0.611 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.060 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.061 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.062 * * [simplify]: iteration 0: 6 enodes 0.067 * * [simplify]: iteration 1: 13 enodes 0.105 * * [simplify]: iteration 2: 16 enodes 0.108 * * [simplify]: iteration 3: 20 enodes 0.110 * * [simplify]: iteration 4: 24 enodes 0.114 * * [simplify]: iteration 5: 29 enodes 0.117 * * [simplify]: iteration 6: 31 enodes 0.121 * * [simplify]: iteration complete: 31 enodes 0.121 * * [simplify]: Extracting #0: cost 1 inf + 0 0.121 * * [simplify]: Extracting #1: cost 9 inf + 0 0.121 * * [simplify]: Extracting #2: cost 14 inf + 0 0.122 * * [simplify]: Extracting #3: cost 11 inf + 43 0.122 * * [simplify]: Extracting #4: cost 2 inf + 860 0.122 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.123 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.126 * * [progress]: iteration 1 / 4 0.126 * * * [progress]: picking best candidate 0.129 * * * * [pick]: Picked # 0.129 * * * [progress]: localizing error 0.143 * * * [progress]: generating rewritten candidates 0.143 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.196 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.196 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.197 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.197 * [taylor]: Taking taylor expansion of -1 in n 0.197 * [backup-simplify]: Simplify -1 into -1 0.197 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.197 * [taylor]: Taking taylor expansion of (+ n f) in n 0.197 * [taylor]: Taking taylor expansion of n in n 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of f in n 0.197 * [backup-simplify]: Simplify f into f 0.197 * [taylor]: Taking taylor expansion of (- f n) in n 0.197 * [taylor]: Taking taylor expansion of f in n 0.197 * [backup-simplify]: Simplify f into f 0.197 * [taylor]: Taking taylor expansion of n in n 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (+ 0 f) into f 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ f 0) into f 0.198 * [backup-simplify]: Simplify (/ f f) into 1 0.198 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.198 * [taylor]: Taking taylor expansion of -1 in f 0.198 * [backup-simplify]: Simplify -1 into -1 0.198 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.198 * [taylor]: Taking taylor expansion of (+ n f) in f 0.198 * [taylor]: Taking taylor expansion of n in f 0.198 * [backup-simplify]: Simplify n into n 0.198 * [taylor]: Taking taylor expansion of f in f 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [taylor]: Taking taylor expansion of (- f n) in f 0.198 * [taylor]: Taking taylor expansion of f in f 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [taylor]: Taking taylor expansion of n in f 0.198 * [backup-simplify]: Simplify n into n 0.198 * [backup-simplify]: Simplify (+ n 0) into n 0.198 * [backup-simplify]: Simplify (- n) into (- n) 0.198 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.199 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.199 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.199 * [taylor]: Taking taylor expansion of -1 in f 0.199 * [backup-simplify]: Simplify -1 into -1 0.199 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.199 * [taylor]: Taking taylor expansion of (+ n f) in f 0.199 * [taylor]: Taking taylor expansion of n in f 0.199 * [backup-simplify]: Simplify n into n 0.199 * [taylor]: Taking taylor expansion of f in f 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [taylor]: Taking taylor expansion of (- f n) in f 0.199 * [taylor]: Taking taylor expansion of f in f 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [taylor]: Taking taylor expansion of n in f 0.199 * [backup-simplify]: Simplify n into n 0.199 * [backup-simplify]: Simplify (+ n 0) into n 0.199 * [backup-simplify]: Simplify (- n) into (- n) 0.199 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.199 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.200 * [backup-simplify]: Simplify (* -1 -1) into 1 0.200 * [taylor]: Taking taylor expansion of 1 in n 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (+ 0 1) into 1 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.202 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.202 * [taylor]: Taking taylor expansion of 2 in n 0.202 * [backup-simplify]: Simplify 2 into 2 0.202 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.202 * [taylor]: Taking taylor expansion of n in n 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.205 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 (pow n 2)) in n 0.205 * [taylor]: Taking taylor expansion of (pow n 2) 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 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [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)))) 0.212 * [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))) 0.212 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.212 * [taylor]: Taking taylor expansion of 2 in n 0.212 * [backup-simplify]: Simplify 2 into 2 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.212 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.212 * [taylor]: Taking taylor expansion of n in n 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.219 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.219 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.219 * [taylor]: Taking taylor expansion of -1 in n 0.219 * [backup-simplify]: Simplify -1 into -1 0.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.219 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.219 * [taylor]: Taking taylor expansion of f in n 0.219 * [backup-simplify]: Simplify f into f 0.219 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.219 * [taylor]: Taking taylor expansion of n in n 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.220 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.220 * [taylor]: Taking taylor expansion of f in n 0.220 * [backup-simplify]: Simplify f into f 0.220 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.220 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.220 * [taylor]: Taking taylor expansion of n in n 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [backup-simplify]: Simplify (+ 0 1) into 1 0.221 * [backup-simplify]: Simplify (- 1) into -1 0.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.221 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.221 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.221 * [taylor]: Taking taylor expansion of -1 in f 0.221 * [backup-simplify]: Simplify -1 into -1 0.221 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.221 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.221 * [taylor]: Taking taylor expansion of f in f 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.222 * [taylor]: Taking taylor expansion of n in f 0.222 * [backup-simplify]: Simplify n into n 0.222 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.222 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.222 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.222 * [taylor]: Taking taylor expansion of n in f 0.222 * [backup-simplify]: Simplify n into n 0.222 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.223 * [backup-simplify]: Simplify (+ 1 0) 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 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.223 * [taylor]: Taking taylor expansion of n in f 0.223 * [backup-simplify]: Simplify n into n 0.223 * [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 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (* -1 1) into -1 0.225 * [taylor]: Taking taylor expansion of -1 in n 0.225 * [backup-simplify]: Simplify -1 into -1 0.225 * [backup-simplify]: Simplify -1 into -1 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.226 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.226 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.227 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.227 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.227 * [taylor]: Taking taylor expansion of 2 in n 0.227 * [backup-simplify]: Simplify 2 into 2 0.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.227 * [taylor]: Taking taylor expansion of n in n 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.232 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.232 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.232 * [taylor]: Taking taylor expansion of 2 in n 0.232 * [backup-simplify]: Simplify 2 into 2 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.232 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.232 * [taylor]: Taking taylor expansion of n in n 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.241 * [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)))) 0.241 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.241 * [taylor]: Taking taylor expansion of 2 in n 0.241 * [backup-simplify]: Simplify 2 into 2 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.241 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.241 * [taylor]: Taking taylor expansion of n in n 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify -1 into -1 0.282 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.282 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.282 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.282 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.282 * [taylor]: Taking taylor expansion of f in n 0.282 * [backup-simplify]: Simplify f into f 0.282 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.282 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.283 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.283 * [taylor]: Taking taylor expansion of n in n 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.284 * [taylor]: Taking taylor expansion of f in n 0.284 * [backup-simplify]: Simplify f into f 0.284 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.285 * [backup-simplify]: Simplify (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify (+ 1 0) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.286 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.286 * [taylor]: Taking taylor expansion of f in f 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.286 * [taylor]: Taking taylor expansion of n in f 0.286 * [backup-simplify]: Simplify n into n 0.286 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.287 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.287 * [taylor]: Taking taylor expansion of n in f 0.287 * [backup-simplify]: Simplify n into n 0.287 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.287 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.287 * [taylor]: Taking taylor expansion of f in f 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [backup-simplify]: Simplify (+ 1 0) into 1 0.288 * [backup-simplify]: Simplify (- 1) into -1 0.289 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.289 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.289 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.290 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.290 * [taylor]: Taking taylor expansion of f in f 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.290 * [taylor]: Taking taylor expansion of n in f 0.290 * [backup-simplify]: Simplify n into n 0.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.291 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.291 * [taylor]: Taking taylor expansion of n in f 0.291 * [backup-simplify]: Simplify n into n 0.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.291 * [taylor]: Taking taylor expansion of f in f 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [backup-simplify]: Simplify (- 1) into -1 0.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.294 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.295 * [taylor]: Taking taylor expansion of -1 in n 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [backup-simplify]: Simplify -1 into -1 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.298 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.298 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.298 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.298 * [taylor]: Taking taylor expansion of 2 in n 0.298 * [backup-simplify]: Simplify 2 into 2 0.298 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.306 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.306 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.306 * [taylor]: Taking taylor expansion of 2 in n 0.306 * [backup-simplify]: Simplify 2 into 2 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.306 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [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)))) 0.319 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.319 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.319 * [taylor]: Taking taylor expansion of 2 in n 0.319 * [backup-simplify]: Simplify 2 into 2 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.319 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.319 * [taylor]: Taking taylor expansion of n in n 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.175 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.176 * [backup-simplify]: Simplify (- 0) into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify -1 into -1 1.176 * * * [progress]: simplifying candidates 1.176 * * * * [progress]: [ 1 / 99 ] simplifiying candidate # 1.176 * * * * [progress]: [ 2 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 3 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 4 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 5 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 6 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 7 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 8 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 9 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 10 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 11 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 12 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 13 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 14 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 15 / 99 ] simplifiying candidate # 1.177 * * * * [progress]: [ 16 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 17 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 18 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 19 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 20 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 21 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 22 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 23 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 24 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 25 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 26 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 27 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 28 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 29 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 30 / 99 ] simplifiying candidate # 1.178 * * * * [progress]: [ 31 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 32 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 33 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 34 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 35 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 36 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 37 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 38 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 39 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 40 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 41 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 42 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 43 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 44 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 45 / 99 ] simplifiying candidate # 1.179 * * * * [progress]: [ 46 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 47 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 48 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 49 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 50 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 51 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 52 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 53 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 54 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 55 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 56 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 57 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 58 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 59 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 60 / 99 ] simplifiying candidate # 1.180 * * * * [progress]: [ 61 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 62 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 63 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 64 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 65 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 66 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 67 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 68 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 69 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 70 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 71 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 72 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 73 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 74 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 75 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 76 / 99 ] simplifiying candidate # 1.181 * * * * [progress]: [ 77 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 78 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 79 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 80 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 81 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 82 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 83 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 84 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 85 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 86 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 87 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 88 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 89 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 90 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 91 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 92 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 93 / 99 ] simplifiying candidate # 1.182 * * * * [progress]: [ 94 / 99 ] simplifiying candidate # 1.183 * * * * [progress]: [ 95 / 99 ] simplifiying candidate # 1.183 * * * * [progress]: [ 96 / 99 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 1.183 * * * * [progress]: [ 97 / 99 ] simplifiying candidate # 1.183 * * * * [progress]: [ 98 / 99 ] simplifiying candidate # 1.183 * * * * [progress]: [ 99 / 99 ] simplifiying candidate # 1.185 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) 1 -1 -1 1.189 * * [simplify]: iteration 0: 134 enodes 1.252 * * [simplify]: iteration 1: 312 enodes 1.392 * * [simplify]: iteration 2: 699 enodes 1.715 * * [simplify]: iteration 3: 2205 enodes 2.638 * * [simplify]: iteration complete: 5001 enodes 2.638 * * [simplify]: Extracting #0: cost 87 inf + 0 2.639 * * [simplify]: Extracting #1: cost 447 inf + 3 2.643 * * [simplify]: Extracting #2: cost 1057 inf + 7951 2.669 * * [simplify]: Extracting #3: cost 983 inf + 102203 2.735 * * [simplify]: Extracting #4: cost 354 inf + 243278 2.818 * * [simplify]: Extracting #5: cost 80 inf + 304677 2.889 * * [simplify]: Extracting #6: cost 45 inf + 315781 2.977 * * [simplify]: Extracting #7: cost 9 inf + 322557 3.043 * * [simplify]: Extracting #8: cost 0 inf + 324834 3.110 * [simplify]: Simplified to: (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ n f) (- (- f n)) 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))) (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)) (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)) (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)) (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)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (/ (- (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* (* f f) f) (* n (* n n)))) (/ -1 (- f n)) (* (+ (* (- n f) n) (* f f)) (- f n)) (* (- f n) (- f n)) (real->posit16 (/ (- (+ n f)) (- f n))) 1 -1 -1 3.116 * * * [progress]: adding candidates to table 3.421 * * [progress]: iteration 2 / 4 3.421 * * * [progress]: picking best candidate 3.434 * * * * [pick]: Picked # 3.434 * * * [progress]: localizing error 3.453 * * * [progress]: generating rewritten candidates 3.453 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 3.499 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.568 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.641 * * * [progress]: generating series expansions 3.641 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 3.641 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.641 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.641 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.641 * [taylor]: Taking taylor expansion of -1 in n 3.641 * [backup-simplify]: Simplify -1 into -1 3.641 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.641 * [taylor]: Taking taylor expansion of (+ n f) in n 3.641 * [taylor]: Taking taylor expansion of n in n 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [taylor]: Taking taylor expansion of f in n 3.641 * [backup-simplify]: Simplify f into f 3.641 * [taylor]: Taking taylor expansion of (- f n) in n 3.641 * [taylor]: Taking taylor expansion of f in n 3.641 * [backup-simplify]: Simplify f into f 3.641 * [taylor]: Taking taylor expansion of n in n 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (+ 0 f) into f 3.642 * [backup-simplify]: Simplify (- 0) into 0 3.642 * [backup-simplify]: Simplify (+ f 0) into f 3.642 * [backup-simplify]: Simplify (/ f f) into 1 3.642 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.642 * [taylor]: Taking taylor expansion of -1 in f 3.642 * [backup-simplify]: Simplify -1 into -1 3.642 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.642 * [taylor]: Taking taylor expansion of (+ n f) in f 3.642 * [taylor]: Taking taylor expansion of n in f 3.642 * [backup-simplify]: Simplify n into n 3.642 * [taylor]: Taking taylor expansion of f in f 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [taylor]: Taking taylor expansion of (- f n) in f 3.642 * [taylor]: Taking taylor expansion of f in f 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [taylor]: Taking taylor expansion of n in f 3.642 * [backup-simplify]: Simplify n into n 3.642 * [backup-simplify]: Simplify (+ n 0) into n 3.642 * [backup-simplify]: Simplify (- n) into (- n) 3.642 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.642 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.642 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.642 * [taylor]: Taking taylor expansion of -1 in f 3.642 * [backup-simplify]: Simplify -1 into -1 3.642 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.642 * [taylor]: Taking taylor expansion of (+ n f) in f 3.642 * [taylor]: Taking taylor expansion of n in f 3.642 * [backup-simplify]: Simplify n into n 3.642 * [taylor]: Taking taylor expansion of f in f 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [taylor]: Taking taylor expansion of (- f n) in f 3.642 * [taylor]: Taking taylor expansion of f in f 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [taylor]: Taking taylor expansion of n in f 3.642 * [backup-simplify]: Simplify n into n 3.642 * [backup-simplify]: Simplify (+ n 0) into n 3.642 * [backup-simplify]: Simplify (- n) into (- n) 3.642 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.642 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.643 * [backup-simplify]: Simplify (* -1 -1) into 1 3.643 * [taylor]: Taking taylor expansion of 1 in n 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (+ 0 1) into 1 3.644 * [backup-simplify]: Simplify (- 0) into 0 3.644 * [backup-simplify]: Simplify (+ 1 0) into 1 3.644 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.644 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.644 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.644 * [taylor]: Taking taylor expansion of 2 in n 3.644 * [backup-simplify]: Simplify 2 into 2 3.644 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.644 * [taylor]: Taking taylor expansion of n in n 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 1 into 1 3.645 * [backup-simplify]: Simplify (/ 1 1) into 1 3.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.646 * [backup-simplify]: Simplify (- 0) into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.647 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.647 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.647 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.647 * [taylor]: Taking taylor expansion of 2 in n 3.647 * [backup-simplify]: Simplify 2 into 2 3.647 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.647 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.647 * [taylor]: Taking taylor expansion of n in n 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [backup-simplify]: Simplify (* 1 1) into 1 3.648 * [backup-simplify]: Simplify (/ 1 1) into 1 3.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [backup-simplify]: Simplify (- 0) into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [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)))) 3.653 * [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))) 3.653 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.653 * [taylor]: Taking taylor expansion of 2 in n 3.653 * [backup-simplify]: Simplify 2 into 2 3.653 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.653 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.653 * [taylor]: Taking taylor expansion of n in n 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.653 * [backup-simplify]: Simplify (* 1 1) into 1 3.654 * [backup-simplify]: Simplify (* 1 1) into 1 3.654 * [backup-simplify]: Simplify (/ 1 1) into 1 3.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.659 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.659 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.659 * [taylor]: Taking taylor expansion of -1 in n 3.659 * [backup-simplify]: Simplify -1 into -1 3.659 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.660 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.660 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.660 * [taylor]: Taking taylor expansion of f in n 3.660 * [backup-simplify]: Simplify f into f 3.660 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.660 * [taylor]: Taking taylor expansion of (/ 1 n) 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 3.660 * [backup-simplify]: Simplify (/ 1 1) into 1 3.660 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.660 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.660 * [taylor]: Taking taylor expansion of f in n 3.660 * [backup-simplify]: Simplify f into f 3.660 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.660 * [taylor]: Taking taylor expansion of (/ 1 n) 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 3.660 * [backup-simplify]: Simplify (/ 1 1) into 1 3.661 * [backup-simplify]: Simplify (+ 0 1) into 1 3.661 * [backup-simplify]: Simplify (- 1) into -1 3.661 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.661 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.661 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.661 * [taylor]: Taking taylor expansion of -1 in f 3.662 * [backup-simplify]: Simplify -1 into -1 3.662 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.662 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.662 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.662 * [taylor]: Taking taylor expansion of f in f 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.662 * [backup-simplify]: Simplify (/ 1 1) into 1 3.662 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.662 * [taylor]: Taking taylor expansion of n in f 3.662 * [backup-simplify]: Simplify n into n 3.662 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.662 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.662 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.662 * [taylor]: Taking taylor expansion of f in f 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.663 * [backup-simplify]: Simplify (/ 1 1) into 1 3.663 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.663 * [taylor]: Taking taylor expansion of n in f 3.663 * [backup-simplify]: Simplify n into n 3.663 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.663 * [backup-simplify]: Simplify (+ 1 0) into 1 3.664 * [backup-simplify]: Simplify (+ 1 0) into 1 3.664 * [backup-simplify]: Simplify (/ 1 1) into 1 3.664 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.664 * [taylor]: Taking taylor expansion of -1 in f 3.664 * [backup-simplify]: Simplify -1 into -1 3.664 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.664 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.664 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.664 * [taylor]: Taking taylor expansion of f in f 3.664 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify 1 into 1 3.665 * [backup-simplify]: Simplify (/ 1 1) into 1 3.665 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.665 * [taylor]: Taking taylor expansion of n in f 3.665 * [backup-simplify]: Simplify n into n 3.665 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.665 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.665 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.665 * [taylor]: Taking taylor expansion of f in f 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [backup-simplify]: Simplify (/ 1 1) into 1 3.665 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.665 * [taylor]: Taking taylor expansion of n in f 3.666 * [backup-simplify]: Simplify n into n 3.666 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.666 * [backup-simplify]: Simplify (+ 1 0) into 1 3.666 * [backup-simplify]: Simplify (+ 1 0) into 1 3.667 * [backup-simplify]: Simplify (/ 1 1) into 1 3.668 * [backup-simplify]: Simplify (* -1 1) into -1 3.668 * [taylor]: Taking taylor expansion of -1 in n 3.668 * [backup-simplify]: Simplify -1 into -1 3.668 * [backup-simplify]: Simplify -1 into -1 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.670 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.670 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.670 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.671 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.671 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.671 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.671 * [taylor]: Taking taylor expansion of 2 in n 3.671 * [backup-simplify]: Simplify 2 into 2 3.671 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.671 * [taylor]: Taking taylor expansion of n in n 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.671 * [backup-simplify]: Simplify (/ 1 1) into 1 3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.673 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.673 * [backup-simplify]: Simplify (- 0) into 0 3.673 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.677 * [backup-simplify]: Simplify (- 0) into 0 3.677 * [backup-simplify]: Simplify (+ 0 0) into 0 3.