * [backup-simplify]: Simplify 1 into 1 23.757 * [backup-simplify]: Simplify (+ 1 0) into 1 23.757 * [backup-simplify]: Simplify (* 1 0) into 0 23.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.758 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.758 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.759 * [backup-simplify]: Simplify (/ 1 1) into 1 23.759 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.759 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.759 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.759 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.759 * [taylor]: Taking taylor expansion of f in f 23.759 * [backup-simplify]: Simplify 0 into 0 23.759 * [backup-simplify]: Simplify 1 into 1 23.759 * [backup-simplify]: Simplify (/ 1 1) into 1 23.759 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.759 * [taylor]: Taking taylor expansion of n in f 23.759 * [backup-simplify]: Simplify n into n 23.759 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.759 * [taylor]: Taking taylor expansion of f in f 23.759 * [backup-simplify]: Simplify 0 into 0 23.760 * [backup-simplify]: Simplify 1 into 1 23.760 * [backup-simplify]: Simplify (+ 1 0) into 1 23.760 * [backup-simplify]: Simplify (* 1 0) into 0 23.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.761 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.762 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.762 * [backup-simplify]: Simplify (/ 1 1) into 1 23.762 * [taylor]: Taking taylor expansion of 1 in n 23.762 * [backup-simplify]: Simplify 1 into 1 23.762 * [backup-simplify]: Simplify 0 into 0 23.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 23.763 * [backup-simplify]: Simplify (+ 0 0) into 0 23.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 23.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 23.764 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 23.764 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.764 * [taylor]: Taking taylor expansion of n in n 23.764 * [backup-simplify]: Simplify 0 into 0 23.765 * [backup-simplify]: Simplify 1 into 1 23.765 * [backup-simplify]: Simplify (/ 1 1) into 1 23.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.767 * [backup-simplify]: Simplify (- 0) into 0 23.767 * [backup-simplify]: Simplify 0 into 0 23.767 * [backup-simplify]: Simplify 0 into 0 23.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 23.768 * [backup-simplify]: Simplify (+ 0 0) into 0 23.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 23.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 23.770 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 23.770 * [taylor]: Taking taylor expansion of (pow n 2) in n 23.770 * [taylor]: Taking taylor expansion of n in n 23.770 * [backup-simplify]: Simplify 0 into 0 23.770 * [backup-simplify]: Simplify 1 into 1 23.771 * [backup-simplify]: Simplify (* 1 1) into 1 23.771 * [backup-simplify]: Simplify (/ 1 1) into 1 23.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.776 * [backup-simplify]: Simplify 0 into 0 23.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.778 * [backup-simplify]: Simplify (- 0) into 0 23.778 * [backup-simplify]: Simplify 0 into 0 23.778 * [backup-simplify]: Simplify 0 into 0 23.778 * [backup-simplify]: Simplify 0 into 0 23.778 * * * * [progress]: [ 3 / 4 ] generating series at (2) 23.778 * [backup-simplify]: Simplify (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 23.778 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 23.778 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 23.778 * [taylor]: Taking taylor expansion of -1 in n 23.778 * [backup-simplify]: Simplify -1 into -1 23.778 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 23.778 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 23.778 * [taylor]: Taking taylor expansion of f in n 23.778 * [backup-simplify]: Simplify f into f 23.778 * [taylor]: Taking taylor expansion of (+ n f) in n 23.778 * [taylor]: Taking taylor expansion of n in n 23.778 * [backup-simplify]: Simplify 0 into 0 23.778 * [backup-simplify]: Simplify 1 into 1 23.778 * [taylor]: Taking taylor expansion of f in n 23.779 * [backup-simplify]: Simplify f into f 23.779 * [backup-simplify]: Simplify (+ 0 f) into f 23.779 * [backup-simplify]: Simplify (/ f f) into 1 23.779 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 23.779 * [taylor]: Taking taylor expansion of n in n 23.779 * [backup-simplify]: Simplify 0 into 0 23.779 * [backup-simplify]: Simplify 1 into 1 23.779 * [taylor]: Taking taylor expansion of (+ n f) in n 23.779 * [taylor]: Taking taylor expansion of n in n 23.779 * [backup-simplify]: Simplify 0 into 0 23.779 * [backup-simplify]: Simplify 1 into 1 23.779 * [taylor]: Taking taylor expansion of f in n 23.779 * [backup-simplify]: Simplify f into f 23.779 * [backup-simplify]: Simplify (+ 0 f) into f 23.779 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.779 * [backup-simplify]: Simplify (+ 1 0) into 1 23.780 * [backup-simplify]: Simplify (/ -1 1) into -1 23.780 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 23.780 * [taylor]: Taking taylor expansion of -1 in f 23.780 * [backup-simplify]: Simplify -1 into -1 23.780 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 23.780 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 23.780 * [taylor]: Taking taylor expansion of f in f 23.780 * [backup-simplify]: Simplify 0 into 0 23.780 * [backup-simplify]: Simplify 1 into 1 23.780 * [taylor]: Taking taylor expansion of (+ n f) in f 23.780 * [taylor]: Taking taylor expansion of n in f 23.780 * [backup-simplify]: Simplify n into n 23.780 * [taylor]: Taking taylor expansion of f in f 23.780 * [backup-simplify]: Simplify 0 into 0 23.780 * [backup-simplify]: Simplify 1 into 1 23.780 * [backup-simplify]: Simplify (+ n 0) into n 23.780 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.780 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 23.780 * [taylor]: Taking taylor expansion of n in f 23.780 * [backup-simplify]: Simplify n into n 23.780 * [taylor]: Taking taylor expansion of (+ n f) in f 23.780 * [taylor]: Taking taylor expansion of n in f 23.780 * [backup-simplify]: Simplify n into n 23.780 * [taylor]: Taking taylor expansion of f in f 23.780 * [backup-simplify]: Simplify 0 into 0 23.780 * [backup-simplify]: Simplify 1 into 1 23.780 * [backup-simplify]: Simplify (+ n 0) into n 23.781 * [backup-simplify]: Simplify (/ n n) into 1 23.781 * [backup-simplify]: Simplify (- 1) into -1 23.781 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.782 * [backup-simplify]: Simplify (/ -1 -1) into 1 23.782 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 23.782 * [taylor]: Taking taylor expansion of -1 in f 23.782 * [backup-simplify]: Simplify -1 into -1 23.782 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 23.782 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 23.782 * [taylor]: Taking taylor expansion of f in f 23.782 * [backup-simplify]: Simplify 0 into 0 23.782 * [backup-simplify]: Simplify 1 into 1 23.782 * [taylor]: Taking taylor expansion of (+ n f) in f 23.782 * [taylor]: Taking taylor expansion of n in f 23.782 * [backup-simplify]: Simplify n into n 23.782 * [taylor]: Taking taylor expansion of f in f 23.782 * [backup-simplify]: Simplify 0 into 0 23.782 * [backup-simplify]: Simplify 1 into 1 23.782 * [backup-simplify]: Simplify (+ n 0) into n 23.782 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.782 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 23.782 * [taylor]: Taking taylor expansion of n in f 23.782 * [backup-simplify]: Simplify n into n 23.782 * [taylor]: Taking taylor expansion of (+ n f) in f 23.782 * [taylor]: Taking taylor expansion of n in f 23.782 * [backup-simplify]: Simplify n into n 23.782 * [taylor]: Taking taylor expansion of f in f 23.782 * [backup-simplify]: Simplify 0 into 0 23.782 * [backup-simplify]: Simplify 1 into 1 23.782 * [backup-simplify]: Simplify (+ n 0) into n 23.782 * [backup-simplify]: Simplify (/ n n) into 1 23.783 * [backup-simplify]: Simplify (- 1) into -1 23.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.784 * [backup-simplify]: Simplify (/ -1 -1) into 1 23.784 * [taylor]: Taking taylor expansion of 1 in n 23.784 * [backup-simplify]: Simplify 1 into 1 23.784 * [backup-simplify]: Simplify 1 into 1 23.784 * [backup-simplify]: Simplify (+ 0 1) into 1 23.784 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 23.784 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 23.784 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 23.785 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 23.785 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 23.785 * [taylor]: Taking taylor expansion of 2 in n 23.785 * [backup-simplify]: Simplify 2 into 2 23.785 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.785 * [taylor]: Taking taylor expansion of n in n 23.785 * [backup-simplify]: Simplify 0 into 0 23.785 * [backup-simplify]: Simplify 1 into 1 23.786 * [backup-simplify]: Simplify (/ 1 1) into 1 23.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.787 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 23.787 * [backup-simplify]: Simplify 0 into 0 23.787 * [backup-simplify]: Simplify 0 into 0 23.788 * [backup-simplify]: Simplify (+ 0 1) into 1 23.788 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 23.788 * [backup-simplify]: Simplify (+ 0 0) into 0 23.788 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 23.788 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 23.789 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 23.789 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 23.789 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 23.789 * [taylor]: Taking taylor expansion of 2 in n 23.789 * [backup-simplify]: Simplify 2 into 2 23.789 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 23.790 * [taylor]: Taking taylor expansion of (pow n 2) in n 23.790 * [taylor]: Taking taylor expansion of n in n 23.790 * [backup-simplify]: Simplify 0 into 0 23.790 * [backup-simplify]: Simplify 1 into 1 23.790 * [backup-simplify]: Simplify (* 1 1) into 1 23.790 * [backup-simplify]: Simplify (/ 1 1) into 1 23.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.795 * [backup-simplify]: Simplify 0 into 0 23.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.797 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.797 * [backup-simplify]: Simplify 0 into 0 23.797 * [backup-simplify]: Simplify 0 into 0 23.797 * [backup-simplify]: Simplify (+ 0 0) into 0 23.798 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 23.798 * [backup-simplify]: Simplify (+ 0 0) into 0 23.798 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 23.798 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 23.799 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 23.800 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 23.800 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 23.800 * [taylor]: Taking taylor expansion of 2 in n 23.800 * [backup-simplify]: Simplify 2 into 2 23.800 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 23.800 * [taylor]: Taking taylor expansion of (pow n 3) in n 23.800 * [taylor]: Taking taylor expansion of n in n 23.800 * [backup-simplify]: Simplify 0 into 0 23.800 * [backup-simplify]: Simplify 1 into 1 23.800 * [backup-simplify]: Simplify (* 1 1) into 1 23.801 * [backup-simplify]: Simplify (* 1 1) into 1 23.801 * [backup-simplify]: Simplify (/ 1 1) into 1 23.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.810 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.810 * [backup-simplify]: Simplify 0 into 0 23.810 * [backup-simplify]: Simplify 1 into 1 23.810 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 23.810 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 23.810 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 23.810 * [taylor]: Taking taylor expansion of -1 in n 23.810 * [backup-simplify]: Simplify -1 into -1 23.810 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 23.810 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 23.810 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 23.811 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.811 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.811 * [taylor]: Taking taylor expansion of f in n 23.811 * [backup-simplify]: Simplify f into f 23.811 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.811 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.811 * [taylor]: Taking taylor expansion of n in n 23.811 * [backup-simplify]: Simplify 0 into 0 23.811 * [backup-simplify]: Simplify 1 into 1 23.811 * [backup-simplify]: Simplify (/ 1 1) into 1 23.811 * [taylor]: Taking taylor expansion of f in n 23.811 * [backup-simplify]: Simplify f into f 23.812 * [backup-simplify]: Simplify (+ 0 1) into 1 23.812 * [backup-simplify]: Simplify (* 1 f) into f 23.812 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.812 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 23.812 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 23.812 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.812 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.812 * [taylor]: Taking taylor expansion of f in n 23.812 * [backup-simplify]: Simplify f into f 23.812 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.812 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.812 * [taylor]: Taking taylor expansion of n in n 23.812 * [backup-simplify]: Simplify 0 into 0 23.812 * [backup-simplify]: Simplify 1 into 1 23.813 * [backup-simplify]: Simplify (/ 1 1) into 1 23.813 * [taylor]: Taking taylor expansion of n in n 23.813 * [backup-simplify]: Simplify 0 into 0 23.813 * [backup-simplify]: Simplify 1 into 1 23.814 * [backup-simplify]: Simplify (+ 0 1) into 1 23.814 * [backup-simplify]: Simplify (* 1 0) into 0 23.