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.679 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.679 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.679 * [taylor]: Taking taylor expansion of 2 in n 3.679 * [backup-simplify]: Simplify 2 into 2 3.679 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.679 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.679 * [taylor]: Taking taylor expansion of n in n 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (* 1 1) into 1 3.680 * [backup-simplify]: Simplify (/ 1 1) into 1 3.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 3.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.687 * [backup-simplify]: Simplify (- 0) into 0 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.689 * [backup-simplify]: Simplify (+ 0 0) into 0 3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.691 * [backup-simplify]: Simplify (- 0) into 0 3.692 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [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))) 3.694 * [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)))) 3.695 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.695 * [taylor]: Taking taylor expansion of 2 in n 3.695 * [backup-simplify]: Simplify 2 into 2 3.695 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.695 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.695 * [taylor]: Taking taylor expansion of n in n 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (* 1 1) into 1 3.696 * [backup-simplify]: Simplify (* 1 1) into 1 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (- 0) into 0 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify -1 into -1 3.706 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.706 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.707 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.707 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.707 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.707 * [taylor]: Taking taylor expansion of f in n 3.707 * [backup-simplify]: Simplify f into f 3.707 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.707 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.707 * [taylor]: Taking taylor expansion of n in n 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (/ 1 1) into 1 3.707 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.707 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.707 * [taylor]: Taking taylor expansion of n in n 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.708 * [backup-simplify]: Simplify (/ 1 1) into 1 3.708 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.708 * [taylor]: Taking taylor expansion of f in n 3.708 * [backup-simplify]: Simplify f into f 3.708 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.708 * [backup-simplify]: Simplify (+ 0 1) into 1 3.709 * [backup-simplify]: Simplify (+ 1 0) into 1 3.709 * [backup-simplify]: Simplify (/ 1 1) into 1 3.709 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.709 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.709 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.709 * [taylor]: Taking taylor expansion of f in f 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (/ 1 1) into 1 3.710 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.710 * [taylor]: Taking taylor expansion of n in f 3.710 * [backup-simplify]: Simplify n into n 3.710 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.710 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.710 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.710 * [taylor]: Taking taylor expansion of n in f 3.710 * [backup-simplify]: Simplify n into n 3.710 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.710 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.710 * [taylor]: Taking taylor expansion of f in f 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (/ 1 1) into 1 3.711 * [backup-simplify]: Simplify (+ 1 0) into 1 3.712 * [backup-simplify]: Simplify (- 1) into -1 3.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.713 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.713 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.713 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.713 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.713 * [taylor]: Taking taylor expansion of f in f 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.713 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.713 * [taylor]: Taking taylor expansion of n in f 3.713 * [backup-simplify]: Simplify n into n 3.713 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.713 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.713 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.713 * [taylor]: Taking taylor expansion of n in f 3.713 * [backup-simplify]: Simplify n into n 3.714 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.714 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.714 * [taylor]: Taking taylor expansion of f in f 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.714 * [backup-simplify]: Simplify (/ 1 1) into 1 3.715 * [backup-simplify]: Simplify (+ 1 0) into 1 3.715 * [backup-simplify]: Simplify (- 1) into -1 3.716 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.716 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.716 * [taylor]: Taking taylor expansion of -1 in n 3.716 * [backup-simplify]: Simplify -1 into -1 3.716 * [backup-simplify]: Simplify -1 into -1 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.717 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (- 0) into 0 3.719 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.719 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.719 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.719 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.719 * [taylor]: Taking taylor expansion of 2 in n 3.719 * [backup-simplify]: Simplify 2 into 2 3.719 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.719 * [taylor]: Taking taylor expansion of n in n 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify 1 into 1 3.719 * [backup-simplify]: Simplify (/ 1 1) into 1 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.721 * [backup-simplify]: Simplify (- 0) into 0 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.723 * [backup-simplify]: Simplify (+ 0 0) into 0 3.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (- 0) into 0 3.724 * [backup-simplify]: Simplify (+ 0 0) into 0 3.726 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.726 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.726 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.726 * [taylor]: Taking taylor expansion of 2 in n 3.726 * [backup-simplify]: Simplify 2 into 2 3.726 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.726 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.726 * [taylor]: Taking taylor expansion of n in n 3.726 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify 1 into 1 3.726 * [backup-simplify]: Simplify (* 1 1) into 1 3.727 * [backup-simplify]: Simplify (/ 1 1) into 1 3.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.732 * [backup-simplify]: Simplify (- 0) into 0 3.732 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.734 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.734 * [backup-simplify]: Simplify (- 0) into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.736 * [backup-simplify]: Simplify (+ 0 0) into 0 3.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (- 0) into 0 3.738 * [backup-simplify]: Simplify (+ 0 0) into 0 3.739 * [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)))) 3.739 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.739 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.740 * [taylor]: Taking taylor expansion of 2 in n 3.740 * [backup-simplify]: Simplify 2 into 2 3.740 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.740 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.740 * [taylor]: Taking taylor expansion of n in n 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (* 1 1) into 1 3.740 * [backup-simplify]: Simplify (* 1 1) into 1 3.741 * [backup-simplify]: Simplify (/ 1 1) into 1 3.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.750 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.750 * [backup-simplify]: Simplify (- 0) into 0 3.750 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify -1 into -1 3.751 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.751 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 3.751 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 3.751 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 3.751 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.751 * [taylor]: Taking taylor expansion of -1 in n 3.751 * [backup-simplify]: Simplify -1 into -1 3.751 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.751 * [taylor]: Taking taylor expansion of (+ n f) in n 3.751 * [taylor]: Taking taylor expansion of n in n 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [taylor]: Taking taylor expansion of f in n 3.751 * [backup-simplify]: Simplify f into f 3.751 * [taylor]: Taking taylor expansion of (- f n) in n 3.751 * [taylor]: Taking taylor expansion of f in n 3.751 * [backup-simplify]: Simplify f into f 3.751 * [taylor]: Taking taylor expansion of n in n 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (+ 0 f) into f 3.752 * [backup-simplify]: Simplify (- 0) into 0 3.752 * [backup-simplify]: Simplify (+ f 0) into f 3.752 * [backup-simplify]: Simplify (/ f f) into 1 3.752 * [backup-simplify]: Simplify (* -1 1) into -1 3.753 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.753 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.753 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.753 * [taylor]: Taking taylor expansion of -1 in f 3.753 * [backup-simplify]: Simplify -1 into -1 3.753 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.753 * [taylor]: Taking taylor expansion of (+ n f) in f 3.753 * [taylor]: Taking taylor expansion of n in f 3.753 * [backup-simplify]: Simplify n into n 3.753 * [taylor]: Taking taylor expansion of f in f 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [taylor]: Taking taylor expansion of (- f n) in f 3.753 * [taylor]: Taking taylor expansion of f in f 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [taylor]: Taking taylor expansion of n in f 3.753 * [backup-simplify]: Simplify n into n 3.753 * [backup-simplify]: Simplify (+ n 0) into n 3.753 * [backup-simplify]: Simplify (- n) into (- n) 3.753 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.753 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.754 * [backup-simplify]: Simplify (* -1 -1) into 1 3.754 * [backup-simplify]: Simplify (exp 1) into E 3.754 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.754 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.754 * [taylor]: Taking taylor expansion of -1 in f 3.754 * [backup-simplify]: Simplify -1 into -1 3.754 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.754 * [taylor]: Taking taylor expansion of (+ n f) in f 3.754 * [taylor]: Taking taylor expansion of n in f 3.754 * [backup-simplify]: Simplify n into n 3.754 * [taylor]: Taking taylor expansion of f in f 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [taylor]: Taking taylor expansion of (- f n) in f 3.754 * [taylor]: Taking taylor expansion of f in f 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [taylor]: Taking taylor expansion of n in f 3.754 * [backup-simplify]: Simplify n into n 3.754 * [backup-simplify]: Simplify (+ n 0) into n 3.754 * [backup-simplify]: Simplify (- n) into (- n) 3.754 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.754 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.755 * [backup-simplify]: Simplify (* -1 -1) into 1 3.755 * [backup-simplify]: Simplify (exp 1) into E 3.755 * [taylor]: Taking taylor expansion of E in n 3.755 * [backup-simplify]: Simplify E into E 3.755 * [backup-simplify]: Simplify E into E 3.756 * [backup-simplify]: Simplify (+ 0 1) into 1 3.756 * [backup-simplify]: Simplify (- 0) into 0 3.757 * [backup-simplify]: Simplify (+ 1 0) into 1 3.757 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.758 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.758 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.758 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 3.758 * [taylor]: Taking taylor expansion of 2 in n 3.758 * [backup-simplify]: Simplify 2 into 2 3.758 * [taylor]: Taking taylor expansion of (/ E n) in n 3.758 * [taylor]: Taking taylor expansion of E in n 3.758 * [backup-simplify]: Simplify E into E 3.758 * [taylor]: Taking taylor expansion of n in n 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.759 * [backup-simplify]: Simplify (/ E 1) into E 3.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.762 * [backup-simplify]: Simplify (- 0) into 0 3.762 * [backup-simplify]: Simplify (+ 0 0) into 0 3.762 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.763 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.763 * [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))) 3.763 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 3.763 * [taylor]: Taking taylor expansion of 4 in n 3.763 * [backup-simplify]: Simplify 4 into 4 3.764 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 3.764 * [taylor]: Taking taylor expansion of E in n 3.764 * [backup-simplify]: Simplify E into E 3.764 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.764 * [taylor]: Taking taylor expansion of n in n 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (* 1 1) into 1 3.765 * [backup-simplify]: Simplify (/ E 1) into E 3.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify (+ 0 0) into 0 3.772 * [backup-simplify]: Simplify (- 0) into 0 3.773 * [backup-simplify]: Simplify (+ 0 0) into 0 3.773 * [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)))) 3.774 * [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))) 3.775 * [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))) 3.779 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 3.779 * [taylor]: Taking taylor expansion of 22/3 in n 3.779 * [backup-simplify]: Simplify 22/3 into 22/3 3.779 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 3.779 * [taylor]: Taking taylor expansion of E in n 3.779 * [backup-simplify]: Simplify E into E 3.779 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.779 * [taylor]: Taking taylor expansion of n in n 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (* 1 1) into 1 3.780 * [backup-simplify]: Simplify (* 1 1) into 1 3.781 * [backup-simplify]: Simplify (/ E 1) into E 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify E into E 3.792 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 3.792 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 3.792 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.792 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.792 * [taylor]: Taking taylor expansion of -1 in n 3.792 * [backup-simplify]: Simplify -1 into -1 3.792 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.792 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.792 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.792 * [taylor]: Taking taylor expansion of f in n 3.792 * [backup-simplify]: Simplify f into f 3.792 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.792 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.792 * [taylor]: Taking taylor expansion of n in n 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.793 * [backup-simplify]: Simplify (/ 1 1) into 1 3.793 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.793 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.793 * [taylor]: Taking taylor expansion of f in n 3.793 * [backup-simplify]: Simplify f into f 3.793 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.793 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.793 * [taylor]: Taking taylor expansion of n in n 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [backup-simplify]: Simplify (/ 1 1) into 1 3.794 * [backup-simplify]: Simplify (+ 0 1) into 1 3.794 * [backup-simplify]: Simplify (- 1) into -1 3.795 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.795 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.795 * [backup-simplify]: Simplify (* -1 -1) into 1 3.795 * [backup-simplify]: Simplify (exp 1) into E 3.795 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.795 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.796 * [taylor]: Taking taylor expansion of -1 in f 3.796 * [backup-simplify]: Simplify -1 into -1 3.796 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.796 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.796 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.796 * [taylor]: Taking taylor expansion of f in f 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (/ 1 1) into 1 3.796 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.796 * [taylor]: Taking taylor expansion of n in f 3.796 * [backup-simplify]: Simplify n into n 3.796 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.796 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.796 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.796 * [taylor]: Taking taylor expansion of f in f 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.797 * [backup-simplify]: Simplify (/ 1 1) into 1 3.797 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.797 * [taylor]: Taking taylor expansion of n in f 3.797 * [backup-simplify]: Simplify n into n 3.797 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.797 * [backup-simplify]: Simplify (+ 1 0) into 1 3.798 * [backup-simplify]: Simplify (+ 1 0) into 1 3.798 * [backup-simplify]: Simplify (/ 1 1) into 1 3.799 * [backup-simplify]: Simplify (* -1 1) into -1 3.799 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.799 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.799 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.799 * [taylor]: Taking taylor expansion of -1 in f 3.799 * [backup-simplify]: Simplify -1 into -1 3.799 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.799 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.799 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.799 * [taylor]: Taking taylor expansion of f in f 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 1 into 1 3.800 * [backup-simplify]: Simplify (/ 1 1) into 1 3.800 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.800 * [taylor]: Taking taylor expansion of n in f 3.800 * [backup-simplify]: Simplify n into n 3.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.800 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.800 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.800 * [taylor]: Taking taylor expansion of f in f 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.800 * [backup-simplify]: Simplify (/ 1 1) into 1 3.800 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.800 * [taylor]: Taking taylor expansion of n in f 3.800 * [backup-simplify]: Simplify n into n 3.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.801 * [backup-simplify]: Simplify (+ 1 0) into 1 3.801 * [backup-simplify]: Simplify (+ 1 0) into 1 3.802 * [backup-simplify]: Simplify (/ 1 1) into 1 3.802 * [backup-simplify]: Simplify (* -1 1) into -1 3.803 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.803 * [taylor]: Taking taylor expansion of (exp -1) in n 3.803 * [taylor]: Taking taylor expansion of -1 in n 3.803 * [backup-simplify]: Simplify -1 into -1 3.803 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.803 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.805 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.806 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.806 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.806 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.806 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 3.806 * [taylor]: Taking taylor expansion of -2 in n 3.806 * [backup-simplify]: Simplify -2 into -2 3.806 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 3.806 * [taylor]: Taking taylor expansion of (exp -1) in n 3.807 * [taylor]: Taking taylor expansion of -1 in n 3.807 * [backup-simplify]: Simplify -1 into -1 3.807 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.807 * [taylor]: Taking taylor expansion of n in n 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 1 into 1 3.807 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.808 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.809 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 3.809 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.811 * [backup-simplify]: Simplify (+ 0 0) into 0 3.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.812 * [backup-simplify]: Simplify (- 0) into 0 3.812 * [backup-simplify]: Simplify (+ 0 0) into 0 3.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.813 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.814 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.814 * [taylor]: Taking taylor expansion of 0 in n 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.816 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.818 * [backup-simplify]: Simplify (+ 0 0) into 0 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.819 * [backup-simplify]: Simplify (- 0) into 0 3.819 * [backup-simplify]: Simplify (+ 0 0) into 0 3.820 * [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))) 3.821 * [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)))) 3.822 * [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))) 3.822 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 3.822 * [taylor]: Taking taylor expansion of 2/3 in n 3.822 * [backup-simplify]: Simplify 2/3 into 2/3 3.822 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 3.822 * [taylor]: Taking taylor expansion of (exp -1) in n 3.822 * [taylor]: Taking taylor expansion of -1 in n 3.822 * [backup-simplify]: Simplify -1 into -1 3.822 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.822 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.822 * [taylor]: Taking taylor expansion of n in n 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.822 * [backup-simplify]: Simplify (* 1 1) into 1 3.823 * [backup-simplify]: Simplify (* 1 1) into 1 3.823 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.824 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.830 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.832 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.832 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 3.832 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 3.832 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.832 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.832 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.832 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.832 * [taylor]: Taking taylor expansion of f in n 3.832 * [backup-simplify]: Simplify f into f 3.832 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.832 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.832 * [taylor]: Taking taylor expansion of n in n 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (/ 1 1) into 1 3.833 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.833 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.833 * [taylor]: Taking taylor expansion of n in n 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (/ 1 1) into 1 3.833 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.833 * [taylor]: Taking taylor expansion of f in n 3.833 * [backup-simplify]: Simplify f into f 3.833 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.833 * [backup-simplify]: Simplify (+ 0 1) into 1 3.834 * [backup-simplify]: Simplify (+ 1 0) into 1 3.834 * [backup-simplify]: Simplify (/ 1 1) into 1 3.834 * [backup-simplify]: Simplify (exp 1) into E 3.834 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.834 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.834 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.834 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.834 * [taylor]: Taking taylor expansion of f in f 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [backup-simplify]: Simplify (/ 1 1) into 1 3.834 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.834 * [taylor]: Taking taylor expansion of n in f 3.834 * [backup-simplify]: Simplify n into n 3.834 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.834 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.834 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.834 * [taylor]: Taking taylor expansion of n in f 3.834 * [backup-simplify]: Simplify n into n 3.835 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.835 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.835 * [taylor]: Taking taylor expansion of f in f 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify (/ 1 1) into 1 3.835 * [backup-simplify]: Simplify (+ 1 0) into 1 3.835 * [backup-simplify]: Simplify (- 1) into -1 3.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.836 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.836 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.836 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.836 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.836 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.836 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.836 * [taylor]: Taking taylor expansion of f in f 3.836 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify 1 into 1 3.836 * [backup-simplify]: Simplify (/ 1 1) into 1 3.837 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.837 * [taylor]: Taking taylor expansion of n in f 3.837 * [backup-simplify]: Simplify n into n 3.837 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.837 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.837 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.837 * [taylor]: Taking taylor expansion of n in f 3.837 * [backup-simplify]: Simplify n into n 3.837 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.837 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.837 * [taylor]: Taking taylor expansion of f in f 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 1 into 1 3.837 * [backup-simplify]: Simplify (/ 1 1) into 1 3.837 * [backup-simplify]: Simplify (+ 1 0) into 1 3.837 * [backup-simplify]: Simplify (- 1) into -1 3.838 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.838 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.838 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.838 * [taylor]: Taking taylor expansion of (exp -1) in n 3.838 * [taylor]: Taking taylor expansion of -1 in n 3.838 * [backup-simplify]: Simplify -1 into -1 3.839 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.839 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.839 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.840 * [backup-simplify]: Simplify (- 0) into 0 3.840 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.840 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.841 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.841 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 3.841 * [taylor]: Taking taylor expansion of -2 in n 3.841 * [backup-simplify]: Simplify -2 into -2 3.841 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 3.841 * [taylor]: Taking taylor expansion of (exp -1) in n 3.841 * [taylor]: Taking taylor expansion of -1 in n 3.841 * [backup-simplify]: Simplify -1 into -1 3.841 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.841 * [taylor]: Taking taylor expansion of n in n 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.843 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.845 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.846 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.848 * [backup-simplify]: Simplify (+ 0 0) into 0 3.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.849 * [backup-simplify]: Simplify (- 0) into 0 3.850 * [backup-simplify]: Simplify (+ 0 0) into 0 3.851 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.852 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.852 * [taylor]: Taking taylor expansion of 0 in n 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.858 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.860 * [backup-simplify]: Simplify (+ 0 0) into 0 3.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (- 0) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.864 * [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)))) 3.865 * [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))) 3.865 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 3.865 * [taylor]: Taking taylor expansion of 2/3 in n 3.865 * [backup-simplify]: Simplify 2/3 into 2/3 3.865 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 3.865 * [taylor]: Taking taylor expansion of (exp -1) in n 3.865 * [taylor]: Taking taylor expansion of -1 in n 3.865 * [backup-simplify]: Simplify -1 into -1 3.866 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.866 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.866 * [taylor]: Taking taylor expansion of n in n 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (* 1 1) into 1 3.867 * [backup-simplify]: Simplify (* 1 1) into 1 3.868 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.870 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.880 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.885 * * * * [progress]: [ 3 / 3 ] generating series at (2) 3.885 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 3.885 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.885 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.885 * [taylor]: Taking taylor expansion of -1 in n 3.885 * [backup-simplify]: Simplify -1 into -1 3.885 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.885 * [taylor]: Taking taylor expansion of (+ n f) in n 3.885 * [taylor]: Taking taylor expansion of n in n 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [taylor]: Taking taylor expansion of f in n 3.885 * [backup-simplify]: Simplify f into f 3.885 * [taylor]: Taking taylor expansion of (- f n) in n 3.885 * [taylor]: Taking taylor expansion of f in n 3.885 * [backup-simplify]: Simplify f into f 3.885 * [taylor]: Taking taylor expansion of n in n 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (+ 0 f) into f 3.886 * [backup-simplify]: Simplify (- 0) into 0 3.886 * [backup-simplify]: Simplify (+ f 0) into f 3.886 * [backup-simplify]: Simplify (/ f f) into 1 3.886 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.886 * [taylor]: Taking taylor expansion of -1 in f 3.886 * [backup-simplify]: Simplify -1 into -1 3.886 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.886 * [taylor]: Taking taylor expansion of (+ n f) in f 3.886 * [taylor]: Taking taylor expansion of n in f 3.886 * [backup-simplify]: Simplify n into n 3.886 * [taylor]: Taking taylor expansion of f in f 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 1 into 1 3.886 * [taylor]: Taking taylor expansion of (- f n) in f 3.886 * [taylor]: Taking taylor expansion of f in f 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 1 into 1 3.886 * [taylor]: Taking taylor expansion of n in f 3.886 * [backup-simplify]: Simplify n into n 3.886 * [backup-simplify]: Simplify (+ n 0) into n 3.886 * [backup-simplify]: Simplify (- n) into (- n) 3.886 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.887 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.887 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.887 * [taylor]: Taking taylor expansion of -1 in f 3.887 * [backup-simplify]: Simplify -1 into -1 3.887 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.887 * [taylor]: Taking taylor expansion of (+ n f) in f 3.887 * [taylor]: Taking taylor expansion of n in f 3.887 * [backup-simplify]: Simplify n into n 3.887 * [taylor]: Taking taylor expansion of f in f 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [taylor]: Taking taylor expansion of (- f n) in f 3.887 * [taylor]: Taking taylor expansion of f in f 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [taylor]: Taking taylor expansion of n in f 3.887 * [backup-simplify]: Simplify n into n 3.887 * [backup-simplify]: Simplify (+ n 0) into n 3.887 * [backup-simplify]: Simplify (- n) into (- n) 3.887 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.887 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.888 * [backup-simplify]: Simplify (* -1 -1) into 1 3.888 * [taylor]: Taking taylor expansion of 1 in n 3.888 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (+ 0 1) into 1 3.889 * [backup-simplify]: Simplify (- 0) into 0 3.889 * [backup-simplify]: Simplify (+ 1 0) into 1 3.889 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.890 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.890 * [taylor]: Taking taylor expansion of 2 in n 3.890 * [backup-simplify]: Simplify 2 into 2 3.890 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.890 * [taylor]: Taking taylor expansion of n in n 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (/ 1 1) into 1 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify (+ 0 0) into 0 3.893 * [backup-simplify]: Simplify (- 0) into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.894 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.894 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.894 * [taylor]: Taking taylor expansion of 2 in n 3.894 * [backup-simplify]: Simplify 2 into 2 3.894 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.894 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.895 * [taylor]: Taking taylor expansion of n in n 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (* 1 1) into 1 3.895 * [backup-simplify]: Simplify (/ 1 1) into 1 3.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.900 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.902 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (- 0) into 0 3.903 * [backup-simplify]: Simplify (+ 0 0) into 0 3.904 * [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)))) 3.907 * [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))) 3.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.907 * [taylor]: Taking taylor expansion of 2 in n 3.907 * [backup-simplify]: Simplify 2 into 2 3.907 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.907 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.907 * [taylor]: Taking taylor expansion of n in n 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.908 * [backup-simplify]: Simplify (* 1 1) into 1 3.908 * [backup-simplify]: Simplify (* 1 1) into 1 3.909 * [backup-simplify]: Simplify (/ 1 1) into 1 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.919 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.919 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.919 * [taylor]: Taking taylor expansion of -1 in n 3.919 * [backup-simplify]: Simplify -1 into -1 3.919 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.919 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.919 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.919 * [taylor]: Taking taylor expansion of f in n 3.919 * [backup-simplify]: Simplify f into f 3.919 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.919 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.919 * [taylor]: Taking taylor expansion of n in n 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.920 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.920 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.920 * [taylor]: Taking taylor expansion of f in n 3.920 * [backup-simplify]: Simplify f into f 3.920 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.920 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.920 * [taylor]: Taking taylor expansion of n in n 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.921 * [backup-simplify]: Simplify (+ 0 1) into 1 3.921 * [backup-simplify]: Simplify (- 1) into -1 3.922 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.922 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.922 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.922 * [taylor]: Taking taylor expansion of -1 in f 3.922 * [backup-simplify]: Simplify -1 into -1 3.922 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.922 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.922 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.922 * [taylor]: Taking taylor expansion of f in f 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (/ 1 1) into 1 3.923 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.923 * [taylor]: Taking taylor expansion of n in f 3.923 * [backup-simplify]: Simplify n into n 3.923 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.923 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.923 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.923 * [taylor]: Taking taylor expansion of f in f 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (/ 1 1) into 1 3.924 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.924 * [taylor]: Taking taylor expansion of n in f 3.924 * [backup-simplify]: Simplify n into n 3.924 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.924 * [backup-simplify]: Simplify (+ 1 0) into 1 3.925 * [backup-simplify]: Simplify (+ 1 0) into 1 3.925 * [backup-simplify]: Simplify (/ 1 1) into 1 3.925 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.925 * [taylor]: Taking taylor expansion of -1 in f 3.925 * [backup-simplify]: Simplify -1 into -1 3.925 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.925 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.925 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.925 * [taylor]: Taking taylor expansion of f in f 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (/ 1 1) into 1 3.926 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.926 * [taylor]: Taking taylor expansion of n in f 3.926 * [backup-simplify]: Simplify n into n 3.926 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.926 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.926 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.926 * [taylor]: Taking taylor expansion of f in f 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (/ 1 1) into 1 3.926 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.926 * [taylor]: Taking taylor expansion of n in f 3.926 * [backup-simplify]: Simplify n into n 3.926 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.927 * [backup-simplify]: Simplify (+ 1 0) into 1 3.927 * [backup-simplify]: Simplify (+ 1 0) into 1 3.928 * [backup-simplify]: Simplify (/ 1 1) into 1 3.928 * [backup-simplify]: Simplify (* -1 1) into -1 3.928 * [taylor]: Taking taylor expansion of -1 in n 3.928 * [backup-simplify]: Simplify -1 into -1 3.928 * [backup-simplify]: Simplify -1 into -1 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.929 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.930 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.930 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.931 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.931 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.931 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.931 * [taylor]: Taking taylor expansion of 2 in n 3.931 * [backup-simplify]: Simplify 2 into 2 3.931 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.931 * [taylor]: Taking taylor expansion of n in n 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (/ 1 1) into 1 3.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.933 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.933 * [backup-simplify]: Simplify (- 0) into 0 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.935 * [backup-simplify]: Simplify (+ 0 0) into 0 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.936 * [backup-simplify]: Simplify (- 0) into 0 3.937 * [backup-simplify]: Simplify (+ 0 0) into 0 3.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.939 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.939 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.939 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.939 * [taylor]: Taking taylor expansion of 2 in n 3.939 * [backup-simplify]: Simplify 2 into 2 3.939 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.939 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.939 * [taylor]: Taking taylor expansion of n in n 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.939 * [backup-simplify]: Simplify (* 1 1) into 1 3.940 * [backup-simplify]: Simplify (/ 1 1) into 1 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.944 * [backup-simplify]: Simplify (- 0) into 0 3.944 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.947 * [backup-simplify]: Simplify (- 0) into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.950 * [backup-simplify]: Simplify (- 0) into 0 3.951 * [backup-simplify]: Simplify (+ 0 0) into 0 3.952 * [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))) 3.953 * [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)))) 3.953 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.953 * [taylor]: Taking taylor expansion of 2 in n 3.953 * [backup-simplify]: Simplify 2 into 2 3.953 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.953 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.953 * [taylor]: Taking taylor expansion of n in n 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 1 into 1 3.954 * [backup-simplify]: Simplify (* 1 1) into 1 3.954 * [backup-simplify]: Simplify (* 1 1) into 1 3.955 * [backup-simplify]: Simplify (/ 1 1) into 1 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.964 * [backup-simplify]: Simplify (- 0) into 0 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify -1 into -1 3.965 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.965 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.965 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.965 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.965 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.965 * [taylor]: Taking taylor expansion of f in n 3.965 * [backup-simplify]: Simplify f into f 3.965 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.965 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.965 * [taylor]: Taking taylor expansion of n in n 3.965 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (/ 1 1) into 1 3.966 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.966 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.966 * [taylor]: Taking taylor expansion of n in n 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (/ 1 1) into 1 3.966 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.966 * [taylor]: Taking taylor expansion of f in n 3.966 * [backup-simplify]: Simplify f into f 3.966 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.967 * [backup-simplify]: Simplify (+ 0 1) into 1 3.967 * [backup-simplify]: Simplify (+ 1 0) into 1 3.968 * [backup-simplify]: Simplify (/ 1 1) into 1 3.968 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.968 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.968 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.968 * [taylor]: Taking taylor expansion of f in f 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.968 * [backup-simplify]: Simplify (/ 1 1) into 1 3.968 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.968 * [taylor]: Taking taylor expansion of n in f 3.968 * [backup-simplify]: Simplify n into n 3.968 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.968 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.968 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.968 * [taylor]: Taking taylor expansion of n in f 3.968 * [backup-simplify]: Simplify n into n 3.968 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.968 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.969 * [taylor]: Taking taylor expansion of f in f 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (/ 1 1) into 1 3.969 * [backup-simplify]: Simplify (+ 1 0) into 1 3.970 * [backup-simplify]: Simplify (- 1) into -1 3.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.971 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.971 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.971 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.971 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.971 * [taylor]: Taking taylor expansion of f in f 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.971 * [backup-simplify]: Simplify (/ 1 1) into 1 3.971 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.971 * [taylor]: Taking taylor expansion of n in f 3.971 * [backup-simplify]: Simplify n into n 3.971 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.971 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.971 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.971 * [taylor]: Taking taylor expansion of n in f 3.971 * [backup-simplify]: Simplify n into n 3.971 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.971 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.971 * [taylor]: Taking taylor expansion of f in f 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [backup-simplify]: Simplify (+ 1 0) into 1 3.973 * [backup-simplify]: Simplify (- 1) into -1 3.973 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.974 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.974 * [taylor]: Taking taylor expansion of -1 in n 3.974 * [backup-simplify]: Simplify -1 into -1 3.974 * [backup-simplify]: Simplify -1 into -1 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (- 0) into 0 3.976 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.976 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.976 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.976 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.976 * [taylor]: Taking taylor expansion of 2 in n 3.976 * [backup-simplify]: Simplify 2 into 2 3.976 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.976 * [taylor]: Taking taylor expansion of n in n 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.977 * [backup-simplify]: Simplify (/ 1 1) into 1 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.978 * [backup-simplify]: Simplify (- 0) into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.980 * [backup-simplify]: Simplify (+ 0 0) into 0 3.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (- 0) into 0 3.982 * [backup-simplify]: Simplify (+ 0 0) into 0 3.983 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.983 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.983 * [taylor]: Taking taylor expansion of 2 in n 3.983 * [backup-simplify]: Simplify 2 into 2 3.983 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.983 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.983 * [taylor]: Taking taylor expansion of n in n 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.984 * [backup-simplify]: Simplify (* 1 1) into 1 3.984 * [backup-simplify]: Simplify (/ 1 1) into 1 3.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.989 * [backup-simplify]: Simplify (- 0) into 0 3.989 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.991 * [backup-simplify]: Simplify (- 0) into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.993 * [backup-simplify]: Simplify (+ 0 0) into 0 3.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.994 * [backup-simplify]: Simplify (- 0) into 0 3.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [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)))) 3.996 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.996 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.996 * [taylor]: Taking taylor expansion of 2 in n 3.997 * [backup-simplify]: Simplify 2 into 2 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.997 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.997 * [taylor]: Taking taylor expansion of n in n 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (* 1 1) into 1 3.997 * [backup-simplify]: Simplify (* 1 1) into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.007 * [backup-simplify]: Simplify (- 0) into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify -1 into -1 4.008 * * * [progress]: simplifying candidates 4.008 * * * * [progress]: [ 1 / 264 ] simplifiying candidate # 4.008 * * * * [progress]: [ 2 / 264 ] simplifiying candidate # 4.008 * * * * [progress]: [ 3 / 264 ] simplifiying candidate # 4.008 * * * * [progress]: [ 4 / 264 ] simplifiying candidate # 4.008 * * * * [progress]: [ 5 / 264 ] simplifiying candidate # 4.008 * * * * [progress]: [ 6 / 264 ] simplifiying candidate # 4.008 * * * * [progress]: [ 7 / 264 ] simplifiying candidate # 4.008 * * * * [progress]: [ 8 / 264 ] simplifiying candidate # 4.008 * * * * [progress]: [ 9 / 264 ] simplifiying candidate # 4.008 * * * * [progress]: [ 10 / 264 ] simplifiying candidate # 4.008 * * * * [progress]: [ 11 / 264 ] simplifiying candidate # 4.008 * * * * [progress]: [ 12 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 13 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 14 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 15 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 16 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 17 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 18 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 19 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 20 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 21 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 22 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 23 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 24 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 25 / 264 ] simplifiying candidate # 4.009 * * * * [progress]: [ 26 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 27 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 28 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 29 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 30 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 31 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 32 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 33 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 34 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 35 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 36 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 37 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 38 / 264 ] simplifiying candidate # 4.010 * * * * [progress]: [ 39 / 264 ] simplifiying candidate # 4.011 * * * * [progress]: [ 40 / 264 ] simplifiying candidate # 4.011 * * * * [progress]: [ 41 / 264 ] simplifiying candidate # 4.011 * * * * [progress]: [ 42 / 264 ] simplifiying candidate # 4.011 * * * * [progress]: [ 43 / 264 ] simplifiying candidate # 4.011 * * * * [progress]: [ 44 / 264 ] simplifiying candidate # 4.011 * * * * [progress]: [ 45 / 264 ] simplifiying candidate # 4.011 * * * * [progress]: [ 46 / 264 ] simplifiying candidate # 4.011 * * * * [progress]: [ 47 / 264 ] simplifiying candidate # 4.011 * * * * [progress]: [ 48 / 264 ] simplifiying candidate # 4.011 * * * * [progress]: [ 49 / 264 ] simplifiying candidate # 4.012 * * * * [progress]: [ 50 / 264 ] simplifiying candidate # 4.012 * * * * [progress]: [ 51 / 264 ] simplifiying candidate # 4.012 * * * * [progress]: [ 52 / 264 ] simplifiying candidate # 4.012 * * * * [progress]: [ 53 / 264 ] simplifiying candidate # 4.012 * * * * [progress]: [ 54 / 264 ] simplifiying candidate # 4.012 * * * * [progress]: [ 55 / 264 ] simplifiying candidate # 4.012 * * * * [progress]: [ 56 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 57 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 58 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 59 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 60 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 61 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 62 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 63 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 64 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 65 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 66 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 67 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 68 / 264 ] simplifiying candidate # 4.013 * * * * [progress]: [ 69 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 70 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 71 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 72 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 73 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 74 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 75 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 76 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 77 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 78 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 79 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 80 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 81 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 82 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 83 / 264 ] simplifiying candidate # 4.014 * * * * [progress]: [ 84 / 264 ] simplifiying candidate # 4.015 * * * * [progress]: [ 85 / 264 ] simplifiying candidate # 4.015 * * * * [progress]: [ 86 / 264 ] 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(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))) (/ (- (* 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(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)) 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(real->posit16 (log (exp (/ (- (+ f n)) (- f n))))) 1 -1 -1 E (exp -1) (exp -1) 1 -1 -1 4.031 * * [simplify]: iteration 0: 244 enodes 4.082 * * [simplify]: iteration 1: 442 enodes 4.199 * * [simplify]: iteration 2: 913 enodes 4.550 * * [simplify]: iteration 3: 2747 enodes 5.507 * * [simplify]: iteration complete: 5001 enodes 5.508 * * [simplify]: Extracting #0: cost 134 inf + 0 5.509 * * [simplify]: Extracting #1: cost 687 inf + 75 5.514 * * [simplify]: Extracting #2: cost 1170 inf + 2201 5.525 * * [simplify]: Extracting #3: cost 1191 inf + 41421 5.556 * * [simplify]: Extracting #4: cost 501 inf + 184755 5.613 * * [simplify]: Extracting #5: cost 114 inf + 289280 5.684 * * [simplify]: Extracting #6: cost 44 inf + 321054 5.772 * * [simplify]: Extracting #7: cost 7 inf + 327229 5.850 * * [simplify]: Extracting #8: cost 0 inf + 328999 5.931 * [simplify]: Simplified to: (log (/ (- (- f) n) (- f n))) (log (/ (- (- f) n) (- f n))) (exp (/ (- (- f) n) (- f n))) (- (* (* (/ (+ n f) (- f n)) (/ 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(- f n))) (log (/ (- (- f) n) (- f n))) (exp (/ (- (- f) n) (- f n))) (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n)))) (cbrt (/ (- (- f) n) (- f n))) (- (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (sqrt (/ (- (- f) n) (- f n))) (sqrt (/ (- (- f) n) (- f n))) (real->posit16 (/ (- (- f) n) (- f n))) 1 -1 -1 E (/ 1 E) (/ 1 E) 1 -1 -1 5.962 * * * [progress]: adding candidates to table 7.042 * * [progress]: iteration 3 / 4 7.042 * * * [progress]: picking best candidate 7.062 * * * * [pick]: Picked # 7.062 * * * [progress]: localizing error 7.104 * * * [progress]: generating rewritten candidates 7.104 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 7.149 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 7.188 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.289 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.373 * * * [progress]: generating series expansions 7.373 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 7.373 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 7.373 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 7.373 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 7.373 * [taylor]: Taking taylor expansion of (- f n) in n 7.373 * [taylor]: Taking taylor expansion of f in n 7.373 * [backup-simplify]: Simplify f into f 7.373 * [taylor]: Taking taylor expansion of n in n 7.373 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify 1 into 1 7.373 * [taylor]: Taking taylor expansion of (+ n f) in n 7.373 * [taylor]: Taking taylor expansion of n in n 7.373 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify 1 into 1 7.373 * [taylor]: Taking taylor expansion of f in n 7.373 * [backup-simplify]: Simplify f into f 7.374 * [backup-simplify]: Simplify (- 0) into 0 7.374 * [backup-simplify]: Simplify (+ f 0) into f 7.374 * [backup-simplify]: Simplify (+ 0 f) into f 7.374 * [backup-simplify]: Simplify (/ f f) into 1 7.374 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 7.374 * [taylor]: Taking taylor expansion of (- f n) in f 7.374 * [taylor]: Taking taylor expansion of f in f 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 1 into 1 7.374 * [taylor]: Taking taylor expansion of n in f 7.374 * [backup-simplify]: Simplify n into n 7.374 * [taylor]: Taking taylor expansion of (+ n f) in f 7.374 * [taylor]: Taking taylor expansion of n in f 7.374 * [backup-simplify]: Simplify n into n 7.374 * [taylor]: Taking taylor expansion of f in f 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 1 into 1 7.374 * [backup-simplify]: Simplify (- n) into (- n) 7.374 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.374 * [backup-simplify]: Simplify (+ n 0) into n 7.374 * [backup-simplify]: Simplify (/ (- n) n) into -1 7.374 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 7.374 * [taylor]: Taking taylor expansion of (- f n) in f 7.374 * [taylor]: Taking taylor expansion of f in f 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 1 into 1 7.375 * [taylor]: Taking taylor expansion of n in f 7.375 * [backup-simplify]: Simplify n into n 7.375 * [taylor]: Taking taylor expansion of (+ n f) in f 7.375 * [taylor]: Taking taylor expansion of n in f 7.375 * [backup-simplify]: Simplify n into n 7.375 * [taylor]: Taking taylor expansion of f in f 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify 1 into 1 7.375 * [backup-simplify]: Simplify (- n) into (- n) 7.375 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.375 * [backup-simplify]: Simplify (+ n 0) into n 7.375 * [backup-simplify]: Simplify (/ (- n) n) into -1 7.375 * [taylor]: Taking taylor expansion of -1 in n 7.375 * [backup-simplify]: Simplify -1 into -1 7.375 * [backup-simplify]: Simplify -1 into -1 7.375 * [backup-simplify]: Simplify (- 0) into 0 7.376 * [backup-simplify]: Simplify (+ 1 0) into 1 7.376 * [backup-simplify]: Simplify (+ 0 1) into 1 7.376 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 7.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.376 * [taylor]: Taking taylor expansion of 2 in n 7.376 * [backup-simplify]: Simplify 2 into 2 7.376 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.376 * [taylor]: Taking taylor expansion of n in n 7.376 * [backup-simplify]: Simplify 0 into 0 7.376 * [backup-simplify]: Simplify 1 into 1 7.377 * [backup-simplify]: Simplify (/ 1 1) into 1 7.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.379 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify (- 0) into 0 7.379 * [backup-simplify]: Simplify (+ 0 0) into 0 7.380 * [backup-simplify]: Simplify (+ 0 0) into 0 7.380 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 7.380 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.380 * [taylor]: Taking taylor expansion of 2 in n 7.380 * [backup-simplify]: Simplify 2 into 2 7.380 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.380 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.380 * [taylor]: Taking taylor expansion of n in n 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify 1 into 1 7.380 * [backup-simplify]: Simplify (* 1 1) into 1 7.381 * [backup-simplify]: Simplify (/ 1 1) into 1 7.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.384 * [backup-simplify]: Simplify (- 0) into 0 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.385 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify (- 0) into 0 7.386 * [backup-simplify]: Simplify (+ 0 0) into 0 7.386 * [backup-simplify]: Simplify (+ 0 0) into 0 7.386 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 7.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.386 * [taylor]: Taking taylor expansion of 2 in n 7.386 * [backup-simplify]: Simplify 2 into 2 7.386 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.386 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.386 * [taylor]: Taking taylor expansion of n in n 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 1 into 1 7.387 * [backup-simplify]: Simplify (* 1 1) into 1 7.387 * [backup-simplify]: Simplify (* 1 1) into 1 7.387 * [backup-simplify]: Simplify (/ 1 1) into 1 7.