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.815 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 23.816 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 23.816 * [backup-simplify]: Simplify (/ 1 1) into 1 23.816 * [backup-simplify]: Simplify (- 1) into -1 23.817 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.817 * [backup-simplify]: Simplify (/ -1 -1) into 1 23.817 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 23.817 * [taylor]: Taking taylor expansion of -1 in f 23.817 * [backup-simplify]: Simplify -1 into -1 23.817 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 23.818 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.818 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.818 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.818 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.818 * [taylor]: Taking taylor expansion of f in f 23.818 * [backup-simplify]: Simplify 0 into 0 23.818 * [backup-simplify]: Simplify 1 into 1 23.818 * [backup-simplify]: Simplify (/ 1 1) into 1 23.818 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.818 * [taylor]: Taking taylor expansion of n in f 23.818 * [backup-simplify]: Simplify n into n 23.818 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.818 * [taylor]: Taking taylor expansion of f in f 23.818 * [backup-simplify]: Simplify 0 into 0 23.818 * [backup-simplify]: Simplify 1 into 1 23.819 * [backup-simplify]: Simplify (+ 1 0) into 1 23.819 * [backup-simplify]: Simplify (* 1 0) into 0 23.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.820 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.821 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.821 * [backup-simplify]: Simplify (/ 1 1) into 1 23.821 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 23.821 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 23.821 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.821 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.822 * [taylor]: Taking taylor expansion of f in f 23.822 * [backup-simplify]: Simplify 0 into 0 23.822 * [backup-simplify]: Simplify 1 into 1 23.824 * [backup-simplify]: Simplify (/ 1 1) into 1 23.824 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.824 * [taylor]: Taking taylor expansion of n in f 23.824 * [backup-simplify]: Simplify n into n 23.824 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.824 * [taylor]: Taking taylor expansion of n in f 23.824 * [backup-simplify]: Simplify n into n 23.825 * [backup-simplify]: Simplify (+ 1 0) into 1 23.825 * [backup-simplify]: Simplify (* 1 n) into n 23.825 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.825 * [backup-simplify]: Simplify (+ 1 0) into 1 23.826 * [backup-simplify]: Simplify (/ -1 1) into -1 23.826 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 23.826 * [taylor]: Taking taylor expansion of -1 in f 23.826 * [backup-simplify]: Simplify -1 into -1 23.826 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 23.826 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.826 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.826 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.826 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.826 * [taylor]: Taking taylor expansion of f in f 23.826 * [backup-simplify]: Simplify 0 into 0 23.826 * [backup-simplify]: Simplify 1 into 1 23.827 * [backup-simplify]: Simplify (/ 1 1) into 1 23.827 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.827 * [taylor]: Taking taylor expansion of n in f 23.827 * [backup-simplify]: Simplify n into n 23.827 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.827 * [taylor]: Taking taylor expansion of f in f 23.827 * [backup-simplify]: Simplify 0 into 0 23.827 * [backup-simplify]: Simplify 1 into 1 23.828 * [backup-simplify]: Simplify (+ 1 0) into 1 23.828 * [backup-simplify]: Simplify (* 1 0) into 0 23.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.829 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.829 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.830 * [backup-simplify]: Simplify (/ 1 1) into 1 23.830 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 23.830 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 23.830 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.830 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.830 * [taylor]: Taking taylor expansion of f in f 23.830 * [backup-simplify]: Simplify 0 into 0 23.830 * [backup-simplify]: Simplify 1 into 1 23.830 * [backup-simplify]: Simplify (/ 1 1) into 1 23.830 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.831 * [taylor]: Taking taylor expansion of n in f 23.831 * [backup-simplify]: Simplify n into n 23.831 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.831 * [taylor]: Taking taylor expansion of n in f 23.831 * [backup-simplify]: Simplify n into n 23.831 * [backup-simplify]: Simplify (+ 1 0) into 1 23.831 * [backup-simplify]: Simplify (* 1 n) into n 23.831 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.832 * [backup-simplify]: Simplify (+ 1 0) into 1 23.832 * [backup-simplify]: Simplify (/ -1 1) into -1 23.832 * [taylor]: Taking taylor expansion of -1 in n 23.832 * [backup-simplify]: Simplify -1 into -1 23.832 * [backup-simplify]: Simplify -1 into -1 23.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 23.834 * [backup-simplify]: Simplify (+ 0 0) into 0 23.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 23.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 23.835 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 23.835 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 23.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 23.836 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 23.836 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 23.836 * [taylor]: Taking taylor expansion of 2 in n 23.836 * [backup-simplify]: Simplify 2 into 2 23.836 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.836 * [taylor]: Taking taylor expansion of n in n 23.836 * [backup-simplify]: Simplify 0 into 0 23.836 * [backup-simplify]: Simplify 1 into 1 23.836 * [backup-simplify]: Simplify (/ 1 1) into 1 23.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.838 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 23.838 * [backup-simplify]: Simplify (- 0) into 0 23.838 * [backup-simplify]: Simplify 0 into 0 23.838 * [backup-simplify]: Simplify 0 into 0 23.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 23.840 * [backup-simplify]: Simplify (+ 0 0) into 0 23.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 23.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 23.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.843 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.843 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 23.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 23.843 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 23.844 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 23.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 23.844 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 23.845 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 23.845 * [taylor]: Taking taylor expansion of 2 in n 23.845 * [backup-simplify]: Simplify 2 into 2 23.845 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 23.845 * [taylor]: Taking taylor expansion of (pow n 2) in n 23.845 * [taylor]: Taking taylor expansion of n in n 23.845 * [backup-simplify]: Simplify 0 into 0 23.845 * [backup-simplify]: Simplify 1 into 1 23.845 * [backup-simplify]: Simplify (* 1 1) into 1 23.845 * [backup-simplify]: Simplify (/ 1 1) into 1 23.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.850 * [backup-simplify]: Simplify (- 0) into 0 23.850 * [backup-simplify]: Simplify 0 into 0 23.