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.392 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify -1 into -1 7.393 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 7.393 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 7.393 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 7.393 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.393 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.393 * [taylor]: Taking taylor expansion of f in n 7.393 * [backup-simplify]: Simplify f into f 7.393 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.393 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.393 * [taylor]: Taking taylor expansion of n in n 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 1 into 1 7.393 * [backup-simplify]: Simplify (/ 1 1) into 1 7.393 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.393 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.393 * [taylor]: Taking taylor expansion of f in n 7.393 * [backup-simplify]: Simplify f into f 7.393 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.393 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.393 * [taylor]: Taking taylor expansion of n in n 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 1 into 1 7.399 * [backup-simplify]: Simplify (/ 1 1) into 1 7.400 * [backup-simplify]: Simplify (- 1) into -1 7.400 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.401 * [backup-simplify]: Simplify (+ 0 1) into 1 7.401 * [backup-simplify]: Simplify (/ -1 1) into -1 7.401 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 7.401 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.401 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.402 * [taylor]: Taking taylor expansion of f in f 7.402 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify 1 into 1 7.402 * [backup-simplify]: Simplify (/ 1 1) into 1 7.402 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.402 * [taylor]: Taking taylor expansion of n in f 7.402 * [backup-simplify]: Simplify n into n 7.402 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.402 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.402 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.402 * [taylor]: Taking taylor expansion of f in f 7.402 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify 1 into 1 7.403 * [backup-simplify]: Simplify (/ 1 1) into 1 7.403 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.403 * [taylor]: Taking taylor expansion of n in f 7.403 * [backup-simplify]: Simplify n into n 7.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.403 * [backup-simplify]: Simplify (+ 1 0) into 1 7.404 * [backup-simplify]: Simplify (+ 1 0) into 1 7.404 * [backup-simplify]: Simplify (/ 1 1) into 1 7.404 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 7.404 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.404 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.404 * [taylor]: Taking taylor expansion of f in f 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify 1 into 1 7.405 * [backup-simplify]: Simplify (/ 1 1) into 1 7.405 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.405 * [taylor]: Taking taylor expansion of n in f 7.405 * [backup-simplify]: Simplify n into n 7.405 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.405 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.405 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.405 * [taylor]: Taking taylor expansion of f in f 7.405 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify 1 into 1 7.405 * [backup-simplify]: Simplify (/ 1 1) into 1 7.405 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.405 * [taylor]: Taking taylor expansion of n in f 7.405 * [backup-simplify]: Simplify n into n 7.405 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.406 * [backup-simplify]: Simplify (+ 1 0) into 1 7.406 * [backup-simplify]: Simplify (+ 1 0) into 1 7.407 * [backup-simplify]: Simplify (/ 1 1) into 1 7.407 * [taylor]: Taking taylor expansion of 1 in n 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [backup-simplify]: Simplify 1 into 1 7.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.408 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.408 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.409 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.409 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 7.409 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.409 * [taylor]: Taking taylor expansion of 2 in n 7.409 * [backup-simplify]: Simplify 2 into 2 7.409 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.409 * [taylor]: Taking taylor expansion of n in n 7.409 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify 1 into 1 7.410 * [backup-simplify]: Simplify (/ 1 1) into 1 7.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.411 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.411 * [backup-simplify]: Simplify (- 0) into 0 7.411 * [backup-simplify]: Simplify 0 into 0 7.411 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.412 * [backup-simplify]: Simplify (- 0) into 0 7.413 * [backup-simplify]: Simplify (+ 0 0) into 0 7.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.414 * [backup-simplify]: Simplify (+ 0 0) into 0 7.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 7.414 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.414 * [taylor]: Taking taylor expansion of 2 in n 7.415 * [backup-simplify]: Simplify 2 into 2 7.415 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.415 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.415 * [taylor]: Taking taylor expansion of n in n 7.415 * [backup-simplify]: Simplify 0 into 0 7.415 * [backup-simplify]: Simplify 1 into 1 7.415 * [backup-simplify]: Simplify (* 1 1) into 1 7.415 * [backup-simplify]: Simplify (/ 1 1) into 1 7.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.418 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.418 * [backup-simplify]: Simplify 0 into 0 7.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.419 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.419 * [backup-simplify]: Simplify (- 0) into 0 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.420 * [backup-simplify]: Simplify (- 0) into 0 7.420 * [backup-simplify]: Simplify (+ 0 0) into 0 7.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.421 * [backup-simplify]: Simplify (+ 0 0) into 0 7.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.422 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.422 * [taylor]: Taking taylor expansion of 2 in n 7.422 * [backup-simplify]: Simplify 2 into 2 7.422 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.422 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.422 * [taylor]: Taking taylor expansion of n in n 7.423 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify 1 into 1 7.423 * [backup-simplify]: Simplify (* 1 1) into 1 7.423 * [backup-simplify]: Simplify (* 1 1) into 1 7.424 * [backup-simplify]: Simplify (/ 1 1) into 1 7.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.429 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (- 0) into 0 7.430 * [backup-simplify]: Simplify 0 into 0 7.430 * [backup-simplify]: Simplify 1 into 1 7.430 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 7.430 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 7.430 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 7.430 * [taylor]: Taking taylor expansion of -1 in n 7.430 * [backup-simplify]: Simplify -1 into -1 7.430 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 7.430 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.430 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.430 * [taylor]: Taking taylor expansion of n in n 7.430 * [backup-simplify]: Simplify 0 into 0 7.430 * [backup-simplify]: Simplify 1 into 1 7.430 * [backup-simplify]: Simplify (/ 1 1) into 1 7.430 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.430 * [taylor]: Taking taylor expansion of f in n 7.430 * [backup-simplify]: Simplify f into f 7.430 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.431 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.431 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.431 * [taylor]: Taking taylor expansion of f in n 7.431 * [backup-simplify]: Simplify f into f 7.431 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.431 * [taylor]: Taking taylor expansion of n in n 7.431 * [backup-simplify]: Simplify 0 into 0 7.431 * [backup-simplify]: Simplify 1 into 1 7.431 * [backup-simplify]: Simplify (/ 1 1) into 1 7.431 * [backup-simplify]: Simplify (+ 1 0) into 1 7.431 * [backup-simplify]: Simplify (+ 0 1) into 1 7.432 * [backup-simplify]: Simplify (/ 1 1) into 1 7.432 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 7.432 * [taylor]: Taking taylor expansion of -1 in f 7.432 * [backup-simplify]: Simplify -1 into -1 7.432 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 7.432 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.432 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.432 * [taylor]: Taking taylor expansion of n in f 7.432 * [backup-simplify]: Simplify n into n 7.432 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.432 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.432 * [taylor]: Taking taylor expansion of f in f 7.432 * [backup-simplify]: Simplify 0 into 0 7.432 * [backup-simplify]: Simplify 1 into 1 7.432 * [backup-simplify]: Simplify (/ 1 1) into 1 7.432 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.432 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.432 * [taylor]: Taking taylor expansion of f in f 7.432 * [backup-simplify]: Simplify 0 into 0 7.432 * [backup-simplify]: Simplify 1 into 1 7.432 * [backup-simplify]: Simplify (/ 1 1) into 1 7.433 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.433 * [taylor]: Taking taylor expansion of n in f 7.433 * [backup-simplify]: Simplify n into n 7.433 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.433 * [backup-simplify]: Simplify (- 1) into -1 7.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.433 * [backup-simplify]: Simplify (+ 1 0) into 1 7.434 * [backup-simplify]: Simplify (/ -1 1) into -1 7.434 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 7.434 * [taylor]: Taking taylor expansion of -1 in f 7.434 * [backup-simplify]: Simplify -1 into -1 7.434 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 7.434 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.434 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.434 * [taylor]: Taking taylor expansion of n in f 7.434 * [backup-simplify]: Simplify n into n 7.434 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.434 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.434 * [taylor]: Taking taylor expansion of f in f 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify 1 into 1 7.434 * [backup-simplify]: Simplify (/ 1 1) into 1 7.434 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.434 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.434 * [taylor]: Taking taylor expansion of f in f 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify 1 into 1 7.435 * [backup-simplify]: Simplify (/ 1 1) into 1 7.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.435 * [taylor]: Taking taylor expansion of n in f 7.435 * [backup-simplify]: Simplify n into n 7.435 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.435 * [backup-simplify]: Simplify (- 1) into -1 7.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.435 * [backup-simplify]: Simplify (+ 1 0) into 1 7.436 * [backup-simplify]: Simplify (/ -1 1) into -1 7.436 * [backup-simplify]: Simplify (* -1 -1) into 1 7.436 * [taylor]: Taking taylor expansion of 1 in n 7.436 * [backup-simplify]: Simplify 1 into 1 7.436 * [backup-simplify]: Simplify 1 into 1 7.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.437 * [backup-simplify]: Simplify (- 0) into 0 7.437 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.437 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.437 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 7.438 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 7.438 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.438 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.438 * [taylor]: Taking taylor expansion of 2 in n 7.438 * [backup-simplify]: Simplify 2 into 2 7.438 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.438 * [taylor]: Taking taylor expansion of n in n 7.438 * [backup-simplify]: Simplify 0 into 0 7.438 * [backup-simplify]: Simplify 1 into 1 7.438 * [backup-simplify]: Simplify (/ 1 1) into 1 7.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.439 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.439 * [backup-simplify]: Simplify (- 0) into 0 7.439 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.440 * [backup-simplify]: Simplify (- 0) into 0 7.440 * [backup-simplify]: Simplify (+ 0 0) into 0 7.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.441 * [backup-simplify]: Simplify (+ 0 0) into 0 7.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.443 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.443 * [taylor]: Taking taylor expansion of 2 in n 7.443 * [backup-simplify]: Simplify 2 into 2 7.443 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.443 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.443 * [taylor]: Taking taylor expansion of n in n 7.443 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify 1 into 1 7.444 * [backup-simplify]: Simplify (* 1 1) into 1 7.444 * [backup-simplify]: Simplify (/ 1 1) into 1 7.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.449 * [backup-simplify]: Simplify 0 into 0 7.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.451 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.451 * [backup-simplify]: Simplify (- 0) into 0 7.451 * [backup-simplify]: Simplify 0 into 0 7.451 * [backup-simplify]: Simplify 0 into 0 7.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.453 * [backup-simplify]: Simplify (- 0) into 0 7.453 * [backup-simplify]: Simplify (+ 0 0) into 0 7.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.455 * [backup-simplify]: Simplify (+ 0 0) into 0 7.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 7.457 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.457 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.458 * [taylor]: Taking taylor expansion of 2 in n 7.458 * [backup-simplify]: Simplify 2 into 2 7.458 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.458 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.458 * [taylor]: Taking taylor expansion of n in n 7.458 * [backup-simplify]: Simplify 0 into 0 7.458 * [backup-simplify]: Simplify 1 into 1 7.458 * [backup-simplify]: Simplify (* 1 1) into 1 7.458 * [backup-simplify]: Simplify (* 1 1) into 1 7.459 * [backup-simplify]: Simplify (/ 1 1) into 1 7.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.469 * [backup-simplify]: Simplify (- 0) into 0 7.469 * [backup-simplify]: Simplify 0 into 0 7.469 * [backup-simplify]: Simplify 1 into 1 7.469 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 7.469 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 7.469 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.469 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.469 * [taylor]: Taking taylor expansion of -1 in n 7.470 * [backup-simplify]: Simplify -1 into -1 7.470 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.470 * [taylor]: Taking taylor expansion of (+ n f) in n 7.470 * [taylor]: Taking taylor expansion of n in n 7.470 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify 1 into 1 7.470 * [taylor]: Taking taylor expansion of f in n 7.470 * [backup-simplify]: Simplify f into f 7.470 * [taylor]: Taking taylor expansion of (- f n) in n 7.470 * [taylor]: Taking taylor expansion of f in n 7.470 * [backup-simplify]: Simplify f into f 7.470 * [taylor]: Taking taylor expansion of n in n 7.470 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify 1 into 1 7.470 * [backup-simplify]: Simplify (+ 0 f) into f 7.470 * [backup-simplify]: Simplify (- 0) into 0 7.470 * [backup-simplify]: Simplify (+ f 0) into f 7.470 * [backup-simplify]: Simplify (/ f f) into 1 7.470 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.471 * [taylor]: Taking taylor expansion of -1 in f 7.471 * [backup-simplify]: Simplify -1 into -1 7.471 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.471 * [taylor]: Taking taylor expansion of (+ n f) in f 7.471 * [taylor]: Taking taylor expansion of n in f 7.471 * [backup-simplify]: Simplify n into n 7.471 * [taylor]: Taking taylor expansion of f in f 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [taylor]: Taking taylor expansion of (- f n) in f 7.471 * [taylor]: Taking taylor expansion of f in f 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [taylor]: Taking taylor expansion of n in f 7.471 * [backup-simplify]: Simplify n into n 7.471 * [backup-simplify]: Simplify (+ n 0) into n 7.471 * [backup-simplify]: Simplify (- n) into (- n) 7.471 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.471 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.471 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.471 * [taylor]: Taking taylor expansion of -1 in f 7.471 * [backup-simplify]: Simplify -1 into -1 7.471 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.471 * [taylor]: Taking taylor expansion of (+ n f) in f 7.471 * [taylor]: Taking taylor expansion of n in f 7.471 * [backup-simplify]: Simplify n into n 7.471 * [taylor]: Taking taylor expansion of f in f 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [taylor]: Taking taylor expansion of (- f n) in f 7.471 * [taylor]: Taking taylor expansion of f in f 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [taylor]: Taking taylor expansion of n in f 7.472 * [backup-simplify]: Simplify n into n 7.472 * [backup-simplify]: Simplify (+ n 0) into n 7.472 * [backup-simplify]: Simplify (- n) into (- n) 7.472 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.472 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.472 * [backup-simplify]: Simplify (* -1 -1) into 1 7.472 * [taylor]: Taking taylor expansion of 1 in n 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [backup-simplify]: Simplify 1 into 1 7.473 * [backup-simplify]: Simplify (+ 0 1) into 1 7.473 * [backup-simplify]: Simplify (- 0) into 0 7.474 * [backup-simplify]: Simplify (+ 1 0) into 1 7.474 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.475 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.475 * [taylor]: Taking taylor expansion of 2 in n 7.475 * [backup-simplify]: Simplify 2 into 2 7.475 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.475 * [taylor]: Taking taylor expansion of n in n 7.475 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify 1 into 1 7.475 * [backup-simplify]: Simplify (/ 1 1) into 1 7.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.477 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify (+ 0 0) into 0 7.478 * [backup-simplify]: Simplify (- 0) into 0 7.478 * [backup-simplify]: Simplify (+ 0 0) into 0 7.478 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.479 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.479 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.479 * [taylor]: Taking taylor expansion of 2 in n 7.479 * [backup-simplify]: Simplify 2 into 2 7.479 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.479 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.479 * [taylor]: Taking taylor expansion of n in n 7.479 * [backup-simplify]: Simplify 0 into 0 7.479 * [backup-simplify]: Simplify 1 into 1 7.480 * [backup-simplify]: Simplify (* 1 1) into 1 7.480 * [backup-simplify]: Simplify (/ 1 1) into 1 7.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.485 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.487 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify (+ 0 0) into 0 7.488 * [backup-simplify]: Simplify (- 0) into 0 7.488 * [backup-simplify]: Simplify (+ 0 0) into 0 7.489 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 7.489 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 7.490 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.490 * [taylor]: Taking taylor expansion of 2 in n 7.490 * [backup-simplify]: Simplify 2 into 2 7.490 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.490 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.490 * [taylor]: Taking taylor expansion of n in n 7.490 * [backup-simplify]: Simplify 0 into 0 7.490 * [backup-simplify]: Simplify 1 into 1 7.490 * [backup-simplify]: Simplify (* 1 1) into 1 7.491 * [backup-simplify]: Simplify (* 1 1) into 1 7.491 * [backup-simplify]: Simplify (/ 1 1) into 1 7.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.501 * [backup-simplify]: Simplify 0 into 0 7.501 * [backup-simplify]: Simplify 1 into 1 7.501 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.501 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.501 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.501 * [taylor]: Taking taylor expansion of -1 in n 7.501 * [backup-simplify]: Simplify -1 into -1 7.501 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.501 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.501 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.501 * [taylor]: Taking taylor expansion of f in n 7.501 * [backup-simplify]: Simplify f into f 7.502 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.502 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.502 * [taylor]: Taking taylor expansion of n in n 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify 1 into 1 7.502 * [backup-simplify]: Simplify (/ 1 1) into 1 7.502 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.502 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.502 * [taylor]: Taking taylor expansion of f in n 7.502 * [backup-simplify]: Simplify f into f 7.502 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.502 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.502 * [taylor]: Taking taylor expansion of n in n 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify 1 into 1 7.503 * [backup-simplify]: Simplify (/ 1 1) into 1 7.503 * [backup-simplify]: Simplify (+ 0 1) into 1 7.504 * [backup-simplify]: Simplify (- 1) into -1 7.504 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.505 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.505 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.505 * [taylor]: Taking taylor expansion of -1 in f 7.505 * [backup-simplify]: Simplify -1 into -1 7.505 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.505 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.505 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.505 * [taylor]: Taking taylor expansion of f in f 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [backup-simplify]: Simplify (/ 1 1) into 1 7.505 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.505 * [taylor]: Taking taylor expansion of n in f 7.505 * [backup-simplify]: Simplify n into n 7.505 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.505 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.505 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.505 * [taylor]: Taking taylor expansion of f in f 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.506 * [backup-simplify]: Simplify (/ 1 1) into 1 7.506 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.506 * [taylor]: Taking taylor expansion of n in f 7.506 * [backup-simplify]: Simplify n into n 7.506 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.506 * [backup-simplify]: Simplify (+ 1 0) into 1 7.507 * [backup-simplify]: Simplify (+ 1 0) into 1 7.507 * [backup-simplify]: Simplify (/ 1 1) into 1 7.508 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.508 * [taylor]: Taking taylor expansion of -1 in f 7.508 * [backup-simplify]: Simplify -1 into -1 7.508 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.508 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.508 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.508 * [taylor]: Taking taylor expansion of f in f 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify 1 into 1 7.508 * [backup-simplify]: Simplify (/ 1 1) into 1 7.508 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.508 * [taylor]: Taking taylor expansion of n in f 7.508 * [backup-simplify]: Simplify n into n 7.508 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.508 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.508 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.508 * [taylor]: Taking taylor expansion of f in f 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify 1 into 1 7.509 * [backup-simplify]: Simplify (/ 1 1) into 1 7.509 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.509 * [taylor]: Taking taylor expansion of n in f 7.509 * [backup-simplify]: Simplify n into n 7.509 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.509 * [backup-simplify]: Simplify (+ 1 0) into 1 7.510 * [backup-simplify]: Simplify (+ 1 0) into 1 7.510 * [backup-simplify]: Simplify (/ 1 1) into 1 7.511 * [backup-simplify]: Simplify (* -1 1) into -1 7.511 * [taylor]: Taking taylor expansion of -1 in n 7.511 * [backup-simplify]: Simplify -1 into -1 7.511 * [backup-simplify]: Simplify -1 into -1 7.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.512 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.513 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.513 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.513 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.513 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.514 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.514 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.514 * [taylor]: Taking taylor expansion of 2 in n 7.514 * [backup-simplify]: Simplify 2 into 2 7.514 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.514 * [taylor]: Taking taylor expansion of n in n 7.514 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify 1 into 1 7.514 * [backup-simplify]: Simplify (/ 1 1) into 1 7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.516 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.516 * [backup-simplify]: Simplify (- 0) into 0 7.516 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.518 * [backup-simplify]: Simplify (+ 0 0) into 0 7.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.519 * [backup-simplify]: Simplify (- 0) into 0 7.520 * [backup-simplify]: Simplify (+ 0 0) into 0 7.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.521 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.521 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.521 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.521 * [taylor]: Taking taylor expansion of 2 in n 7.521 * [backup-simplify]: Simplify 2 into 2 7.521 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.522 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.522 * [taylor]: Taking taylor expansion of n in n 7.522 * [backup-simplify]: Simplify 0 into 0 7.522 * [backup-simplify]: Simplify 1 into 1 7.522 * [backup-simplify]: Simplify (* 1 1) into 1 7.523 * [backup-simplify]: Simplify (/ 1 1) into 1 7.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.527 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.527 * [backup-simplify]: Simplify (- 0) into 0 7.527 * [backup-simplify]: Simplify 0 into 0 7.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.531 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.532 * [backup-simplify]: Simplify (- 0) into 0 7.532 * [backup-simplify]: Simplify 0 into 0 7.532 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.533 * [backup-simplify]: Simplify (+ 0 0) into 0 7.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.535 * [backup-simplify]: Simplify (- 0) into 0 7.535 * [backup-simplify]: Simplify (+ 0 0) into 0 7.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.538 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.538 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.538 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.538 * [taylor]: Taking taylor expansion of 2 in n 7.538 * [backup-simplify]: Simplify 2 into 2 7.538 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.538 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.538 * [taylor]: Taking taylor expansion of n in n 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 1 into 1 7.538 * [backup-simplify]: Simplify (* 1 1) into 1 7.539 * [backup-simplify]: Simplify (* 1 1) into 1 7.539 * [backup-simplify]: Simplify (/ 1 1) into 1 7.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.548 * [backup-simplify]: Simplify (- 0) into 0 7.548 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify -1 into -1 7.548 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.548 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.548 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.548 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.548 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.548 * [taylor]: Taking taylor expansion of f in n 7.548 * [backup-simplify]: Simplify f into f 7.548 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.548 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.548 * [taylor]: Taking taylor expansion of n in n 7.548 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify 1 into 1 7.549 * [backup-simplify]: Simplify (/ 1 1) into 1 7.549 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.549 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.549 * [taylor]: Taking taylor expansion of n in n 7.549 * [backup-simplify]: Simplify 0 into 0 7.549 * [backup-simplify]: Simplify 1 into 1 7.549 * [backup-simplify]: Simplify (/ 1 1) into 1 7.549 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.549 * [taylor]: Taking taylor expansion of f in n 7.549 * [backup-simplify]: Simplify f into f 7.549 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.549 * [backup-simplify]: Simplify (+ 0 1) into 1 7.550 * [backup-simplify]: Simplify (+ 1 0) into 1 7.550 * [backup-simplify]: Simplify (/ 1 1) into 1 7.550 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.550 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.550 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.550 * [taylor]: Taking taylor expansion of f in f 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify 1 into 1 7.550 * [backup-simplify]: Simplify (/ 1 1) into 1 7.550 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.550 * [taylor]: Taking taylor expansion of n in f 7.550 * [backup-simplify]: Simplify n into n 7.550 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.550 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.551 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.551 * [taylor]: Taking taylor expansion of n in f 7.551 * [backup-simplify]: Simplify n into n 7.551 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.551 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.551 * [taylor]: Taking taylor expansion of f in f 7.551 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify 1 into 1 7.551 * [backup-simplify]: Simplify (/ 1 1) into 1 7.551 * [backup-simplify]: Simplify (+ 1 0) into 1 7.551 * [backup-simplify]: Simplify (- 1) into -1 7.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.552 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.552 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.552 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.552 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.552 * [taylor]: Taking taylor expansion of f in f 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (/ 1 1) into 1 7.552 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.552 * [taylor]: Taking taylor expansion of n in f 7.552 * [backup-simplify]: Simplify n into n 7.553 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.553 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.553 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.553 * [taylor]: Taking taylor expansion of n in f 7.553 * [backup-simplify]: Simplify n into n 7.553 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.553 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.553 * [taylor]: Taking taylor expansion of f in f 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (/ 1 1) into 1 7.553 * [backup-simplify]: Simplify (+ 1 0) into 1 7.553 * [backup-simplify]: Simplify (- 1) into -1 7.554 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.554 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.554 * [taylor]: Taking taylor expansion of -1 in n 7.554 * [backup-simplify]: Simplify -1 into -1 7.554 * [backup-simplify]: Simplify -1 into -1 7.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.555 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.555 * [backup-simplify]: Simplify (- 0) into 0 7.555 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.556 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.556 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.556 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.556 * [taylor]: Taking taylor expansion of 2 in n 7.556 * [backup-simplify]: Simplify 2 into 2 7.556 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.556 * [taylor]: Taking taylor expansion of n in n 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 1 into 1 7.556 * [backup-simplify]: Simplify (/ 1 1) into 1 7.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.557 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.557 * [backup-simplify]: Simplify (- 0) into 0 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.558 * [backup-simplify]: Simplify (+ 0 0) into 0 7.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.559 * [backup-simplify]: Simplify (- 0) into 0 7.559 * [backup-simplify]: Simplify (+ 0 0) into 0 7.560 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.560 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.560 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.560 * [taylor]: Taking taylor expansion of 2 in n 7.560 * [backup-simplify]: Simplify 2 into 2 7.560 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.560 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.560 * [taylor]: Taking taylor expansion of n in n 7.560 * [backup-simplify]: Simplify 0 into 0 7.560 * [backup-simplify]: Simplify 1 into 1 7.560 * [backup-simplify]: Simplify (* 1 1) into 1 7.561 * [backup-simplify]: Simplify (/ 1 1) into 1 7.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.563 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.563 * [backup-simplify]: Simplify (- 0) into 0 7.563 * [backup-simplify]: Simplify 0 into 0 7.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.565 * [backup-simplify]: Simplify (- 0) into 0 7.565 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.566 * [backup-simplify]: Simplify (+ 0 0) into 0 7.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.567 * [backup-simplify]: Simplify (- 0) into 0 7.567 * [backup-simplify]: Simplify (+ 0 0) into 0 7.568 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.568 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.568 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.568 * [taylor]: Taking taylor expansion of 2 in n 7.568 * [backup-simplify]: Simplify 2 into 2 7.568 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.568 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.568 * [taylor]: Taking taylor expansion of n in n 7.568 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify 1 into 1 7.568 * [backup-simplify]: Simplify (* 1 1) into 1 7.569 * [backup-simplify]: Simplify (* 1 1) into 1 7.569 * [backup-simplify]: Simplify (/ 1 1) into 1 7.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.576 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.576 * [backup-simplify]: Simplify (- 0) into 0 7.576 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify -1 into -1 7.576 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.577 * [backup-simplify]: Simplify (exp (/ -1 (/ (- f n) (+ f n)))) into (exp (* -1 (/ (+ n f) (- f n)))) 7.577 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 7.577 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 7.577 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.577 * [taylor]: Taking taylor expansion of -1 in n 7.577 * [backup-simplify]: Simplify -1 into -1 7.577 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.577 * [taylor]: Taking taylor expansion of (+ n f) in n 7.577 * [taylor]: Taking taylor expansion of n in n 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 1 into 1 7.577 * [taylor]: Taking taylor expansion of f in n 7.577 * [backup-simplify]: Simplify f into f 7.577 * [taylor]: Taking taylor expansion of (- f n) in n 7.577 * [taylor]: Taking taylor expansion of f in n 7.577 * [backup-simplify]: Simplify f into f 7.577 * [taylor]: Taking taylor expansion of n in n 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 1 into 1 7.577 * [backup-simplify]: Simplify (+ 0 f) into f 7.578 * [backup-simplify]: Simplify (- 0) into 0 7.578 * [backup-simplify]: Simplify (+ f 0) into f 7.578 * [backup-simplify]: Simplify (/ f f) into 1 7.578 * [backup-simplify]: Simplify (* -1 1) into -1 7.579 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.579 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 7.579 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.579 * [taylor]: Taking taylor expansion of -1 in f 7.579 * [backup-simplify]: Simplify -1 into -1 7.579 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.579 * [taylor]: Taking taylor expansion of (+ n f) in f 7.579 * [taylor]: Taking taylor expansion of n in f 7.579 * [backup-simplify]: Simplify n into n 7.579 * [taylor]: Taking taylor expansion of f in f 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 1 into 1 7.579 * [taylor]: Taking taylor expansion of (- f n) in f 7.579 * [taylor]: Taking taylor expansion of f in f 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 1 into 1 7.579 * [taylor]: Taking taylor expansion of n in f 7.579 * [backup-simplify]: Simplify n into n 7.579 * [backup-simplify]: Simplify (+ n 0) into n 7.579 * [backup-simplify]: Simplify (- n) into (- n) 7.579 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.579 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.580 * [backup-simplify]: Simplify (* -1 -1) into 1 7.580 * [backup-simplify]: Simplify (exp 1) into E 7.580 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 7.580 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.580 * [taylor]: Taking taylor expansion of -1 in f 7.580 * [backup-simplify]: Simplify -1 into -1 7.580 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.580 * [taylor]: Taking taylor expansion of (+ n f) in f 7.580 * [taylor]: Taking taylor expansion of n in f 7.580 * [backup-simplify]: Simplify n into n 7.580 * [taylor]: Taking taylor expansion of f in f 7.580 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify 1 into 1 7.580 * [taylor]: Taking taylor expansion of (- f n) in f 7.580 * [taylor]: Taking taylor expansion of f in f 7.580 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify 1 into 1 7.580 * [taylor]: Taking taylor expansion of n in f 7.580 * [backup-simplify]: Simplify n into n 7.580 * [backup-simplify]: Simplify (+ n 0) into n 7.580 * [backup-simplify]: Simplify (- n) into (- n) 7.580 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.580 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.581 * [backup-simplify]: Simplify (* -1 -1) into 1 7.581 * [backup-simplify]: Simplify (exp 1) into E 7.581 * [taylor]: Taking taylor expansion of E in n 7.581 * [backup-simplify]: Simplify E into E 7.581 * [backup-simplify]: Simplify E into E 7.581 * [backup-simplify]: Simplify (+ 0 1) into 1 7.582 * [backup-simplify]: Simplify (- 0) into 0 7.582 * [backup-simplify]: Simplify (+ 1 0) into 1 7.582 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.583 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.583 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 7.583 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 7.583 * [taylor]: Taking taylor expansion of 2 in n 7.583 * [backup-simplify]: Simplify 2 into 2 7.583 * [taylor]: Taking taylor expansion of (/ E n) in n 7.583 * [taylor]: Taking taylor expansion of E in n 7.583 * [backup-simplify]: Simplify E into E 7.583 * [taylor]: Taking taylor expansion of n in n 7.583 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 1 into 1 7.584 * [backup-simplify]: Simplify (/ E 1) into E 7.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.586 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 7.586 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify (+ 0 0) into 0 7.587 * [backup-simplify]: Simplify (- 0) into 0 7.587 * [backup-simplify]: Simplify (+ 0 0) into 0 7.588 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.588 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.589 * [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))) 7.589 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 7.589 * [taylor]: Taking taylor expansion of 4 in n 7.589 * [backup-simplify]: Simplify 4 into 4 7.589 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 7.589 * [taylor]: Taking taylor expansion of E in n 7.589 * [backup-simplify]: Simplify E into E 7.589 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.589 * [taylor]: Taking taylor expansion of n in n 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 1 into 1 7.590 * [backup-simplify]: Simplify (* 1 1) into 1 7.590 * [backup-simplify]: Simplify (/ E 1) into E 7.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.595 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.597 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 7.597 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify (+ 0 0) into 0 7.598 * [backup-simplify]: Simplify (- 0) into 0 7.598 * [backup-simplify]: Simplify (+ 0 0) into 0 7.599 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 7.600 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 7.601 * [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))) 7.601 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 7.601 * [taylor]: Taking taylor expansion of 22/3 in n 7.601 * [backup-simplify]: Simplify 22/3 into 22/3 7.601 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 7.601 * [taylor]: Taking taylor expansion of E in n 7.601 * [backup-simplify]: Simplify E into E 7.601 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.601 * [taylor]: Taking taylor expansion of n in n 7.601 * [backup-simplify]: Simplify 0 into 0 7.601 * [backup-simplify]: Simplify 1 into 1 7.602 * [backup-simplify]: Simplify (* 1 1) into 1 7.602 * [backup-simplify]: Simplify (* 1 1) into 1 7.603 * [backup-simplify]: Simplify (/ E 1) into E 7.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.613 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 7.613 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify E into E 7.613 * [backup-simplify]: Simplify (exp (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 7.613 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 7.613 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.614 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.614 * [taylor]: Taking taylor expansion of -1 in n 7.614 * [backup-simplify]: Simplify -1 into -1 7.614 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.614 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.614 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.614 * [taylor]: Taking taylor expansion of f in n 7.614 * [backup-simplify]: Simplify f into f 7.614 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.614 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.614 * [taylor]: Taking taylor expansion of n in n 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 1 into 1 7.614 * [backup-simplify]: Simplify (/ 1 1) into 1 7.614 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.614 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.614 * [taylor]: Taking taylor expansion of f in n 7.614 * [backup-simplify]: Simplify f into f 7.615 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.615 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.615 * [taylor]: Taking taylor expansion of n in n 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.615 * [backup-simplify]: Simplify (/ 1 1) into 1 7.615 * [backup-simplify]: Simplify (+ 0 1) into 1 7.616 * [backup-simplify]: Simplify (- 1) into -1 7.616 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.617 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.617 * [backup-simplify]: Simplify (* -1 -1) into 1 7.617 * [backup-simplify]: Simplify (exp 1) into E 7.617 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.617 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.617 * [taylor]: Taking taylor expansion of -1 in f 7.617 * [backup-simplify]: Simplify -1 into -1 7.617 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.617 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.617 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.617 * [taylor]: Taking taylor expansion of f in f 7.618 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify 1 into 1 7.618 * [backup-simplify]: Simplify (/ 1 1) into 1 7.618 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.618 * [taylor]: Taking taylor expansion of n in f 7.618 * [backup-simplify]: Simplify n into n 7.618 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.618 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.618 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.618 * [taylor]: Taking taylor expansion of f in f 7.618 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify 1 into 1 7.618 * [backup-simplify]: Simplify (/ 1 1) into 1 7.618 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.618 * [taylor]: Taking taylor expansion of n in f 7.618 * [backup-simplify]: Simplify n into n 7.618 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.619 * [backup-simplify]: Simplify (+ 1 0) into 1 7.619 * [backup-simplify]: Simplify (+ 1 0) into 1 7.619 * [backup-simplify]: Simplify (/ 1 1) into 1 7.620 * [backup-simplify]: Simplify (* -1 1) into -1 7.620 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.620 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.620 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.620 * [taylor]: Taking taylor expansion of -1 in f 7.620 * [backup-simplify]: Simplify -1 into -1 7.620 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.620 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.620 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.620 * [taylor]: Taking taylor expansion of f in f 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.620 * [backup-simplify]: Simplify (/ 1 1) into 1 7.620 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.620 * [taylor]: Taking taylor expansion of n in f 7.620 * [backup-simplify]: Simplify n into n 7.620 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.620 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.620 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.620 * [taylor]: Taking taylor expansion of f in f 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.621 * [backup-simplify]: Simplify (/ 1 1) into 1 7.621 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.621 * [taylor]: Taking taylor expansion of n in f 7.621 * [backup-simplify]: Simplify n into n 7.621 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.621 * [backup-simplify]: Simplify (+ 1 0) into 1 7.621 * [backup-simplify]: Simplify (+ 1 0) into 1 7.622 * [backup-simplify]: Simplify (/ 1 1) into 1 7.622 * [backup-simplify]: Simplify (* -1 1) into -1 7.623 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.623 * [taylor]: Taking taylor expansion of (exp -1) in n 7.623 * [taylor]: Taking taylor expansion of -1 in n 7.623 * [backup-simplify]: Simplify -1 into -1 7.623 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.623 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.624 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.624 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.624 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.625 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.625 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.626 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.626 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 7.626 * [taylor]: Taking taylor expansion of -2 in n 7.626 * [backup-simplify]: Simplify -2 into -2 7.626 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 7.626 * [taylor]: Taking taylor expansion of (exp -1) in n 7.626 * [taylor]: Taking taylor expansion of -1 in n 7.626 * [backup-simplify]: Simplify -1 into -1 7.626 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.626 * [taylor]: Taking taylor expansion of n in n 7.626 * [backup-simplify]: Simplify 0 into 0 7.626 * [backup-simplify]: Simplify 1 into 1 7.627 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.628 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.629 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.630 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.630 * [backup-simplify]: Simplify 0 into 0 7.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.631 * [backup-simplify]: Simplify (+ 0 0) into 0 7.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.632 * [backup-simplify]: Simplify (- 0) into 0 7.633 * [backup-simplify]: Simplify (+ 0 0) into 0 7.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.634 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.634 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.634 * [taylor]: Taking taylor expansion of 0 in n 7.634 * [backup-simplify]: Simplify 0 into 0 7.634 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.637 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 7.637 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.639 * [backup-simplify]: Simplify (+ 0 0) into 0 7.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.640 * [backup-simplify]: Simplify (- 0) into 0 7.640 * [backup-simplify]: Simplify (+ 0 0) into 0 7.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.642 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.642 * [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))) 7.642 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 7.642 * [taylor]: Taking taylor expansion of 2/3 in n 7.642 * [backup-simplify]: Simplify 2/3 into 2/3 7.642 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 7.642 * [taylor]: Taking taylor expansion of (exp -1) in n 7.642 * [taylor]: Taking taylor expansion of -1 in n 7.642 * [backup-simplify]: Simplify -1 into -1 7.643 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.643 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.643 * [taylor]: Taking taylor expansion of n in n 7.643 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify 1 into 1 7.643 * [backup-simplify]: Simplify (* 1 1) into 1 7.643 * [backup-simplify]: Simplify (* 1 1) into 1 7.644 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.645 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.650 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.652 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.654 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.655 * [backup-simplify]: Simplify (exp (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 7.655 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 7.655 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.655 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.655 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.655 * [taylor]: Taking taylor expansion of f in n 7.655 * [backup-simplify]: Simplify f into f 7.655 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.655 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.655 * [taylor]: Taking taylor expansion of n in n 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.655 * [backup-simplify]: Simplify (/ 1 1) into 1 7.655 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.655 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.655 * [taylor]: Taking taylor expansion of n in n 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.656 * [backup-simplify]: Simplify (/ 1 1) into 1 7.656 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.656 * [taylor]: Taking taylor expansion of f in n 7.656 * [backup-simplify]: Simplify f into f 7.656 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.656 * [backup-simplify]: Simplify (+ 0 1) into 1 7.656 * [backup-simplify]: Simplify (+ 1 0) into 1 7.657 * [backup-simplify]: Simplify (/ 1 1) into 1 7.657 * [backup-simplify]: Simplify (exp 1) into E 7.657 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.657 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.657 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.657 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.657 * [taylor]: Taking taylor expansion of f in f 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [backup-simplify]: Simplify (/ 1 1) into 1 7.657 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.657 * [taylor]: Taking taylor expansion of n in f 7.657 * [backup-simplify]: Simplify n into n 7.657 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.657 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.657 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.657 * [taylor]: Taking taylor expansion of n in f 7.657 * [backup-simplify]: Simplify n into n 7.657 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.657 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.657 * [taylor]: Taking taylor expansion of f in f 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [backup-simplify]: Simplify (/ 1 1) into 1 7.658 * [backup-simplify]: Simplify (+ 1 0) into 1 7.658 * [backup-simplify]: Simplify (- 1) into -1 7.658 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.659 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.659 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.659 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.659 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.659 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.659 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.659 * [taylor]: Taking taylor expansion of f in f 7.659 * [backup-simplify]: Simplify 0 into 0 7.659 * [backup-simplify]: Simplify 1 into 1 7.659 * [backup-simplify]: Simplify (/ 1 1) into 1 7.659 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.659 * [taylor]: Taking taylor expansion of n in f 7.659 * [backup-simplify]: Simplify n into n 7.659 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.659 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.659 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.659 * [taylor]: Taking taylor expansion of n in f 7.659 * [backup-simplify]: Simplify n into n 7.659 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.659 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.659 * [taylor]: Taking taylor expansion of f in f 7.659 * [backup-simplify]: Simplify 0 into 0 7.659 * [backup-simplify]: Simplify 1 into 1 7.660 * [backup-simplify]: Simplify (/ 1 1) into 1 7.660 * [backup-simplify]: Simplify (+ 1 0) into 1 7.660 * [backup-simplify]: Simplify (- 1) into -1 7.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.661 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.661 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.661 * [taylor]: Taking taylor expansion of (exp -1) in n 7.661 * [taylor]: Taking taylor expansion of -1 in n 7.661 * [backup-simplify]: Simplify -1 into -1 7.661 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.662 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.662 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.663 * [backup-simplify]: Simplify (- 0) into 0 7.663 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.663 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.663 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.663 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 7.663 * [taylor]: Taking taylor expansion of -2 in n 7.663 * [backup-simplify]: Simplify -2 into -2 7.663 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 7.663 * [taylor]: Taking taylor expansion of (exp -1) in n 7.664 * [taylor]: Taking taylor expansion of -1 in n 7.664 * [backup-simplify]: Simplify -1 into -1 7.664 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.664 * [taylor]: Taking taylor expansion of n in n 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 1 into 1 7.664 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.665 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.666 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 7.666 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.667 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.668 * [backup-simplify]: Simplify (+ 0 0) into 0 7.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.669 * [backup-simplify]: Simplify (- 0) into 0 7.669 * [backup-simplify]: Simplify (+ 0 0) into 0 7.670 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.670 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.670 * [taylor]: Taking taylor expansion of 0 in n 7.670 * [backup-simplify]: Simplify 0 into 0 7.670 * [backup-simplify]: Simplify 0 into 0 7.671 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.672 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 7.673 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.674 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.675 * [backup-simplify]: Simplify (+ 0 0) into 0 7.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.677 * [backup-simplify]: Simplify (- 0) into 0 7.677 * [backup-simplify]: Simplify (+ 0 0) into 0 7.679 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.681 * [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))) 7.681 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 7.681 * [taylor]: Taking taylor expansion of 2/3 in n 7.681 * [backup-simplify]: Simplify 2/3 into 2/3 7.681 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 7.681 * [taylor]: Taking taylor expansion of (exp -1) in n 7.681 * [taylor]: Taking taylor expansion of -1 in n 7.681 * [backup-simplify]: Simplify -1 into -1 7.681 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.681 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.681 * [taylor]: Taking taylor expansion of n in n 7.681 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.682 * [backup-simplify]: Simplify (* 1 1) into 1 7.683 * [backup-simplify]: Simplify (* 1 1) into 1 7.684 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.686 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.691 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.695 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.699 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.700 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.700 * [backup-simplify]: Simplify (log (exp (/ -1 (/ (- f n) (+ f n))))) into (* -1 (/ (+ n f) (- f n))) 7.700 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.700 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.700 * [taylor]: Taking taylor expansion of -1 in n 7.700 * [backup-simplify]: Simplify -1 into -1 7.700 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.700 * [taylor]: Taking taylor expansion of (+ n f) in n 7.700 * [taylor]: Taking taylor expansion of n in n 7.700 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify 1 into 1 7.701 * [taylor]: Taking taylor expansion of f in n 7.701 * [backup-simplify]: Simplify f into f 7.701 * [taylor]: Taking taylor expansion of (- f n) in n 7.701 * [taylor]: Taking taylor expansion of f in n 7.701 * [backup-simplify]: Simplify f into f 7.701 * [taylor]: Taking taylor expansion of n in n 7.701 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify 1 into 1 7.701 * [backup-simplify]: Simplify (+ 0 f) into f 7.701 * [backup-simplify]: Simplify (- 0) into 0 7.701 * [backup-simplify]: Simplify (+ f 0) into f 7.701 * [backup-simplify]: Simplify (/ f f) into 1 7.701 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.701 * [taylor]: Taking taylor expansion of -1 in f 7.701 * [backup-simplify]: Simplify -1 into -1 7.701 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.701 * [taylor]: Taking taylor expansion of (+ n f) in f 7.702 * [taylor]: Taking taylor expansion of n in f 7.702 * [backup-simplify]: Simplify n into n 7.702 * [taylor]: Taking taylor expansion of f in f 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 1 into 1 7.702 * [taylor]: Taking taylor expansion of (- f n) in f 7.702 * [taylor]: Taking taylor expansion of f in f 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 1 into 1 7.702 * [taylor]: Taking taylor expansion of n in f 7.702 * [backup-simplify]: Simplify n into n 7.702 * [backup-simplify]: Simplify (+ n 0) into n 7.702 * [backup-simplify]: Simplify (- n) into (- n) 7.702 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.702 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.702 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.702 * [taylor]: Taking taylor expansion of -1 in f 7.702 * [backup-simplify]: Simplify -1 into -1 7.702 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.702 * [taylor]: Taking taylor expansion of (+ n f) in f 7.702 * [taylor]: Taking taylor expansion of n in f 7.702 * [backup-simplify]: Simplify n into n 7.702 * [taylor]: Taking taylor expansion of f in f 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 1 into 1 7.702 * [taylor]: Taking taylor expansion of (- f n) in f 7.702 * [taylor]: Taking taylor expansion of f in f 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 1 into 1 7.702 * [taylor]: Taking taylor expansion of n in f 7.702 * [backup-simplify]: Simplify n into n 7.703 * [backup-simplify]: Simplify (+ n 0) into n 7.703 * [backup-simplify]: Simplify (- n) into (- n) 7.703 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.703 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.703 * [backup-simplify]: Simplify (* -1 -1) into 1 7.703 * [taylor]: Taking taylor expansion of 1 in n 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [backup-simplify]: Simplify 1 into 1 7.704 * [backup-simplify]: Simplify (+ 0 1) into 1 7.704 * [backup-simplify]: Simplify (- 0) into 0 7.705 * [backup-simplify]: Simplify (+ 1 0) into 1 7.705 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.705 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.705 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.705 * [taylor]: Taking taylor expansion of 2 in n 7.705 * [backup-simplify]: Simplify 2 into 2 7.705 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.706 * [taylor]: Taking taylor expansion of n in n 7.706 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify 1 into 1 7.706 * [backup-simplify]: Simplify (/ 1 1) into 1 7.