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.853 * [backup-simplify]: Simplify (- 0) into 0 23.853 * [backup-simplify]: Simplify 0 into 0 23.853 * [backup-simplify]: Simplify 0 into 0 23.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 23.854 * [backup-simplify]: Simplify (+ 0 0) into 0 23.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 23.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 23.858 * [backup-simplify]: Simplify (+ 0 0) into 0 23.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 23.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 23.859 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 23.860 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 23.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 23.861 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 23.861 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 23.861 * [taylor]: Taking taylor expansion of 2 in n 23.861 * [backup-simplify]: Simplify 2 into 2 23.861 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 23.861 * [taylor]: Taking taylor expansion of (pow n 3) in n 23.861 * [taylor]: Taking taylor expansion of n in n 23.861 * [backup-simplify]: Simplify 0 into 0 23.861 * [backup-simplify]: Simplify 1 into 1 23.861 * [backup-simplify]: Simplify (* 1 1) into 1 23.862 * [backup-simplify]: Simplify (* 1 1) into 1 23.862 * [backup-simplify]: Simplify (/ 1 1) into 1 23.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.871 * [backup-simplify]: Simplify (- 0) into 0 23.872 * [backup-simplify]: Simplify 0 into 0 23.872 * [backup-simplify]: Simplify -1 into -1 23.872 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 23.872 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 23.872 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 23.872 * [taylor]: Taking taylor expansion of -1 in n 23.872 * [backup-simplify]: Simplify -1 into -1 23.872 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 23.872 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 23.872 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 23.872 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.872 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.872 * [taylor]: Taking taylor expansion of f in n 23.872 * [backup-simplify]: Simplify f into f 23.872 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.872 * [taylor]: Taking taylor expansion of n in n 23.873 * [backup-simplify]: Simplify 0 into 0 23.873 * [backup-simplify]: Simplify 1 into 1 23.873 * [backup-simplify]: Simplify (/ 1 1) into 1 23.873 * [taylor]: Taking taylor expansion of f in n 23.873 * [backup-simplify]: Simplify f into f 23.873 * [backup-simplify]: Simplify (+ 0 1) into 1 23.873 * [backup-simplify]: Simplify (* 1 f) into f 23.874 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.874 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 23.874 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 23.874 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.874 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.874 * [taylor]: Taking taylor expansion of f in n 23.874 * [backup-simplify]: Simplify f into f 23.874 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.874 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.874 * [taylor]: Taking taylor expansion of n in n 23.874 * [backup-simplify]: Simplify 0 into 0 23.874 * [backup-simplify]: Simplify 1 into 1 23.874 * [backup-simplify]: Simplify (/ 1 1) into 1 23.874 * [taylor]: Taking taylor expansion of n in n 23.874 * [backup-simplify]: Simplify 0 into 0 23.874 * [backup-simplify]: Simplify 1 into 1 23.875 * [backup-simplify]: Simplify (+ 0 1) into 1 23.875 * [backup-simplify]: Simplify (* 1 0) into 0 23.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.876 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 23.876 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 23.877 * [backup-simplify]: Simplify (/ 1 1) into 1 23.877 * [backup-simplify]: Simplify (- 1) into -1 23.878 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.878 * [backup-simplify]: Simplify (/ -1 -1) into 1 23.878 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 23.878 * [taylor]: Taking taylor expansion of -1 in f 23.878 * [backup-simplify]: Simplify -1 into -1 23.878 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 23.878 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.878 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.878 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.878 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.879 * [taylor]: Taking taylor expansion of f in f 23.879 * [backup-simplify]: Simplify 0 into 0 23.879 * [backup-simplify]: Simplify 1 into 1 23.879 * [backup-simplify]: Simplify (/ 1 1) into 1 23.879 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.879 * [taylor]: Taking taylor expansion of n in f 23.879 * [backup-simplify]: Simplify n into n 23.879 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.879 * [taylor]: Taking taylor expansion of f in f 23.879 * [backup-simplify]: Simplify 0 into 0 23.879 * [backup-simplify]: Simplify 1 into 1 23.880 * [backup-simplify]: Simplify (+ 1 0) into 1 23.880 * [backup-simplify]: Simplify (* 1 0) into 0 23.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.881 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.881 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.882 * [backup-simplify]: Simplify (/ 1 1) into 1 23.882 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 23.882 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 23.882 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.882 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.882 * [taylor]: Taking taylor expansion of f in f 23.882 * [backup-simplify]: Simplify 0 into 0 23.882 * [backup-simplify]: Simplify 1 into 1 23.882 * [backup-simplify]: Simplify (/ 1 1) into 1 23.882 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.882 * [taylor]: Taking taylor expansion of n in f 23.882 * [backup-simplify]: Simplify n into n 23.882 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.883 * [taylor]: Taking taylor expansion of n in f 23.883 * [backup-simplify]: Simplify n into n 23.883 * [backup-simplify]: Simplify (+ 1 0) into 1 23.883 * [backup-simplify]: Simplify (* 1 n) into n 23.883 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.884 * [backup-simplify]: Simplify (+ 1 0) into 1 23.884 * [backup-simplify]: Simplify (/ -1 1) into -1 23.884 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 23.884 * [taylor]: Taking taylor expansion of -1 in f 23.884 * [backup-simplify]: Simplify -1 into -1 23.884 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 23.884 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 23.884 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 23.884 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.884 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.884 * [taylor]: Taking taylor expansion of f in f 23.884 * [backup-simplify]: Simplify 0 into 0 23.884 * [backup-simplify]: Simplify 1 into 1 23.885 * [backup-simplify]: Simplify (/ 1 1) into 1 23.885 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.885 * [taylor]: Taking taylor expansion of n in f 23.885 * [backup-simplify]: Simplify n into n 23.885 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.885 * [taylor]: Taking taylor expansion of f in f 23.885 * [backup-simplify]: Simplify 0 into 0 23.885 * [backup-simplify]: Simplify 1 into 1 23.885 * [backup-simplify]: Simplify (+ 1 0) into 1 23.886 * [backup-simplify]: Simplify (* 1 0) into 0 23.