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.708 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify (+ 0 0) into 0 7.708 * [backup-simplify]: Simplify (- 0) into 0 7.709 * [backup-simplify]: Simplify (+ 0 0) into 0 7.709 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.710 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.710 * [taylor]: Taking taylor expansion of 2 in n 7.710 * [backup-simplify]: Simplify 2 into 2 7.710 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.710 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.710 * [taylor]: Taking taylor expansion of n in n 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify 1 into 1 7.711 * [backup-simplify]: Simplify (* 1 1) into 1 7.711 * [backup-simplify]: Simplify (/ 1 1) into 1 7.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.715 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify (+ 0 0) into 0 7.718 * [backup-simplify]: Simplify (- 0) into 0 7.719 * [backup-simplify]: Simplify (+ 0 0) into 0 7.719 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 7.720 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 7.720 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.720 * [taylor]: Taking taylor expansion of 2 in n 7.720 * [backup-simplify]: Simplify 2 into 2 7.720 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.721 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.721 * [taylor]: Taking taylor expansion of n in n 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (* 1 1) into 1 7.721 * [backup-simplify]: Simplify (* 1 1) into 1 7.722 * [backup-simplify]: Simplify (/ 1 1) into 1 7.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.732 * [backup-simplify]: Simplify 0 into 0 7.732 * [backup-simplify]: Simplify 1 into 1 7.732 * [backup-simplify]: Simplify (log (exp (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.732 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.732 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.732 * [taylor]: Taking taylor expansion of -1 in n 7.732 * [backup-simplify]: Simplify -1 into -1 7.732 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.732 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.732 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.732 * [taylor]: Taking taylor expansion of f in n 7.732 * [backup-simplify]: Simplify f into f 7.732 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.733 * [taylor]: Taking taylor expansion of n in n 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 1 into 1 7.733 * [backup-simplify]: Simplify (/ 1 1) into 1 7.733 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.733 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.733 * [taylor]: Taking taylor expansion of f in n 7.733 * [backup-simplify]: Simplify f into f 7.733 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.733 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.733 * [taylor]: Taking taylor expansion of n in n 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 1 into 1 7.734 * [backup-simplify]: Simplify (/ 1 1) into 1 7.734 * [backup-simplify]: Simplify (+ 0 1) into 1 7.735 * [backup-simplify]: Simplify (- 1) into -1 7.735 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.736 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.736 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.736 * [taylor]: Taking taylor expansion of -1 in f 7.736 * [backup-simplify]: Simplify -1 into -1 7.736 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.736 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.736 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.736 * [taylor]: Taking taylor expansion of f in f 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify 1 into 1 7.737 * [backup-simplify]: Simplify (/ 1 1) into 1 7.737 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.737 * [taylor]: Taking taylor expansion of n in f 7.737 * [backup-simplify]: Simplify n into n 7.737 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.737 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.737 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.737 * [taylor]: Taking taylor expansion of f in f 7.737 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify 1 into 1 7.738 * [backup-simplify]: Simplify (/ 1 1) into 1 7.738 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.738 * [taylor]: Taking taylor expansion of n in f 7.738 * [backup-simplify]: Simplify n into n 7.738 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.738 * [backup-simplify]: Simplify (+ 1 0) into 1 7.739 * [backup-simplify]: Simplify (+ 1 0) into 1 7.739 * [backup-simplify]: Simplify (/ 1 1) into 1 7.739 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.739 * [taylor]: Taking taylor expansion of -1 in f 7.739 * [backup-simplify]: Simplify -1 into -1 7.739 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.739 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.739 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.739 * [taylor]: Taking taylor expansion of f in f 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 1 into 1 7.740 * [backup-simplify]: Simplify (/ 1 1) into 1 7.740 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.740 * [taylor]: Taking taylor expansion of n in f 7.740 * [backup-simplify]: Simplify n into n 7.740 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.740 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.740 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.740 * [taylor]: Taking taylor expansion of f in f 7.740 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify 1 into 1 7.741 * [backup-simplify]: Simplify (/ 1 1) into 1 7.741 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.741 * [taylor]: Taking taylor expansion of n in f 7.741 * [backup-simplify]: Simplify n into n 7.741 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.741 * [backup-simplify]: Simplify (+ 1 0) into 1 7.742 * [backup-simplify]: Simplify (+ 1 0) into 1 7.742 * [backup-simplify]: Simplify (/ 1 1) into 1 7.743 * [backup-simplify]: Simplify (* -1 1) into -1 7.743 * [taylor]: Taking taylor expansion of -1 in n 7.743 * [backup-simplify]: Simplify -1 into -1 7.743 * [backup-simplify]: Simplify -1 into -1 7.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.744 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.745 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.745 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.745 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.746 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.746 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.746 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.746 * [taylor]: Taking taylor expansion of 2 in n 7.746 * [backup-simplify]: Simplify 2 into 2 7.746 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.746 * [taylor]: Taking taylor expansion of n in n 7.746 * [backup-simplify]: Simplify 0 into 0 7.746 * [backup-simplify]: Simplify 1 into 1 7.746 * [backup-simplify]: Simplify (/ 1 1) into 1 7.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.748 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.748 * [backup-simplify]: Simplify (- 0) into 0 7.748 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.750 * [backup-simplify]: Simplify (+ 0 0) into 0 7.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.752 * [backup-simplify]: Simplify (- 0) into 0 7.752 * [backup-simplify]: Simplify (+ 0 0) into 0 7.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.755 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.755 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.755 * [taylor]: Taking taylor expansion of 2 in n 7.755 * [backup-simplify]: Simplify 2 into 2 7.755 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.755 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.755 * [taylor]: Taking taylor expansion of n in n 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify 1 into 1 7.756 * [backup-simplify]: Simplify (* 1 1) into 1 7.756 * [backup-simplify]: Simplify (/ 1 1) into 1 7.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.761 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.762 * [backup-simplify]: Simplify (- 0) into 0 7.762 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.764 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.764 * [backup-simplify]: Simplify (- 0) into 0 7.764 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.766 * [backup-simplify]: Simplify (+ 0 0) into 0 7.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.767 * [backup-simplify]: Simplify (- 0) into 0 7.768 * [backup-simplify]: Simplify (+ 0 0) into 0 7.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.770 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.770 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.770 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.770 * [taylor]: Taking taylor expansion of 2 in n 7.770 * [backup-simplify]: Simplify 2 into 2 7.771 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.771 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.771 * [taylor]: Taking taylor expansion of n in n 7.771 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify 1 into 1 7.771 * [backup-simplify]: Simplify (* 1 1) into 1 7.771 * [backup-simplify]: Simplify (* 1 1) into 1 7.772 * [backup-simplify]: Simplify (/ 1 1) into 1 7.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.782 * [backup-simplify]: Simplify (- 0) into 0 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify -1 into -1 7.782 * [backup-simplify]: Simplify (log (exp (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.783 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.783 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.783 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.783 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.783 * [taylor]: Taking taylor expansion of f in n 7.783 * [backup-simplify]: Simplify f into f 7.783 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.783 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.783 * [taylor]: Taking taylor expansion of n in n 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify (/ 1 1) into 1 7.787 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.787 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.787 * [taylor]: Taking taylor expansion of n in n 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify 1 into 1 7.788 * [backup-simplify]: Simplify (/ 1 1) into 1 7.788 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.788 * [taylor]: Taking taylor expansion of f in n 7.788 * [backup-simplify]: Simplify f into f 7.788 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.788 * [backup-simplify]: Simplify (+ 0 1) into 1 7.789 * [backup-simplify]: Simplify (+ 1 0) into 1 7.789 * [backup-simplify]: Simplify (/ 1 1) into 1 7.789 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.789 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.789 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.789 * [taylor]: Taking taylor expansion of f in f 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify 1 into 1 7.790 * [backup-simplify]: Simplify (/ 1 1) into 1 7.790 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.790 * [taylor]: Taking taylor expansion of n in f 7.790 * [backup-simplify]: Simplify n into n 7.790 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.790 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.790 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.790 * [taylor]: Taking taylor expansion of n in f 7.790 * [backup-simplify]: Simplify n into n 7.790 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.790 * [taylor]: Taking taylor expansion of f in f 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.791 * [backup-simplify]: Simplify (/ 1 1) into 1 7.791 * [backup-simplify]: Simplify (+ 1 0) into 1 7.792 * [backup-simplify]: Simplify (- 1) into -1 7.792 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.792 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.792 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.793 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.793 * [taylor]: Taking taylor expansion of f in f 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [backup-simplify]: Simplify (/ 1 1) into 1 7.793 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.793 * [taylor]: Taking taylor expansion of n in f 7.793 * [backup-simplify]: Simplify n into n 7.793 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.793 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.793 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.793 * [taylor]: Taking taylor expansion of n in f 7.793 * [backup-simplify]: Simplify n into n 7.793 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.793 * [taylor]: Taking taylor expansion of f in f 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.794 * [backup-simplify]: Simplify (/ 1 1) into 1 7.794 * [backup-simplify]: Simplify (+ 1 0) into 1 7.795 * [backup-simplify]: Simplify (- 1) into -1 7.795 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.796 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.796 * [taylor]: Taking taylor expansion of -1 in n 7.796 * [backup-simplify]: Simplify -1 into -1 7.796 * [backup-simplify]: Simplify -1 into -1 7.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.797 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.798 * [backup-simplify]: Simplify (- 0) into 0 7.798 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.798 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.798 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.798 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.798 * [taylor]: Taking taylor expansion of 2 in n 7.798 * [backup-simplify]: Simplify 2 into 2 7.798 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.798 * [taylor]: Taking taylor expansion of n in n 7.798 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (/ 1 1) into 1 7.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.800 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.801 * [backup-simplify]: Simplify (- 0) into 0 7.801 * [backup-simplify]: Simplify 0 into 0 7.801 * [backup-simplify]: Simplify 0 into 0 7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.802 * [backup-simplify]: Simplify (+ 0 0) into 0 7.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.804 * [backup-simplify]: Simplify (- 0) into 0 7.804 * [backup-simplify]: Simplify (+ 0 0) into 0 7.805 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.805 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.805 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.805 * [taylor]: Taking taylor expansion of 2 in n 7.806 * [backup-simplify]: Simplify 2 into 2 7.806 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.806 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.806 * [taylor]: Taking taylor expansion of n in n 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 1 into 1 7.806 * [backup-simplify]: Simplify (* 1 1) into 1 7.806 * [backup-simplify]: Simplify (/ 1 1) into 1 7.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.809 * [backup-simplify]: Simplify (- 0) into 0 7.809 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.810 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.811 * [backup-simplify]: Simplify (- 0) into 0 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.812 * [backup-simplify]: Simplify (+ 0 0) into 0 7.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.813 * [backup-simplify]: Simplify (- 0) into 0 7.813 * [backup-simplify]: Simplify (+ 0 0) into 0 7.814 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.814 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.814 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.814 * [taylor]: Taking taylor expansion of 2 in n 7.814 * [backup-simplify]: Simplify 2 into 2 7.814 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.814 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.814 * [taylor]: Taking taylor expansion of n in n 7.814 * [backup-simplify]: Simplify 0 into 0 7.814 * [backup-simplify]: Simplify 1 into 1 7.815 * [backup-simplify]: Simplify (* 1 1) into 1 7.815 * [backup-simplify]: Simplify (* 1 1) into 1 7.815 * [backup-simplify]: Simplify (/ 1 1) into 1 7.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.821 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.821 * [backup-simplify]: Simplify (- 0) into 0 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify -1 into -1 7.821 * * * [progress]: simplifying candidates 7.821 * * * * [progress]: [ 1 / 370 ] simplifiying candidate # 7.821 * * * * [progress]: [ 2 / 370 ] simplifiying candidate # 7.821 * * * * [progress]: [ 3 / 370 ] simplifiying candidate # 7.821 * * * * [progress]: [ 4 / 370 ] simplifiying candidate # 7.821 * * * * [progress]: [ 5 / 370 ] simplifiying candidate # 7.821 * * * * [progress]: [ 6 / 370 ] simplifiying candidate # 7.821 * * * * [progress]: [ 7 / 370 ] simplifiying candidate # 7.821 * * * * [progress]: [ 8 / 370 ] simplifiying candidate # 7.821 * * * * [progress]: [ 9 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 10 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 11 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 12 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 13 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 14 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 15 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 16 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 17 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 18 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 19 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 20 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 21 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 22 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 23 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 24 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 25 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 26 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 27 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 28 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 29 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 30 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 31 / 370 ] simplifiying candidate # 7.822 * * * * [progress]: [ 32 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 33 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 34 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 35 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 36 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 37 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 38 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 39 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 40 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 41 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 42 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 43 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 44 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 45 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 46 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 47 / 370 ] simplifiying candidate #real (real->posit16 (/ (- f n) (+ f n))))))))> 7.823 * * * * [progress]: [ 48 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 49 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 50 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 51 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 52 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 53 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 54 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 55 / 370 ] simplifiying candidate # 7.823 * * * * [progress]: [ 56 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 57 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 58 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 59 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 60 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 61 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 62 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 63 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 64 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 65 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 66 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 67 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 68 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 69 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 70 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 71 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 72 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 73 / 370 ] simplifiying candidate # 7.824 * * * * [progress]: [ 74 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 75 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 76 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 77 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 78 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 79 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 80 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 81 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 82 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 83 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 84 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 85 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 86 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 87 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 88 / 370 ] simplifiying candidate # 7.825 * * * * [progress]: [ 89 / 370 ] simplifiying candidate # 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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))) (- (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)))) (* (* (/ 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#5: cost 54 inf + 412852 9.464 * * [simplify]: Extracting #6: cost 19 inf + 426123 9.599 * * [simplify]: Extracting #7: cost 8 inf + 427346 9.714 * * [simplify]: Extracting #8: cost 0 inf + 429369 9.793 * [simplify]: Simplified to: (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (- (- f n)) (- (+ f n)) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) (/ (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 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n))))) (cbrt (exp (- (/ (+ n f) (- f n)))))) (cbrt (exp (- (/ (+ n f) (- f n))))) (exp (+ (- (/ (+ n f) (- f n))) (+ (- (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n)))))) (sqrt (exp (- (/ (+ n f) (- f n))))) (sqrt (exp (- (/ (+ n f) (- f n))))) (real->posit16 (exp (- (/ (+ n f) (- f n))))) (log (* (cbrt (exp (- (/ (+ n f) (- f n))))) (cbrt (exp (- (/ (+ n f) (- f n))))))) (log (cbrt (exp (- (/ (+ n f) (- f n)))))) (log (sqrt (exp (- (/ (+ n f) (- f n)))))) (log (sqrt (exp (- (/ (+ n f) (- f n)))))) 0 (- (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n))) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (sqrt (- (/ (+ n f) (- f n)))) (* (/ (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) (cbrt (+ n f))) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt (+ n f))) (cbrt (- f n)))) (* (sqrt (+ n f)) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n))))) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (* (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (cbrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f))))) (/ (* (sqrt (+ n f)) (* (cbrt -1) (cbrt -1))) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (* (* (* (cbrt -1) (cbrt -1)) (cbrt (+ n f))) (cbrt (+ n f))) (* (sqrt (+ n f)) (* (cbrt -1) (cbrt -1))) (* (cbrt -1) (cbrt -1)) (* (cbrt -1) (cbrt -1)) (/ (* (* (* (cbrt -1) (cbrt -1)) (cbrt (+ n f))) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (* (sqrt (+ n f)) (* (cbrt -1) (cbrt -1))) (+ (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (* (* (* (cbrt -1) (cbrt -1)) (cbrt (+ n f))) (cbrt (+ n f))) (* (sqrt (+ n f)) (* (cbrt -1) (cbrt -1))) (* (cbrt -1) (cbrt -1)) (* (cbrt -1) (cbrt -1)) (* (cbrt -1) (cbrt -1)) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (* (* (cbrt -1) (cbrt -1)) (+ (* n (* n n)) (* f (* f f)))) (- f n)) (* (* (+ f n) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (- f n))) (/ (sqrt -1) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- 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) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f))))) (* (sqrt (+ n f)) (/ (sqrt -1) (sqrt (- f n)))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (* (sqrt -1) (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (sqrt -1) (sqrt (+ n f))) (sqrt -1) (sqrt -1) (* (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (sqrt (+ n f)) (/ (sqrt -1) (+ (sqrt f) (sqrt n)))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (* (sqrt -1) (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (sqrt -1) (sqrt (+ n f))) (sqrt -1) (sqrt -1) (sqrt -1) (/ (sqrt -1) (- f n)) (* (/ (sqrt -1) (- f n)) (+ (* n (* n n)) (* f (* f f)))) (* (/ (sqrt -1) (- f n)) (* (+ f n) (- f n))) (* (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ -1 (cbrt (/ (- f n) (+ n f))))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (+ n f)) 1 1 (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (+ n f)) 1 1 1 (/ 1 (- f n)) (/ (+ (* n (* n n)) (* f (* f f))) (- f n)) (/ (* (+ f n) (- f n)) (- f n)) 1 -1 (/ -1 (- f n)) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ 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)))) (real->posit16 (- (/ (+ n f) (- f n)))) -1 1 1 1 -1 -1 E (/ 1 E) (/ 1 E) 1 -1 -1 9.819 * * * [progress]: adding candidates to table 11.224 * * [progress]: iteration 4 / 4 11.224 * * * [progress]: picking best candidate 11.241 * * * * [pick]: Picked # 11.241 * * * [progress]: localizing error 11.288 * * * [progress]: generating rewritten candidates 11.288 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1 1) 11.327 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 11.377 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 11.466 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 11.672 * * * [progress]: generating series expansions 11.672 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1 1) 11.672 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 11.672 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 11.672 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 11.672 * [taylor]: Taking taylor expansion of (- f n) in n 11.672 * [taylor]: Taking taylor expansion of f in n 11.672 * [backup-simplify]: Simplify f into f 11.672 * [taylor]: Taking taylor expansion of n in n 11.672 * [backup-simplify]: Simplify 0 into 0 11.672 * [backup-simplify]: Simplify 1 into 1 11.672 * [taylor]: Taking taylor expansion of (+ n f) in n 11.672 * [taylor]: Taking taylor expansion of n in n 11.672 * [backup-simplify]: Simplify 0 into 0 11.672 * [backup-simplify]: Simplify 1 into 1 11.672 * [taylor]: Taking taylor expansion of f in n 11.672 * [backup-simplify]: Simplify f into f 11.673 * [backup-simplify]: Simplify (- 0) into 0 11.673 * [backup-simplify]: Simplify (+ f 0) into f 11.673 * [backup-simplify]: Simplify (+ 0 f) into f 11.673 * [backup-simplify]: Simplify (/ f f) into 1 11.673 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 11.673 * [taylor]: Taking taylor expansion of (- f n) in f 11.673 * [taylor]: Taking taylor expansion of f in f 11.673 * [backup-simplify]: Simplify 0 into 0 11.673 * [backup-simplify]: Simplify 1 into 1 11.673 * [taylor]: Taking taylor expansion of n in f 11.673 * [backup-simplify]: Simplify n into n 11.673 * [taylor]: Taking taylor expansion of (+ n f) in f 11.673 * [taylor]: Taking taylor expansion of n in f 11.673 * [backup-simplify]: Simplify n into n 11.673 * [taylor]: Taking taylor expansion of f in f 11.673 * [backup-simplify]: Simplify 0 into 0 11.673 * [backup-simplify]: Simplify 1 into 1 11.673 * [backup-simplify]: Simplify (- n) into (- n) 11.673 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.673 * [backup-simplify]: Simplify (+ n 0) into n 11.673 * [backup-simplify]: Simplify (/ (- n) n) into -1 11.673 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 11.673 * [taylor]: Taking taylor expansion of (- f n) in f 11.673 * [taylor]: Taking taylor expansion of f in f 11.673 * [backup-simplify]: Simplify 0 into 0 11.673 * [backup-simplify]: Simplify 1 into 1 11.673 * [taylor]: Taking taylor expansion of n in f 11.673 * [backup-simplify]: Simplify n into n 11.673 * [taylor]: Taking taylor expansion of (+ n f) in f 11.673 * [taylor]: Taking taylor expansion of n in f 11.673 * [backup-simplify]: Simplify n into n 11.673 * [taylor]: Taking taylor expansion of f in f 11.673 * [backup-simplify]: Simplify 0 into 0 11.673 * [backup-simplify]: Simplify 1 into 1 11.673 * [backup-simplify]: Simplify (- n) into (- n) 11.673 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.673 * [backup-simplify]: Simplify (+ n 0) into n 11.673 * [backup-simplify]: Simplify (/ (- n) n) into -1 11.673 * [taylor]: Taking taylor expansion of -1 in n 11.673 * [backup-simplify]: Simplify -1 into -1 11.673 * [backup-simplify]: Simplify -1 into -1 11.674 * [backup-simplify]: Simplify (- 0) into 0 11.674 * [backup-simplify]: Simplify (+ 1 0) into 1 11.674 * [backup-simplify]: Simplify (+ 0 1) into 1 11.674 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 11.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.674 * [taylor]: Taking taylor expansion of 2 in n 11.674 * [backup-simplify]: Simplify 2 into 2 11.674 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.674 * [taylor]: Taking taylor expansion of n in n 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 1 into 1 11.675 * [backup-simplify]: Simplify (/ 1 1) into 1 11.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.676 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify (- 0) into 0 11.676 * [backup-simplify]: Simplify (+ 0 0) into 0 11.676 * [backup-simplify]: Simplify (+ 0 0) into 0 11.677 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 11.677 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.677 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.677 * [taylor]: Taking taylor expansion of 2 in n 11.677 * [backup-simplify]: Simplify 2 into 2 11.677 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.677 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.677 * [taylor]: Taking taylor expansion of n in n 11.677 * [backup-simplify]: Simplify 0 into 0 11.677 * [backup-simplify]: Simplify 1 into 1 11.677 * [backup-simplify]: Simplify (* 1 1) into 1 11.677 * [backup-simplify]: Simplify (/ 1 1) into 1 11.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.681 * [backup-simplify]: Simplify (- 0) into 0 11.681 * [backup-simplify]: Simplify 0 into 0 11.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.683 * [backup-simplify]: Simplify 0 into 0 11.683 * [backup-simplify]: Simplify 0 into 0 11.684 * [backup-simplify]: Simplify (- 0) into 0 11.684 * [backup-simplify]: Simplify (+ 0 0) into 0 11.684 * [backup-simplify]: Simplify (+ 0 0) into 0 11.685 * [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))) 11.685 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.685 * [taylor]: Taking taylor expansion of 2 in n 11.685 * [backup-simplify]: Simplify 2 into 2 11.685 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.685 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.685 * [taylor]: Taking taylor expansion of n in n 11.685 * [backup-simplify]: Simplify 0 into 0 11.685 * [backup-simplify]: Simplify 1 into 1 11.686 * [backup-simplify]: Simplify (* 1 1) into 1 11.686 * [backup-simplify]: Simplify (* 1 1) into 1 11.686 * [backup-simplify]: Simplify (/ 1 1) into 1 11.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.696 * [backup-simplify]: Simplify 0 into 0 11.696 * [backup-simplify]: Simplify -1 into -1 11.696 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 11.696 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 11.696 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 11.696 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.696 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.696 * [taylor]: Taking taylor expansion of f in n 11.696 * [backup-simplify]: Simplify f into f 11.696 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.696 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.696 * [taylor]: Taking taylor expansion of n in n 11.696 * [backup-simplify]: Simplify 0 into 0 11.696 * [backup-simplify]: Simplify 1 into 1 11.697 * [backup-simplify]: Simplify (/ 1 1) into 1 11.697 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.697 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.697 * [taylor]: Taking taylor expansion of f in n 11.697 * [backup-simplify]: Simplify f into f 11.697 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.697 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.697 * [taylor]: Taking taylor expansion of n in n 11.697 * [backup-simplify]: Simplify 0 into 0 11.697 * [backup-simplify]: Simplify 1 into 1 11.697 * [backup-simplify]: Simplify (/ 1 1) into 1 11.698 * [backup-simplify]: Simplify (- 1) into -1 11.698 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.698 * [backup-simplify]: Simplify (+ 0 1) into 1 11.699 * [backup-simplify]: Simplify (/ -1 1) into -1 11.699 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 11.699 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.699 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.699 * [taylor]: Taking taylor expansion of f in f 11.699 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify 1 into 1 11.699 * [backup-simplify]: Simplify (/ 1 1) into 1 11.699 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.699 * [taylor]: Taking taylor expansion of n in f 11.699 * [backup-simplify]: Simplify n into n 11.699 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.700 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.700 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.700 * [taylor]: Taking taylor expansion of f in f 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 1 into 1 11.700 * [backup-simplify]: Simplify (/ 1 1) into 1 11.700 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.700 * [taylor]: Taking taylor expansion of n in f 11.700 * [backup-simplify]: Simplify n into n 11.700 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.701 * [backup-simplify]: Simplify (+ 1 0) into 1 11.701 * [backup-simplify]: Simplify (+ 1 0) into 1 11.701 * [backup-simplify]: Simplify (/ 1 1) into 1 11.701 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 11.701 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.701 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.701 * [taylor]: Taking taylor expansion of f in f 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify 1 into 1 11.702 * [backup-simplify]: Simplify (/ 1 1) into 1 11.702 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.702 * [taylor]: Taking taylor expansion of n in f 11.702 * [backup-simplify]: Simplify n into n 11.702 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.702 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.702 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.702 * [taylor]: Taking taylor expansion of f in f 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 1 into 1 11.702 * [backup-simplify]: Simplify (/ 1 1) into 1 11.702 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.702 * [taylor]: Taking taylor expansion of n in f 11.702 * [backup-simplify]: Simplify n into n 11.702 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.703 * [backup-simplify]: Simplify (+ 1 0) into 1 11.703 * [backup-simplify]: Simplify (+ 1 0) into 1 11.703 * [backup-simplify]: Simplify (/ 1 1) into 1 11.703 * [taylor]: Taking taylor expansion of 1 in n 11.703 * [backup-simplify]: Simplify 1 into 1 11.703 * [backup-simplify]: Simplify 1 into 1 11.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.704 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.704 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.704 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.704 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 11.704 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.704 * [taylor]: Taking taylor expansion of 2 in n 11.704 * [backup-simplify]: Simplify 2 into 2 11.704 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.705 * [taylor]: Taking taylor expansion of n in n 11.705 * [backup-simplify]: Simplify 0 into 0 11.705 * [backup-simplify]: Simplify 1 into 1 11.705 * [backup-simplify]: Simplify (/ 1 1) into 1 11.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.706 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.706 * [backup-simplify]: Simplify (- 0) into 0 11.706 * [backup-simplify]: Simplify 0 into 0 11.706 * [backup-simplify]: Simplify 0 into 0 11.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.707 * [backup-simplify]: Simplify (- 0) into 0 11.707 * [backup-simplify]: Simplify (+ 0 0) into 0 11.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.708 * [backup-simplify]: Simplify (+ 0 0) into 0 11.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 11.709 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.709 * [taylor]: Taking taylor expansion of 2 in n 11.709 * [backup-simplify]: Simplify 2 into 2 11.709 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.709 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.709 * [taylor]: Taking taylor expansion of n in n 11.709 * [backup-simplify]: Simplify 0 into 0 11.709 * [backup-simplify]: Simplify 1 into 1 11.709 * [backup-simplify]: Simplify (* 1 1) into 1 11.710 * [backup-simplify]: Simplify (/ 1 1) into 1 11.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.712 * [backup-simplify]: Simplify 0 into 0 11.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.713 * [backup-simplify]: Simplify (- 0) into 0 11.713 * [backup-simplify]: Simplify 0 into 0 11.713 * [backup-simplify]: Simplify 0 into 0 11.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.714 * [backup-simplify]: Simplify (- 0) into 0 11.715 * [backup-simplify]: Simplify (+ 0 0) into 0 11.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.715 * [backup-simplify]: Simplify (+ 0 0) into 0 11.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 11.717 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.717 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.717 * [taylor]: Taking taylor expansion of 2 in n 11.717 * [backup-simplify]: Simplify 2 into 2 11.717 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.717 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.717 * [taylor]: Taking taylor expansion of n in n 11.717 * [backup-simplify]: Simplify 0 into 0 11.717 * [backup-simplify]: Simplify 1 into 1 11.717 * [backup-simplify]: Simplify (* 1 1) into 1 11.717 * [backup-simplify]: Simplify (* 1 1) into 1 11.717 * [backup-simplify]: Simplify (/ 1 1) into 1 11.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.723 * [backup-simplify]: Simplify (- 0) into 0 11.723 * [backup-simplify]: Simplify 0 into 0 11.723 * [backup-simplify]: Simplify 1 into 1 11.724 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 11.724 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 11.724 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 11.724 * [taylor]: Taking taylor expansion of -1 in n 11.724 * [backup-simplify]: Simplify -1 into -1 11.724 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 11.724 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.724 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.724 * [taylor]: Taking taylor expansion of n in n 11.724 * [backup-simplify]: Simplify 0 into 0 11.724 * [backup-simplify]: Simplify 1 into 1 11.724 * [backup-simplify]: Simplify (/ 1 1) into 1 11.724 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.724 * [taylor]: Taking taylor expansion of f in n 11.724 * [backup-simplify]: Simplify f into f 11.724 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.724 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.724 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.724 * [taylor]: Taking taylor expansion of f in n 11.724 * [backup-simplify]: Simplify f into f 11.724 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.724 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.724 * [taylor]: Taking taylor expansion of n in n 11.724 * [backup-simplify]: Simplify 0 into 0 11.724 * [backup-simplify]: Simplify 1 into 1 11.725 * [backup-simplify]: Simplify (/ 1 1) into 1 11.725 * [backup-simplify]: Simplify (+ 1 0) into 1 11.725 * [backup-simplify]: Simplify (+ 0 1) into 1 11.731 * [backup-simplify]: Simplify (/ 1 1) into 1 11.731 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 11.731 * [taylor]: Taking taylor expansion of -1 in f 11.731 * [backup-simplify]: Simplify -1 into -1 11.731 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 11.731 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.731 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.732 * [taylor]: Taking taylor expansion of n in f 11.732 * [backup-simplify]: Simplify n into n 11.732 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.732 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.732 * [taylor]: Taking taylor expansion of f in f 11.732 * [backup-simplify]: Simplify 0 into 0 11.732 * [backup-simplify]: Simplify 1 into 1 11.733 * [backup-simplify]: Simplify (/ 1 1) into 1 11.733 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.733 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.733 * [taylor]: Taking taylor expansion of f in f 11.733 * [backup-simplify]: Simplify 0 into 0 11.733 * [backup-simplify]: Simplify 1 into 1 11.733 * [backup-simplify]: Simplify (/ 1 1) into 1 11.733 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.733 * [taylor]: Taking taylor expansion of n in f 11.733 * [backup-simplify]: Simplify n into n 11.733 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.734 * [backup-simplify]: Simplify (- 1) into -1 11.734 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.735 * [backup-simplify]: Simplify (+ 1 0) into 1 11.735 * [backup-simplify]: Simplify (/ -1 1) into -1 11.735 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 11.735 * [taylor]: Taking taylor expansion of -1 in f 11.735 * [backup-simplify]: Simplify -1 into -1 11.735 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 11.735 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.735 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.735 * [taylor]: Taking taylor expansion of n in f 11.735 * [backup-simplify]: Simplify n into n 11.735 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.735 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.735 * [taylor]: Taking taylor expansion of f in f 11.736 * [backup-simplify]: Simplify 0 into 0 11.736 * [backup-simplify]: Simplify 1 into 1 11.736 * [backup-simplify]: Simplify (/ 1 1) into 1 11.736 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.736 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.736 * [taylor]: Taking taylor expansion of f in f 11.736 * [backup-simplify]: Simplify 0 into 0 11.736 * [backup-simplify]: Simplify 1 into 1 11.736 * [backup-simplify]: Simplify (/ 1 1) into 1 11.736 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.736 * [taylor]: Taking taylor expansion of n in f 11.736 * [backup-simplify]: Simplify n into n 11.737 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.737 * [backup-simplify]: Simplify (- 1) into -1 11.737 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.738 * [backup-simplify]: Simplify (+ 1 0) into 1 11.738 * [backup-simplify]: Simplify (/ -1 1) into -1 11.739 * [backup-simplify]: Simplify (* -1 -1) into 1 11.739 * [taylor]: Taking taylor expansion of 1 in n 11.739 * [backup-simplify]: Simplify 1 into 1 11.739 * [backup-simplify]: Simplify 1 into 1 11.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.740 * [backup-simplify]: Simplify (- 0) into 0 11.740 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.741 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.741 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 11.741 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 11.741 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.742 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.742 * [taylor]: Taking taylor expansion of 2 in n 11.742 * [backup-simplify]: Simplify 2 into 2 11.742 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.742 * [taylor]: Taking taylor expansion of n in n 11.742 * [backup-simplify]: Simplify 0 into 0 11.742 * [backup-simplify]: Simplify 1 into 1 11.742 * [backup-simplify]: Simplify (/ 1 1) into 1 11.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.743 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.743 * [backup-simplify]: Simplify (- 0) into 0 11.743 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.744 * [backup-simplify]: Simplify (- 0) into 0 11.744 * [backup-simplify]: Simplify (+ 0 0) into 0 11.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.745 * [backup-simplify]: Simplify (+ 0 0) into 0 11.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 11.746 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 11.746 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.746 * [taylor]: Taking taylor expansion of 2 in n 11.746 * [backup-simplify]: Simplify 2 into 2 11.746 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.746 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.746 * [taylor]: Taking taylor expansion of n in n 11.746 * [backup-simplify]: Simplify 0 into 0 11.746 * [backup-simplify]: Simplify 1 into 1 11.747 * [backup-simplify]: Simplify (* 1 1) into 1 11.747 * [backup-simplify]: Simplify (/ 1 1) into 1 11.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.749 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.749 * [backup-simplify]: Simplify 0 into 0 11.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.751 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.751 * [backup-simplify]: Simplify (- 0) into 0 11.751 * [backup-simplify]: Simplify 0 into 0 11.751 * [backup-simplify]: Simplify 0 into 0 11.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.752 * [backup-simplify]: Simplify (- 0) into 0 11.752 * [backup-simplify]: Simplify (+ 0 0) into 0 11.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.753 * [backup-simplify]: Simplify (+ 0 0) into 0 11.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 11.755 * [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)))) 11.755 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.755 * [taylor]: Taking taylor expansion of 2 in n 11.755 * [backup-simplify]: Simplify 2 into 2 11.755 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.755 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.755 * [taylor]: Taking taylor expansion of n in n 11.755 * [backup-simplify]: Simplify 0 into 0 11.755 * [backup-simplify]: Simplify 1 into 1 11.755 * [backup-simplify]: Simplify (* 1 1) into 1 11.755 * [backup-simplify]: Simplify (* 1 1) into 1 11.756 * [backup-simplify]: Simplify (/ 1 1) into 1 11.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.761 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.761 * [backup-simplify]: Simplify (- 0) into 0 11.761 * [backup-simplify]: Simplify 0 into 0 11.761 * [backup-simplify]: Simplify 1 into 1 11.761 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 11.762 * [backup-simplify]: Simplify (log (exp (/ (- f n) (+ f n)))) into (/ (- f n) (+ n f)) 11.762 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 11.762 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 11.762 * [taylor]: Taking taylor expansion of (- f n) in n 11.762 * [taylor]: Taking taylor expansion of f in n 11.762 * [backup-simplify]: Simplify f into f 11.762 * [taylor]: Taking taylor expansion of n in n 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 1 into 1 11.762 * [taylor]: Taking taylor expansion of (+ n f) in n 11.762 * [taylor]: Taking taylor expansion of n in n 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 1 into 1 11.762 * [taylor]: Taking taylor expansion of f in n 11.762 * [backup-simplify]: Simplify f into f 11.762 * [backup-simplify]: Simplify (- 0) into 0 11.762 * [backup-simplify]: Simplify (+ f 0) into f 11.762 * [backup-simplify]: Simplify (+ 0 f) into f 11.762 * [backup-simplify]: Simplify (/ f f) into 1 11.762 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 11.762 * [taylor]: Taking taylor expansion of (- f n) in f 11.762 * [taylor]: Taking taylor expansion of f in f 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 1 into 1 11.762 * [taylor]: Taking taylor expansion of n in f 11.762 * [backup-simplify]: Simplify n into n 11.762 * [taylor]: Taking taylor expansion of (+ n f) in f 11.762 * [taylor]: Taking taylor expansion of n in f 11.762 * [backup-simplify]: Simplify n into n 11.762 * [taylor]: Taking taylor expansion of f in f 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 1 into 1 11.762 * [backup-simplify]: Simplify (- n) into (- n) 11.762 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.762 * [backup-simplify]: Simplify (+ n 0) into n 11.762 * [backup-simplify]: Simplify (/ (- n) n) into -1 11.763 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 11.763 * [taylor]: Taking taylor expansion of (- f n) in f 11.763 * [taylor]: Taking taylor expansion of f in f 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 1 into 1 11.763 * [taylor]: Taking taylor expansion of n in f 11.763 * [backup-simplify]: Simplify n into n 11.763 * [taylor]: Taking taylor expansion of (+ n f) in f 11.763 * [taylor]: Taking taylor expansion of n in f 11.763 * [backup-simplify]: Simplify n into n 11.763 * [taylor]: Taking taylor expansion of f in f 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 1 into 1 11.763 * [backup-simplify]: Simplify (- n) into (- n) 11.763 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.763 * [backup-simplify]: Simplify (+ n 0) into n 11.763 * [backup-simplify]: Simplify (/ (- n) n) into -1 11.763 * [taylor]: Taking taylor expansion of -1 in n 11.763 * [backup-simplify]: Simplify -1 into -1 11.763 * [backup-simplify]: Simplify -1 into -1 11.763 * [backup-simplify]: Simplify (- 0) into 0 11.763 * [backup-simplify]: Simplify (+ 1 0) into 1 11.764 * [backup-simplify]: Simplify (+ 0 1) into 1 11.764 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 11.764 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.764 * [taylor]: Taking taylor expansion of 2 in n 11.764 * [backup-simplify]: Simplify 2 into 2 11.764 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.764 * [taylor]: Taking taylor expansion of n in n 11.764 * [backup-simplify]: Simplify 0 into 0 11.764 * [backup-simplify]: Simplify 1 into 1 11.764 * [backup-simplify]: Simplify (/ 1 1) into 1 11.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.765 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.765 * [backup-simplify]: Simplify 0 into 0 11.765 * [backup-simplify]: Simplify 0 into 0 11.765 * [backup-simplify]: Simplify (- 0) into 0 11.766 * [backup-simplify]: Simplify (+ 0 0) into 0 11.766 * [backup-simplify]: Simplify (+ 0 0) into 0 11.766 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 11.766 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.766 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.766 * [taylor]: Taking taylor expansion of 2 in n 11.766 * [backup-simplify]: Simplify 2 into 2 11.766 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.766 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.766 * [taylor]: Taking taylor expansion of n in n 11.766 * [backup-simplify]: Simplify 0 into 0 11.766 * [backup-simplify]: Simplify 1 into 1 11.767 * [backup-simplify]: Simplify (* 1 1) into 1 11.767 * [backup-simplify]: Simplify (/ 1 1) into 1 11.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.772 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.772 * [backup-simplify]: Simplify (- 0) into 0 11.772 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.774 * [backup-simplify]: Simplify 0 into 0 11.774 * [backup-simplify]: Simplify 0 into 0 11.774 * [backup-simplify]: Simplify (- 0) into 0 11.775 * [backup-simplify]: Simplify (+ 0 0) into 0 11.775 * [backup-simplify]: Simplify (+ 0 0) into 0 11.776 * [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))) 11.776 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.776 * [taylor]: Taking taylor expansion of 2 in n 11.776 * [backup-simplify]: Simplify 2 into 2 11.776 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.776 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.776 * [taylor]: Taking taylor expansion of n in n 11.776 * [backup-simplify]: Simplify 0 into 0 11.776 * [backup-simplify]: Simplify 1 into 1 11.776 * [backup-simplify]: Simplify (* 1 1) into 1 11.777 * [backup-simplify]: Simplify (* 1 1) into 1 11.777 * [backup-simplify]: Simplify (/ 1 1) into 1 11.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.786 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.786 * [backup-simplify]: Simplify 0 into 0 11.786 * [backup-simplify]: Simplify -1 into -1 11.787 * [backup-simplify]: Simplify (log (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 11.787 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 11.787 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 11.787 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.787 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.787 * [taylor]: Taking taylor expansion of f in n 11.787 * [backup-simplify]: Simplify f into f 11.787 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.787 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.787 * [taylor]: Taking taylor expansion of n in n 11.787 * [backup-simplify]: Simplify 0 into 0 11.787 * [backup-simplify]: Simplify 1 into 1 11.787 * [backup-simplify]: Simplify (/ 1 1) into 1 11.787 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.787 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.787 * [taylor]: Taking taylor expansion of f in n 11.787 * [backup-simplify]: Simplify f into f 11.787 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.787 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.787 * [taylor]: Taking taylor expansion of n in n 11.787 * [backup-simplify]: Simplify 0 into 0 11.787 * [backup-simplify]: Simplify 1 into 1 11.788 * [backup-simplify]: Simplify (/ 1 1) into 1 11.788 * [backup-simplify]: Simplify (- 1) into -1 11.789 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.789 * [backup-simplify]: Simplify (+ 0 1) into 1 11.789 * [backup-simplify]: Simplify (/ -1 1) into -1 11.789 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 11.789 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.790 * [taylor]: Taking taylor expansion of f in f 11.790 * [backup-simplify]: Simplify 0 into 0 11.790 * [backup-simplify]: Simplify 1 into 1 11.790 * [backup-simplify]: Simplify (/ 1 1) into 1 11.790 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.790 * [taylor]: Taking taylor expansion of n in f 11.790 * [backup-simplify]: Simplify n into n 11.790 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.790 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.790 * [taylor]: Taking taylor expansion of f in f 11.790 * [backup-simplify]: Simplify 0 into 0 11.790 * [backup-simplify]: Simplify 1 into 1 11.791 * [backup-simplify]: Simplify (/ 1 1) into 1 11.791 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.791 * [taylor]: Taking taylor expansion of n in f 11.791 * [backup-simplify]: Simplify n into n 11.791 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.792 * [backup-simplify]: Simplify (+ 1 0) into 1 11.792 * [backup-simplify]: Simplify (+ 1 0) into 1 11.792 * [backup-simplify]: Simplify (/ 1 1) into 1 11.792 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 11.792 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.793 * [taylor]: Taking taylor expansion of f in f 11.793 * [backup-simplify]: Simplify 0 into 0 11.793 * [backup-simplify]: Simplify 1 into 1 11.793 * [backup-simplify]: Simplify (/ 1 1) into 1 11.793 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.793 * [taylor]: Taking taylor expansion of n in f 11.793 * [backup-simplify]: Simplify n into n 11.793 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.793 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.793 * [taylor]: Taking taylor expansion of f in f 11.793 * [backup-simplify]: Simplify 0 into 0 11.793 * [backup-simplify]: Simplify 1 into 1 11.794 * [backup-simplify]: Simplify (/ 1 1) into 1 11.794 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.794 * [taylor]: Taking taylor expansion of n in f 11.794 * [backup-simplify]: Simplify n into n 11.794 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.794 * [backup-simplify]: Simplify (+ 1 0) into 1 11.795 * [backup-simplify]: Simplify (+ 1 0) into 1 11.795 * [backup-simplify]: Simplify (/ 1 1) into 1 11.795 * [taylor]: Taking taylor expansion of 1 in n 11.795 * [backup-simplify]: Simplify 1 into 1 11.795 * [backup-simplify]: Simplify 1 into 1 11.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.797 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.797 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.798 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.798 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 11.798 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.798 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.798 * [taylor]: Taking taylor expansion of 2 in n 11.799 * [backup-simplify]: Simplify 2 into 2 11.799 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.799 * [taylor]: Taking taylor expansion of n in n 11.799 * [backup-simplify]: Simplify 0 into 0 11.799 * [backup-simplify]: Simplify 1 into 1 11.799 * [backup-simplify]: Simplify (/ 1 1) into 1 11.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.801 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.801 * [backup-simplify]: Simplify (- 0) into 0 11.801 * [backup-simplify]: Simplify 0 into 0 11.801 * [backup-simplify]: Simplify 0 into 0 11.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.803 * [backup-simplify]: Simplify (- 0) into 0 11.803 * [backup-simplify]: Simplify (+ 0 0) into 0 11.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.805 * [backup-simplify]: Simplify (+ 0 0) into 0 11.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 11.806 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.806 * [taylor]: Taking taylor expansion of 2 in n 11.806 * [backup-simplify]: Simplify 2 into 2 11.806 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.806 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.806 * [taylor]: Taking taylor expansion of n in n 11.806 * [backup-simplify]: Simplify 0 into 0 11.806 * [backup-simplify]: Simplify 1 into 1 11.807 * [backup-simplify]: Simplify (* 1 1) into 1 11.807 * [backup-simplify]: Simplify (/ 1 1) into 1 11.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.812 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.812 * [backup-simplify]: Simplify 0 into 0 11.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.815 * [backup-simplify]: Simplify (- 0) into 0 11.815 * [backup-simplify]: Simplify 0 into 0 11.815 * [backup-simplify]: Simplify 0 into 0 11.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.817 * [backup-simplify]: Simplify (- 0) into 0 11.817 * [backup-simplify]: Simplify (+ 0 0) into 0 11.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.819 * [backup-simplify]: Simplify (+ 0 0) into 0 11.