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.887 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.888 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 23.888 * [backup-simplify]: Simplify (/ 1 1) into 1 23.888 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 23.888 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 23.888 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.888 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.888 * [taylor]: Taking taylor expansion of f in f 23.888 * [backup-simplify]: Simplify 0 into 0 23.888 * [backup-simplify]: Simplify 1 into 1 23.889 * [backup-simplify]: Simplify (/ 1 1) into 1 23.889 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.889 * [taylor]: Taking taylor expansion of n in f 23.889 * [backup-simplify]: Simplify n into n 23.889 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.889 * [taylor]: Taking taylor expansion of n in f 23.889 * [backup-simplify]: Simplify n into n 23.889 * [backup-simplify]: Simplify (+ 1 0) into 1 23.890 * [backup-simplify]: Simplify (* 1 n) into n 23.890 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.890 * [backup-simplify]: Simplify (+ 1 0) into 1 23.890 * [backup-simplify]: Simplify (/ -1 1) into -1 23.891 * [taylor]: Taking taylor expansion of -1 in n 23.891 * [backup-simplify]: Simplify -1 into -1 23.891 * [backup-simplify]: Simplify -1 into -1 23.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 23.892 * [backup-simplify]: Simplify (+ 0 0) into 0 23.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 23.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 23.893 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 23.893 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 23.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 23.894 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 23.894 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 23.894 * [taylor]: Taking taylor expansion of 2 in n 23.894 * [backup-simplify]: Simplify 2 into 2 23.894 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.894 * [taylor]: Taking taylor expansion of n in n 23.894 * [backup-simplify]: Simplify 0 into 0 23.894 * [backup-simplify]: Simplify 1 into 1 23.894 * [backup-simplify]: Simplify (/ 1 1) into 1 23.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.896 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 23.896 * [backup-simplify]: Simplify (- 0) into 0 23.896 * [backup-simplify]: Simplify 0 into 0 23.896 * [backup-simplify]: Simplify 0 into 0 23.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 23.898 * [backup-simplify]: Simplify (+ 0 0) into 0 23.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 23.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 23.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.901 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.901 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 23.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 23.901 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 23.902 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 23.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 23.903 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 23.903 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 23.903 * [taylor]: Taking taylor expansion of 2 in n 23.903 * [backup-simplify]: Simplify 2 into 2 23.903 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 23.903 * [taylor]: Taking taylor expansion of (pow n 2) in n 23.903 * [taylor]: Taking taylor expansion of n in n 23.903 * [backup-simplify]: Simplify 0 into 0 23.903 * [backup-simplify]: Simplify 1 into 1 23.903 * [backup-simplify]: Simplify (* 1 1) into 1 23.903 * [backup-simplify]: Simplify (/ 1 1) into 1 23.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.908 * [backup-simplify]: Simplify (- 0) into 0 23.908 * [backup-simplify]: Simplify 0 into 0 23.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 23.911 * [backup-simplify]: Simplify (- 0) into 0 23.911 * [backup-simplify]: Simplify 0 into 0 23.911 * [backup-simplify]: Simplify 0 into 0 23.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 23.913 * [backup-simplify]: Simplify (+ 0 0) into 0 23.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 23.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 23.917 * [backup-simplify]: Simplify (+ 0 0) into 0 23.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 23.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 23.917 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 23.918 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 23.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 23.919 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 23.919 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 23.919 * [taylor]: Taking taylor expansion of 2 in n 23.919 * [backup-simplify]: Simplify 2 into 2 23.919 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 23.919 * [taylor]: Taking taylor expansion of (pow n 3) in n 23.919 * [taylor]: Taking taylor expansion of n in n 23.919 * [backup-simplify]: Simplify 0 into 0 23.919 * [backup-simplify]: Simplify 1 into 1 23.919 * [backup-simplify]: Simplify (* 1 1) into 1 23.920 * [backup-simplify]: Simplify (* 1 1) into 1 23.920 * [backup-simplify]: Simplify (/ 1 1) into 1 23.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.930 * [backup-simplify]: Simplify (- 0) into 0 23.930 * [backup-simplify]: Simplify 0 into 0 23.930 * [backup-simplify]: Simplify -1 into -1 23.930 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 23.930 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 23.930 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 23.930 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 23.930 * [taylor]: Taking taylor expansion of n in f 23.930 * [backup-simplify]: Simplify n into n 23.930 * [taylor]: Taking taylor expansion of (+ n f) in f 23.930 * [taylor]: Taking taylor expansion of n in f 23.930 * [backup-simplify]: Simplify n into n 23.930 * [taylor]: Taking taylor expansion of f in f 23.930 * [backup-simplify]: Simplify 0 into 0 23.930 * [backup-simplify]: Simplify 1 into 1 23.930 * [backup-simplify]: Simplify (+ n 0) into n 23.930 * [backup-simplify]: Simplify (/ n n) into 1 23.930 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 23.930 * [taylor]: Taking taylor expansion of n in n 23.931 * [backup-simplify]: Simplify 0 into 0 23.931 * [backup-simplify]: Simplify 1 into 1 23.931 * [taylor]: Taking taylor expansion of (+ n f) in n 23.931 * [taylor]: Taking taylor expansion of n in n 23.931 * [backup-simplify]: Simplify 0 into 0 23.931 * [backup-simplify]: Simplify 1 into 1 23.931 * [taylor]: Taking taylor expansion of f in n 23.931 * [backup-simplify]: Simplify f into f 23.931 * [backup-simplify]: Simplify (+ 0 f) into f 23.931 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.931 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 23.931 * [taylor]: Taking taylor expansion of n in n 23.931 * [backup-simplify]: Simplify 0 into 0 23.931 * [backup-simplify]: Simplify 1 into 1 23.931 * [taylor]: Taking taylor expansion of (+ n f) in n 23.931 * [taylor]: Taking taylor expansion of n in n 23.931 * [backup-simplify]: Simplify 0 into 0 23.931 * [backup-simplify]: Simplify 1 into 1 23.931 * [taylor]: Taking taylor expansion of f in n 23.931 * [backup-simplify]: Simplify f into f 23.931 * [backup-simplify]: Simplify (+ 0 f) into f 23.931 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.931 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.931 * [taylor]: Taking taylor expansion of f in f 23.931 * [backup-simplify]: Simplify 0 into 0 23.931 * [backup-simplify]: Simplify 1 into 1 23.932 * [backup-simplify]: Simplify (/ 1 1) into 1 23.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.933 * [backup-simplify]: Simplify 0 into 0 23.933 * [backup-simplify]: Simplify (+ 1 0) into 1 23.933 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 23.933 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 23.933 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 23.933 * [taylor]: Taking taylor expansion of (pow f 2) in f 23.933 * [taylor]: Taking taylor expansion of f in f 23.933 * [backup-simplify]: Simplify 0 into 0 23.933 * [backup-simplify]: Simplify 1 into 1 23.934 * [backup-simplify]: Simplify (* 1 1) into 1 23.934 * [backup-simplify]: Simplify (/ 1 1) into 1 23.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.938 * [backup-simplify]: Simplify (- 0) into 0 23.938 * [backup-simplify]: Simplify 0 into 0 23.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.939 * [backup-simplify]: Simplify 0 into 0 23.939 * [backup-simplify]: Simplify (+ 0 0) into 0 23.940 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 23.940 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 23.940 * [taylor]: Taking taylor expansion of (pow f 3) in f 23.940 * [taylor]: Taking taylor expansion of f in f 23.940 * [backup-simplify]: Simplify 0 into 0 23.940 * [backup-simplify]: Simplify 1 into 1 23.940 * [backup-simplify]: Simplify (* 1 1) into 1 23.941 * [backup-simplify]: Simplify (* 1 1) into 1 23.941 * [backup-simplify]: Simplify (/ 1 1) into 1 23.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.949 * [backup-simplify]: Simplify 0 into 0 23.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.952 * [backup-simplify]: Simplify (- 0) into 0 23.952 * [backup-simplify]: Simplify 0 into 0 23.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.952 * [backup-simplify]: Simplify 0 into 0 23.952 * [backup-simplify]: Simplify 0 into 0 23.952 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 23.952 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 23.952 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 23.952 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 23.952 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.953 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.953 * [taylor]: Taking taylor expansion of f in f 23.953 * [backup-simplify]: Simplify 0 into 0 23.953 * [backup-simplify]: Simplify 1 into 1 23.953 * [backup-simplify]: Simplify (/ 1 1) into 1 23.953 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.953 * [taylor]: Taking taylor expansion of n in f 23.953 * [backup-simplify]: Simplify n into n 23.953 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.953 * [taylor]: Taking taylor expansion of n in f 23.953 * [backup-simplify]: Simplify n into n 23.953 * [backup-simplify]: Simplify (+ 1 0) into 1 23.953 * [backup-simplify]: Simplify (* 1 n) into n 23.953 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.953 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 23.953 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 23.953 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.954 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.954 * [taylor]: Taking taylor expansion of f in n 23.954 * [backup-simplify]: Simplify f into f 23.954 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.954 * [taylor]: Taking taylor expansion of n in n 23.954 * [backup-simplify]: Simplify 0 into 0 23.954 * [backup-simplify]: Simplify 1 into 1 23.954 * [backup-simplify]: Simplify (/ 1 1) into 1 23.954 * [taylor]: Taking taylor expansion of n in n 23.954 * [backup-simplify]: Simplify 0 into 0 23.954 * [backup-simplify]: Simplify 1 into 1 23.954 * [backup-simplify]: Simplify (+ 0 1) into 1 23.955 * [backup-simplify]: Simplify (* 1 0) into 0 23.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.955 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 23.955 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 23.956 * [backup-simplify]: Simplify (/ 1 1) into 1 23.956 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 23.956 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 23.956 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.956 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.956 * [taylor]: Taking taylor expansion of f in n 23.956 * [backup-simplify]: Simplify f into f 23.956 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.956 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.956 * [taylor]: Taking taylor expansion of n in n 23.956 * [backup-simplify]: Simplify 0 into 0 23.956 * [backup-simplify]: Simplify 1 into 1 23.956 * [backup-simplify]: Simplify (/ 1 1) into 1 23.956 * [taylor]: Taking taylor expansion of n in n 23.956 * [backup-simplify]: Simplify 0 into 0 23.956 * [backup-simplify]: Simplify 1 into 1 23.956 * [backup-simplify]: Simplify (+ 0 1) into 1 23.957 * [backup-simplify]: Simplify (* 1 0) into 0 23.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.957 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 23.957 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 23.958 * [backup-simplify]: Simplify (/ 1 1) into 1 23.958 * [taylor]: Taking taylor expansion of 1 in f 23.958 * [backup-simplify]: Simplify 1 into 1 23.958 * [backup-simplify]: Simplify 0 into 0 23.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 23.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.959 * [backup-simplify]: Simplify (+ 0 0) into 0 23.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 23.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 23.959 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 23.960 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.960 * [taylor]: Taking taylor expansion of f in f 23.960 * [backup-simplify]: Simplify 0 into 0 23.960 * [backup-simplify]: Simplify 1 into 1 23.960 * [backup-simplify]: Simplify (/ 1 1) into 1 23.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.961 * [backup-simplify]: Simplify (- 0) into 0 23.961 * [backup-simplify]: Simplify 0 into 0 23.961 * [backup-simplify]: Simplify 0 into 0 23.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 23.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.962 * [backup-simplify]: Simplify (+ 0 0) into 0 23.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 23.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 23.965 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 23.965 * [taylor]: Taking taylor expansion of (pow f 2) in f 23.965 * [taylor]: Taking taylor expansion of f in f 23.965 * [backup-simplify]: Simplify 0 into 0 23.965 * [backup-simplify]: Simplify 1 into 1 23.965 * [backup-simplify]: Simplify (* 1 1) into 1 23.966 * [backup-simplify]: Simplify (/ 1 1) into 1 23.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.969 * [backup-simplify]: Simplify 0 into 0 23.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.970 * [backup-simplify]: Simplify (- 0) into 0 23.970 * [backup-simplify]: Simplify 0 into 0 23.970 * [backup-simplify]: Simplify 0 into 0 23.970 * [backup-simplify]: Simplify 0 into 0 23.970 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 23.970 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 23.970 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 23.970 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 23.970 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.970 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.970 * [taylor]: Taking taylor expansion of f in f 23.970 * [backup-simplify]: Simplify 0 into 0 23.970 * [backup-simplify]: Simplify 1 into 1 23.970 * [backup-simplify]: Simplify (/ 1 1) into 1 23.970 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.970 * [taylor]: Taking taylor expansion of n in f 23.970 * [backup-simplify]: Simplify n into n 23.970 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.970 * [taylor]: Taking taylor expansion of n in f 23.970 * [backup-simplify]: Simplify n into n 23.971 * [backup-simplify]: Simplify (+ 1 0) into 1 23.971 * [backup-simplify]: Simplify (* 1 n) into n 23.971 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.971 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 23.971 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 23.971 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.971 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.971 * [taylor]: Taking taylor expansion of f in n 23.971 * [backup-simplify]: Simplify f into f 23.971 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.971 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.971 * [taylor]: Taking taylor expansion of n in n 23.971 * [backup-simplify]: Simplify 0 into 0 23.971 * [backup-simplify]: Simplify 1 into 1 23.971 * [backup-simplify]: Simplify (/ 1 1) into 1 23.971 * [taylor]: Taking taylor expansion of n in n 23.971 * [backup-simplify]: Simplify 0 into 0 23.971 * [backup-simplify]: Simplify 1 into 1 23.971 * [backup-simplify]: Simplify (+ 0 1) into 1 23.972 * [backup-simplify]: Simplify (* 1 0) into 0 23.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.972 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 23.972 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 23.973 * [backup-simplify]: Simplify (/ 1 1) into 1 23.973 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 23.973 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 23.973 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.973 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.973 * [taylor]: Taking taylor expansion of f in n 23.973 * [backup-simplify]: Simplify f into f 23.973 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.973 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.973 * [taylor]: Taking taylor expansion of n in n 23.973 * [backup-simplify]: Simplify 0 into 0 23.973 * [backup-simplify]: Simplify 1 into 1 23.973 * [backup-simplify]: Simplify (/ 1 1) into 1 23.973 * [taylor]: Taking taylor expansion of n in n 23.973 * [backup-simplify]: Simplify 0 into 0 23.973 * [backup-simplify]: Simplify 1 into 1 23.973 * [backup-simplify]: Simplify (+ 0 1) into 1 23.974 * [backup-simplify]: Simplify (* 1 0) into 0 23.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.974 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 23.975 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 23.975 * [backup-simplify]: Simplify (/ 1 1) into 1 23.975 * [taylor]: Taking taylor expansion of 1 in f 23.975 * [backup-simplify]: Simplify 1 into 1 23.975 * [backup-simplify]: Simplify 0 into 0 23.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 23.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.976 * [backup-simplify]: Simplify (+ 0 0) into 0 23.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 23.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 23.976 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 23.976 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.976 * [taylor]: Taking taylor expansion of f in f 23.977 * [backup-simplify]: Simplify 0 into 0 23.977 * [backup-simplify]: Simplify 1 into 1 23.977 * [backup-simplify]: Simplify (/ 1 1) into 1 23.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.978 * [backup-simplify]: Simplify (- 0) into 0 23.978 * [backup-simplify]: Simplify 0 into 0 23.978 * [backup-simplify]: Simplify 0 into 0 23.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 23.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.979 * [backup-simplify]: Simplify (+ 0 0) into 0 23.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 23.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 23.980 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 23.980 * [taylor]: Taking taylor expansion of (pow f 2) in f 23.980 * [taylor]: Taking taylor expansion of f in f 23.980 * [backup-simplify]: Simplify 0 into 0 23.980 * [backup-simplify]: Simplify 1 into 1 23.980 * [backup-simplify]: Simplify (* 1 1) into 1 23.981 * [backup-simplify]: Simplify (/ 1 1) into 1 23.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.984 * [backup-simplify]: Simplify 0 into 0 23.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.985 * [backup-simplify]: Simplify (- 0) into 0 23.985 * [backup-simplify]: Simplify 0 into 0 23.985 * [backup-simplify]: Simplify 0 into 0 23.985 * [backup-simplify]: Simplify 0 into 0 23.985 * * * [progress]: simplifying candidates 23.985 * * * * [progress]: [ 1 / 547 ] simplifiying candidate # 23.985 * * * * [progress]: [ 2 / 547 ] simplifiying candidate # 23.985 * * * * [progress]: [ 3 / 547 ] simplifiying candidate # 23.985 * * * * [progress]: [ 4 / 547 ] simplifiying candidate # 23.985 * * * * [progress]: [ 5 / 547 ] simplifiying candidate # 23.985 * * * * [progress]: [ 6 / 547 ] simplifiying candidate # 23.986 * * * * [progress]: [ 7 / 547 ] simplifiying candidate # 23.986 * * * * [progress]: [ 8 / 547 ] simplifiying candidate # 23.986 * * * * [progress]: [ 9 / 547 ] simplifiying candidate # 23.986 * * * * [progress]: [ 10 / 547 ] simplifiying candidate # 23.986 * * * * [progress]: [ 11 / 547 ] simplifiying candidate # 23.986 * * * * [progress]: [ 12 / 547 ] simplifiying 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] simplifiying candidate # 23.987 * * * * [progress]: [ 44 / 547 ] simplifiying candidate # 23.987 * * * * [progress]: [ 45 / 547 ] simplifiying candidate # 23.987 * * * * [progress]: [ 46 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 47 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 48 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 49 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 50 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 51 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 52 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 53 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 54 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 55 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 56 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 57 / 547 ] simplifiying candidate # 23.988 * * * * [progress]: [ 58 / 547 ] simplifiying candidate 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# 24.013 * * * * [progress]: [ 419 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 420 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 421 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 422 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 423 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 424 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 425 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 426 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 427 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 428 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 429 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 430 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 431 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 432 / 547 ] simplifiying candidate # 24.014 * * * * [progress]: [ 433 / 547 ] simplifiying candidate # 24.015 * 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] simplifiying candidate # 24.020 * * * * [progress]: [ 524 / 547 ] simplifiying candidate # 24.020 * * * * [progress]: [ 525 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 526 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 527 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 528 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 529 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 530 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 531 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 532 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 533 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 534 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 535 / 547 ] simplifiying candidate #real (real->posit16 (/ n (+ f n)))))))> 24.021 * * * * [progress]: [ 536 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 537 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 538 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 539 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 540 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 541 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 542 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 543 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 544 / 547 ] simplifiying candidate # 24.021 * * * * [progress]: [ 545 / 547 ] simplifiying candidate # 24.022 * * * * [progress]: [ 546 / 547 ] simplifiying candidate # 24.022 * * * * [progress]: [ 547 / 547 ] simplifiying candidate # 24.038 * [simplify]: Simplifying: (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (cbrt (/ n (+ f n))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n))))))) (fma (- (cbrt (/ n (+ f n)))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))) (* (cbrt (/ n (+ f n))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n)))))) (fma (- (sqrt (/ n (+ f n)))) (sqrt (/ n (+ f n))) (* (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n))))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))))) (fma (- (/ (cbrt n) (cbrt (+ f n)))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n)))))) (fma (- (/ (cbrt n) (sqrt (+ f n)))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))) (* (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))))) (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (- (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1)))) (fma (- (/ 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#4: cost 35 inf + 222955 26.156 * * [simplify]: Extracting #5: cost 1 inf + 234770 26.205 * * [simplify]: Extracting #6: cost 0 inf + 235108 26.275 * [simplify]: Simplified to: (- (* (cbrt (/ f (+ n f))) (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f))))) (/ n (+ n f))) (fma (/ n (+ n f)) -1 (/ n (+ n f))) (- (* (cbrt (/ f (+ n f))) (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f))))) (/ n (+ n f))) (fma (/ n (+ n f)) -1 (/ n (+ n f))) (- (* (cbrt (/ f (+ n f))) (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f))))) (* (* (/ (cbrt n) (cbrt (+ n f))) (/ (cbrt n) (cbrt (+ n f)))) (/ (cbrt n) (cbrt (+ n f))))) (* (* (/ (cbrt n) (cbrt (+ n f))) (/ (cbrt n) (cbrt (+ n f)))) (+ (- (/ (cbrt n) (cbrt (+ n f)))) (/ (cbrt n) (cbrt (+ n f))))) (- (* (cbrt (/ f (+ n f))) (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f))))) (/ (* (cbrt n) (/ (cbrt n) (sqrt (+ n f)))) (/ (sqrt (+ n f)) (cbrt n)))) (* (/ (* (cbrt n) (cbrt n)) (sqrt (+ n f))) (+ (- (/ (cbrt n) (sqrt (+ n f)))) (/ (cbrt n) (sqrt (+ n f))))) (- (* (cbrt (/ f (+ 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(- (/ f (+ n f)) (/ n (+ n f))) -1) (/ -1 (- f n)) (/ -1 (* (- f n) (+ n f))) (/ -1 (- (* (* (/ f (+ n f)) (/ f (+ n f))) (/ f (+ n f))) (* (/ n (+ n f)) (* (/ n (+ n f)) (/ n (+ n f)))))) (/ (/ -1 (+ (/ f (+ n f)) (/ n (+ n f)))) (- (/ f (+ n f)) (/ n (+ n f)))) (real->posit16 (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (expm1 (/ n (+ n f))) (log1p (/ n (+ n f))) (log (/ n (+ n f))) (log (/ n (+ n f))) (exp (/ n (+ n f))) (* (/ n (+ n f)) (* (/ n (+ n f)) (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (cbrt (/ n (+ n f))) (* (/ n (+ n f)) (* (/ n (+ n f)) (/ n (+ n f)))) (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f))) (- n) (- (- f) n) (* (/ (cbrt n) (cbrt (+ n f))) (/ (cbrt n) (cbrt (+ n f)))) (/ (cbrt n) (cbrt (+ n f))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ n f))) (/ (cbrt n) (sqrt (+ n f))) (* (cbrt n) (cbrt n)) (/ (cbrt n) (+ n f)) (* (cbrt n) (cbrt n)) (/ (cbrt n) (+ n f)) (/ (/ (sqrt n) (cbrt (+ n f))) (cbrt (+ n f))) (/ (sqrt n) (cbrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))) (sqrt n) (/ (sqrt n) (+ n f)) (sqrt n) (/ (sqrt n) (+ n f)) (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) (/ n (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ n (sqrt (+ n f))) 1 (/ n (+ n f)) 1 (/ n (+ n f)) (/ 1 (+ n f)) (/ (+ n f) n) (/ n (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ n (sqrt (+ n f))) n n (/ (+ n f) (cbrt n)) (/ (+ n f) (sqrt n)) (/ (+ n f) n) (/ n (fma f (* f f) (* (* n n) n))) (/ (/ n (+ n f)) (- f n)) (real->posit16 (/ n (+ n f))) -1 1 1 0 0 0 1 -1 -1 0 0 0 26.409 * * * [progress]: adding candidates to table 32.411 * [progress]: [Phase 3 of 3] Extracting. 32.412 * * [regime]: Finding splitpoints for: (# # #) 32.414 * * * [regime-changes]: Trying 2 branch expressions: (n f) 32.415 * * * * [regimes]: Trying to branch on n from (# # #) 32.467 * * * * [regimes]: Trying to branch on f from (# # #) 32.505 * * * [regime]: Found split indices: #