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 11.821 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.821 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.821 * [taylor]: Taking taylor expansion of 2 in n 11.821 * [backup-simplify]: Simplify 2 into 2 11.821 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.821 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.821 * [taylor]: Taking taylor expansion of n in n 11.821 * [backup-simplify]: Simplify 0 into 0 11.821 * [backup-simplify]: Simplify 1 into 1 11.821 * [backup-simplify]: Simplify (* 1 1) into 1 11.822 * [backup-simplify]: Simplify (* 1 1) into 1 11.822 * [backup-simplify]: Simplify (/ 1 1) into 1 11.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.832 * [backup-simplify]: Simplify (- 0) into 0 11.832 * [backup-simplify]: Simplify 0 into 0 11.832 * [backup-simplify]: Simplify 1 into 1 11.832 * [backup-simplify]: Simplify (log (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 11.833 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 11.833 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 11.833 * [taylor]: Taking taylor expansion of -1 in n 11.833 * [backup-simplify]: Simplify -1 into -1 11.833 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 11.833 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.833 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.833 * [taylor]: Taking taylor expansion of n in n 11.833 * [backup-simplify]: Simplify 0 into 0 11.833 * [backup-simplify]: Simplify 1 into 1 11.833 * [backup-simplify]: Simplify (/ 1 1) into 1 11.833 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.833 * [taylor]: Taking taylor expansion of f in n 11.833 * [backup-simplify]: Simplify f into f 11.833 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.833 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.833 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.833 * [taylor]: Taking taylor expansion of f in n 11.833 * [backup-simplify]: Simplify f into f 11.833 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.834 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.834 * [taylor]: Taking taylor expansion of n in n 11.834 * [backup-simplify]: Simplify 0 into 0 11.834 * [backup-simplify]: Simplify 1 into 1 11.834 * [backup-simplify]: Simplify (/ 1 1) into 1 11.834 * [backup-simplify]: Simplify (+ 1 0) into 1 11.835 * [backup-simplify]: Simplify (+ 0 1) into 1 11.835 * [backup-simplify]: Simplify (/ 1 1) into 1 11.835 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 11.835 * [taylor]: Taking taylor expansion of -1 in f 11.835 * [backup-simplify]: Simplify -1 into -1 11.835 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 11.835 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.835 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.835 * [taylor]: Taking taylor expansion of n in f 11.836 * [backup-simplify]: Simplify n into n 11.836 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.836 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.836 * [taylor]: Taking taylor expansion of f in f 11.836 * [backup-simplify]: Simplify 0 into 0 11.836 * [backup-simplify]: Simplify 1 into 1 11.836 * [backup-simplify]: Simplify (/ 1 1) into 1 11.836 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.836 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.836 * [taylor]: Taking taylor expansion of f in f 11.836 * [backup-simplify]: Simplify 0 into 0 11.836 * [backup-simplify]: Simplify 1 into 1 11.837 * [backup-simplify]: Simplify (/ 1 1) into 1 11.837 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.837 * [taylor]: Taking taylor expansion of n in f 11.837 * [backup-simplify]: Simplify n into n 11.837 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.837 * [backup-simplify]: Simplify (- 1) into -1 11.838 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.838 * [backup-simplify]: Simplify (+ 1 0) into 1 11.838 * [backup-simplify]: Simplify (/ -1 1) into -1 11.838 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 11.839 * [taylor]: Taking taylor expansion of -1 in f 11.839 * [backup-simplify]: Simplify -1 into -1 11.839 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 11.839 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.839 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.839 * [taylor]: Taking taylor expansion of n in f 11.839 * [backup-simplify]: Simplify n into n 11.839 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.839 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.839 * [taylor]: Taking taylor expansion of f in f 11.839 * [backup-simplify]: Simplify 0 into 0 11.839 * [backup-simplify]: Simplify 1 into 1 11.839 * [backup-simplify]: Simplify (/ 1 1) into 1 11.839 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.839 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.839 * [taylor]: Taking taylor expansion of f in f 11.839 * [backup-simplify]: Simplify 0 into 0 11.839 * [backup-simplify]: Simplify 1 into 1 11.840 * [backup-simplify]: Simplify (/ 1 1) into 1 11.840 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.840 * [taylor]: Taking taylor expansion of n in f 11.840 * [backup-simplify]: Simplify n into n 11.840 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.840 * [backup-simplify]: Simplify (- 1) into -1 11.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.841 * [backup-simplify]: Simplify (+ 1 0) into 1 11.841 * [backup-simplify]: Simplify (/ -1 1) into -1 11.842 * [backup-simplify]: Simplify (* -1 -1) into 1 11.842 * [taylor]: Taking taylor expansion of 1 in n 11.842 * [backup-simplify]: Simplify 1 into 1 11.842 * [backup-simplify]: Simplify 1 into 1 11.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.843 * [backup-simplify]: Simplify (- 0) into 0 11.843 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.844 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.844 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 11.845 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 11.845 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.845 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.845 * [taylor]: Taking taylor expansion of 2 in n 11.845 * [backup-simplify]: Simplify 2 into 2 11.845 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.845 * [taylor]: Taking taylor expansion of n in n 11.845 * [backup-simplify]: Simplify 0 into 0 11.845 * [backup-simplify]: Simplify 1 into 1 11.846 * [backup-simplify]: Simplify (/ 1 1) into 1 11.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.847 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.848 * [backup-simplify]: Simplify (- 0) into 0 11.848 * [backup-simplify]: Simplify 0 into 0 11.848 * [backup-simplify]: Simplify 0 into 0 11.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.849 * [backup-simplify]: Simplify (- 0) into 0 11.850 * [backup-simplify]: Simplify (+ 0 0) into 0 11.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.851 * [backup-simplify]: Simplify (+ 0 0) into 0 11.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 11.853 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 11.853 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.853 * [taylor]: Taking taylor expansion of 2 in n 11.853 * [backup-simplify]: Simplify 2 into 2 11.853 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.853 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.853 * [taylor]: Taking taylor expansion of n in n 11.854 * [backup-simplify]: Simplify 0 into 0 11.854 * [backup-simplify]: Simplify 1 into 1 11.854 * [backup-simplify]: Simplify (* 1 1) into 1 11.854 * [backup-simplify]: Simplify (/ 1 1) into 1 11.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.860 * [backup-simplify]: Simplify 0 into 0 11.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.862 * [backup-simplify]: Simplify (- 0) into 0 11.862 * [backup-simplify]: Simplify 0 into 0 11.862 * [backup-simplify]: Simplify 0 into 0 11.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.863 * [backup-simplify]: Simplify (- 0) into 0 11.864 * [backup-simplify]: Simplify (+ 0 0) into 0 11.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.871 * [backup-simplify]: Simplify (+ 0 0) into 0 11.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 11.874 * [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)))) 11.874 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.874 * [taylor]: Taking taylor expansion of 2 in n 11.874 * [backup-simplify]: Simplify 2 into 2 11.874 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.874 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.874 * [taylor]: Taking taylor expansion of n in n 11.874 * [backup-simplify]: Simplify 0 into 0 11.874 * [backup-simplify]: Simplify 1 into 1 11.874 * [backup-simplify]: Simplify (* 1 1) into 1 11.875 * [backup-simplify]: Simplify (* 1 1) into 1 11.875 * [backup-simplify]: Simplify (/ 1 1) into 1 11.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.882 * [backup-simplify]: Simplify (- 0) into 0 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [backup-simplify]: Simplify 1 into 1 11.882 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 11.882 * [backup-simplify]: Simplify (/ -1 (log (exp (/ (- f n) (+ f n))))) into (* -1 (/ (+ n f) (- f n))) 11.882 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 11.882 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 11.882 * [taylor]: Taking taylor expansion of -1 in n 11.882 * [backup-simplify]: Simplify -1 into -1 11.882 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 11.882 * [taylor]: Taking taylor expansion of (+ n f) in n 11.882 * [taylor]: Taking taylor expansion of n in n 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [backup-simplify]: Simplify 1 into 1 11.882 * [taylor]: Taking taylor expansion of f in n 11.882 * [backup-simplify]: Simplify f into f 11.882 * [taylor]: Taking taylor expansion of (- f n) in n 11.882 * [taylor]: Taking taylor expansion of f in n 11.882 * [backup-simplify]: Simplify f into f 11.883 * [taylor]: Taking taylor expansion of n in n 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 1 into 1 11.883 * [backup-simplify]: Simplify (+ 0 f) into f 11.883 * [backup-simplify]: Simplify (- 0) into 0 11.883 * [backup-simplify]: Simplify (+ f 0) into f 11.883 * [backup-simplify]: Simplify (/ f f) into 1 11.883 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 11.883 * [taylor]: Taking taylor expansion of -1 in f 11.883 * [backup-simplify]: Simplify -1 into -1 11.883 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 11.883 * [taylor]: Taking taylor expansion of (+ n f) in f 11.883 * [taylor]: Taking taylor expansion of n in f 11.883 * [backup-simplify]: Simplify n into n 11.883 * [taylor]: Taking taylor expansion of f in f 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 1 into 1 11.883 * [taylor]: Taking taylor expansion of (- f n) in f 11.883 * [taylor]: Taking taylor expansion of f in f 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 1 into 1 11.883 * [taylor]: Taking taylor expansion of n in f 11.883 * [backup-simplify]: Simplify n into n 11.883 * [backup-simplify]: Simplify (+ n 0) into n 11.883 * [backup-simplify]: Simplify (- n) into (- n) 11.883 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.883 * [backup-simplify]: Simplify (/ n (- n)) into -1 11.883 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 11.883 * [taylor]: Taking taylor expansion of -1 in f 11.883 * [backup-simplify]: Simplify -1 into -1 11.883 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 11.883 * [taylor]: Taking taylor expansion of (+ n f) in f 11.883 * [taylor]: Taking taylor expansion of n in f 11.883 * [backup-simplify]: Simplify n into n 11.883 * [taylor]: Taking taylor expansion of f in f 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 1 into 1 11.883 * [taylor]: Taking taylor expansion of (- f n) in f 11.883 * [taylor]: Taking taylor expansion of f in f 11.883 * [backup-simplify]: Simplify 0 into 0 11.884 * [backup-simplify]: Simplify 1 into 1 11.884 * [taylor]: Taking taylor expansion of n in f 11.884 * [backup-simplify]: Simplify n into n 11.884 * [backup-simplify]: Simplify (+ n 0) into n 11.884 * [backup-simplify]: Simplify (- n) into (- n) 11.884 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.884 * [backup-simplify]: Simplify (/ n (- n)) into -1 11.884 * [backup-simplify]: Simplify (* -1 -1) into 1 11.884 * [taylor]: Taking taylor expansion of 1 in n 11.884 * [backup-simplify]: Simplify 1 into 1 11.884 * [backup-simplify]: Simplify 1 into 1 11.884 * [backup-simplify]: Simplify (+ 0 1) into 1 11.885 * [backup-simplify]: Simplify (- 0) into 0 11.885 * [backup-simplify]: Simplify (+ 1 0) into 1 11.885 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 11.885 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 11.885 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.885 * [taylor]: Taking taylor expansion of 2 in n 11.885 * [backup-simplify]: Simplify 2 into 2 11.885 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.885 * [taylor]: Taking taylor expansion of n in n 11.885 * [backup-simplify]: Simplify 0 into 0 11.885 * [backup-simplify]: Simplify 1 into 1 11.886 * [backup-simplify]: Simplify (/ 1 1) into 1 11.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.887 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [backup-simplify]: Simplify (+ 0 0) into 0 11.887 * [backup-simplify]: Simplify (- 0) into 0 11.888 * [backup-simplify]: Simplify (+ 0 0) into 0 11.888 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 11.888 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 11.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.888 * [taylor]: Taking taylor expansion of 2 in n 11.888 * [backup-simplify]: Simplify 2 into 2 11.888 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.888 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.888 * [taylor]: Taking taylor expansion of n in n 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [backup-simplify]: Simplify 1 into 1 11.889 * [backup-simplify]: Simplify (* 1 1) into 1 11.889 * [backup-simplify]: Simplify (/ 1 1) into 1 11.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.892 * [backup-simplify]: Simplify 0 into 0 11.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.893 * [backup-simplify]: Simplify 0 into 0 11.894 * [backup-simplify]: Simplify 0 into 0 11.894 * [backup-simplify]: Simplify (+ 0 0) into 0 11.894 * [backup-simplify]: Simplify (- 0) into 0 11.894 * [backup-simplify]: Simplify (+ 0 0) into 0 11.895 * [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)))) 11.895 * [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))) 11.895 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.895 * [taylor]: Taking taylor expansion of 2 in n 11.895 * [backup-simplify]: Simplify 2 into 2 11.895 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.895 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.895 * [taylor]: Taking taylor expansion of n in n 11.895 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify 1 into 1 11.896 * [backup-simplify]: Simplify (* 1 1) into 1 11.896 * [backup-simplify]: Simplify (* 1 1) into 1 11.896 * [backup-simplify]: Simplify (/ 1 1) into 1 11.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.901 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.901 * [backup-simplify]: Simplify 0 into 0 11.901 * [backup-simplify]: Simplify 1 into 1 11.902 * [backup-simplify]: Simplify (/ -1 (log (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 11.902 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 11.902 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 11.902 * [taylor]: Taking taylor expansion of -1 in n 11.902 * [backup-simplify]: Simplify -1 into -1 11.902 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 11.902 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.902 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.902 * [taylor]: Taking taylor expansion of f in n 11.902 * [backup-simplify]: Simplify f into f 11.902 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.902 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.902 * [taylor]: Taking taylor expansion of n in n 11.902 * [backup-simplify]: Simplify 0 into 0 11.902 * [backup-simplify]: Simplify 1 into 1 11.902 * [backup-simplify]: Simplify (/ 1 1) into 1 11.902 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.902 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.902 * [taylor]: Taking taylor expansion of f in n 11.902 * [backup-simplify]: Simplify f into f 11.902 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.902 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.902 * [taylor]: Taking taylor expansion of n in n 11.902 * [backup-simplify]: Simplify 0 into 0 11.902 * [backup-simplify]: Simplify 1 into 1 11.903 * [backup-simplify]: Simplify (/ 1 1) into 1 11.903 * [backup-simplify]: Simplify (+ 0 1) into 1 11.903 * [backup-simplify]: Simplify (- 1) into -1 11.903 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.904 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.904 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 11.904 * [taylor]: Taking taylor expansion of -1 in f 11.904 * [backup-simplify]: Simplify -1 into -1 11.904 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 11.904 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.904 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.904 * [taylor]: Taking taylor expansion of f in f 11.904 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify 1 into 1 11.904 * [backup-simplify]: Simplify (/ 1 1) into 1 11.904 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.904 * [taylor]: Taking taylor expansion of n in f 11.904 * [backup-simplify]: Simplify n into n 11.904 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.904 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.904 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.904 * [taylor]: Taking taylor expansion of f in f 11.904 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify 1 into 1 11.905 * [backup-simplify]: Simplify (/ 1 1) into 1 11.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.905 * [taylor]: Taking taylor expansion of n in f 11.905 * [backup-simplify]: Simplify n into n 11.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.905 * [backup-simplify]: Simplify (+ 1 0) into 1 11.905 * [backup-simplify]: Simplify (+ 1 0) into 1 11.905 * [backup-simplify]: Simplify (/ 1 1) into 1 11.906 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 11.906 * [taylor]: Taking taylor expansion of -1 in f 11.906 * [backup-simplify]: Simplify -1 into -1 11.906 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 11.906 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.906 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.906 * [taylor]: Taking taylor expansion of f in f 11.906 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify 1 into 1 11.906 * [backup-simplify]: Simplify (/ 1 1) into 1 11.906 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.906 * [taylor]: Taking taylor expansion of n in f 11.906 * [backup-simplify]: Simplify n into n 11.906 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.906 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.906 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.906 * [taylor]: Taking taylor expansion of f in f 11.906 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify 1 into 1 11.906 * [backup-simplify]: Simplify (/ 1 1) into 1 11.906 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.906 * [taylor]: Taking taylor expansion of n in f 11.906 * [backup-simplify]: Simplify n into n 11.906 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.907 * [backup-simplify]: Simplify (+ 1 0) into 1 11.907 * [backup-simplify]: Simplify (+ 1 0) into 1 11.907 * [backup-simplify]: Simplify (/ 1 1) into 1 11.908 * [backup-simplify]: Simplify (* -1 1) into -1 11.908 * [taylor]: Taking taylor expansion of -1 in n 11.908 * [backup-simplify]: Simplify -1 into -1 11.908 * [backup-simplify]: Simplify -1 into -1 11.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.908 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.909 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.909 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.909 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 11.909 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 11.910 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.910 * [taylor]: Taking taylor expansion of 2 in n 11.910 * [backup-simplify]: Simplify 2 into 2 11.910 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.910 * [taylor]: Taking taylor expansion of n in n 11.910 * [backup-simplify]: Simplify 0 into 0 11.910 * [backup-simplify]: Simplify 1 into 1 11.910 * [backup-simplify]: Simplify (/ 1 1) into 1 11.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.911 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.911 * [backup-simplify]: Simplify (- 0) into 0 11.911 * [backup-simplify]: Simplify 0 into 0 11.911 * [backup-simplify]: Simplify 0 into 0 11.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.912 * [backup-simplify]: Simplify (+ 0 0) into 0 11.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.913 * [backup-simplify]: Simplify (- 0) into 0 11.913 * [backup-simplify]: Simplify (+ 0 0) into 0 11.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 11.914 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 11.914 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.914 * [taylor]: Taking taylor expansion of 2 in n 11.914 * [backup-simplify]: Simplify 2 into 2 11.914 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.914 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.914 * [taylor]: Taking taylor expansion of n in n 11.915 * [backup-simplify]: Simplify 0 into 0 11.915 * [backup-simplify]: Simplify 1 into 1 11.915 * [backup-simplify]: Simplify (* 1 1) into 1 11.915 * [backup-simplify]: Simplify (/ 1 1) into 1 11.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.918 * [backup-simplify]: Simplify (- 0) into 0 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.919 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.919 * [backup-simplify]: Simplify (- 0) into 0 11.919 * [backup-simplify]: Simplify 0 into 0 11.919 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.920 * [backup-simplify]: Simplify (+ 0 0) into 0 11.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.921 * [backup-simplify]: Simplify (- 0) into 0 11.921 * [backup-simplify]: Simplify (+ 0 0) into 0 11.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 11.923 * [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)))) 11.923 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.923 * [taylor]: Taking taylor expansion of 2 in n 11.923 * [backup-simplify]: Simplify 2 into 2 11.923 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.923 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.923 * [taylor]: Taking taylor expansion of n in n 11.923 * [backup-simplify]: Simplify 0 into 0 11.923 * [backup-simplify]: Simplify 1 into 1 11.923 * [backup-simplify]: Simplify (* 1 1) into 1 11.924 * [backup-simplify]: Simplify (* 1 1) into 1 11.924 * [backup-simplify]: Simplify (/ 1 1) into 1 11.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.929 * [backup-simplify]: Simplify (- 0) into 0 11.930 * [backup-simplify]: Simplify 0 into 0 11.930 * [backup-simplify]: Simplify -1 into -1 11.930 * [backup-simplify]: Simplify (/ -1 (log (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 11.930 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 11.930 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 11.930 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.930 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.930 * [taylor]: Taking taylor expansion of f in n 11.930 * [backup-simplify]: Simplify f into f 11.930 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.930 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.930 * [taylor]: Taking taylor expansion of n in n 11.930 * [backup-simplify]: Simplify 0 into 0 11.930 * [backup-simplify]: Simplify 1 into 1 11.931 * [backup-simplify]: Simplify (/ 1 1) into 1 11.931 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.931 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.931 * [taylor]: Taking taylor expansion of n in n 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 1 into 1 11.931 * [backup-simplify]: Simplify (/ 1 1) into 1 11.931 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.931 * [taylor]: Taking taylor expansion of f in n 11.931 * [backup-simplify]: Simplify f into f 11.931 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.932 * [backup-simplify]: Simplify (+ 0 1) into 1 11.932 * [backup-simplify]: Simplify (+ 1 0) into 1 11.933 * [backup-simplify]: Simplify (/ 1 1) into 1 11.933 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 11.933 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.933 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.933 * [taylor]: Taking taylor expansion of f in f 11.933 * [backup-simplify]: Simplify 0 into 0 11.933 * [backup-simplify]: Simplify 1 into 1 11.933 * [backup-simplify]: Simplify (/ 1 1) into 1 11.933 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.933 * [taylor]: Taking taylor expansion of n in f 11.933 * [backup-simplify]: Simplify n into n 11.933 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.933 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.933 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.933 * [taylor]: Taking taylor expansion of n in f 11.933 * [backup-simplify]: Simplify n into n 11.933 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.933 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.933 * [taylor]: Taking taylor expansion of f in f 11.934 * [backup-simplify]: Simplify 0 into 0 11.934 * [backup-simplify]: Simplify 1 into 1 11.934 * [backup-simplify]: Simplify (/ 1 1) into 1 11.934 * [backup-simplify]: Simplify (+ 1 0) into 1 11.935 * [backup-simplify]: Simplify (- 1) into -1 11.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.936 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 11.936 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.936 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.936 * [taylor]: Taking taylor expansion of f in f 11.936 * [backup-simplify]: Simplify 0 into 0 11.936 * [backup-simplify]: Simplify 1 into 1 11.936 * [backup-simplify]: Simplify (/ 1 1) into 1 11.936 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.936 * [taylor]: Taking taylor expansion of n in f 11.936 * [backup-simplify]: Simplify n into n 11.936 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.936 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.936 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.936 * [taylor]: Taking taylor expansion of n in f 11.936 * [backup-simplify]: Simplify n into n 11.936 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.936 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.937 * [taylor]: Taking taylor expansion of f in f 11.937 * [backup-simplify]: Simplify 0 into 0 11.937 * [backup-simplify]: Simplify 1 into 1 11.937 * [backup-simplify]: Simplify (/ 1 1) into 1 11.937 * [backup-simplify]: Simplify (+ 1 0) into 1 11.938 * [backup-simplify]: Simplify (- 1) into -1 11.938 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.939 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.939 * [taylor]: Taking taylor expansion of -1 in n 11.939 * [backup-simplify]: Simplify -1 into -1 11.939 * [backup-simplify]: Simplify -1 into -1 11.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.940 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.941 * [backup-simplify]: Simplify (- 0) into 0 11.941 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.941 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 11.941 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.941 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.941 * [taylor]: Taking taylor expansion of 2 in n 11.941 * [backup-simplify]: Simplify 2 into 2 11.941 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.941 * [taylor]: Taking taylor expansion of n in n 11.941 * [backup-simplify]: Simplify 0 into 0 11.941 * [backup-simplify]: Simplify 1 into 1 11.942 * [backup-simplify]: Simplify (/ 1 1) into 1 11.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.943 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.944 * [backup-simplify]: Simplify (- 0) into 0 11.944 * [backup-simplify]: Simplify 0 into 0 11.944 * [backup-simplify]: Simplify 0 into 0 11.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.945 * [backup-simplify]: Simplify (+ 0 0) into 0 11.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.947 * [backup-simplify]: Simplify (- 0) into 0 11.947 * [backup-simplify]: Simplify (+ 0 0) into 0 11.948 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 11.948 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.948 * [taylor]: Taking taylor expansion of 2 in n 11.948 * [backup-simplify]: Simplify 2 into 2 11.948 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.948 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.948 * [taylor]: Taking taylor expansion of n in n 11.948 * [backup-simplify]: Simplify 0 into 0 11.948 * [backup-simplify]: Simplify 1 into 1 11.949 * [backup-simplify]: Simplify (* 1 1) into 1 11.949 * [backup-simplify]: Simplify (/ 1 1) into 1 11.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.954 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.954 * [backup-simplify]: Simplify (- 0) into 0 11.954 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.956 * [backup-simplify]: Simplify (- 0) into 0 11.956 * [backup-simplify]: Simplify 0 into 0 11.956 * [backup-simplify]: Simplify 0 into 0 11.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.958 * [backup-simplify]: Simplify (+ 0 0) into 0 11.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.959 * [backup-simplify]: Simplify (- 0) into 0 11.959 * [backup-simplify]: Simplify (+ 0 0) into 0 11.960 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 11.960 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.960 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.960 * [taylor]: Taking taylor expansion of 2 in n 11.960 * [backup-simplify]: Simplify 2 into 2 11.960 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.960 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.960 * [taylor]: Taking taylor expansion of n in n 11.960 * [backup-simplify]: Simplify 0 into 0 11.960 * [backup-simplify]: Simplify 1 into 1 11.961 * [backup-simplify]: Simplify (* 1 1) into 1 11.961 * [backup-simplify]: Simplify (* 1 1) into 1 11.961 * [backup-simplify]: Simplify (/ 1 1) into 1 11.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.967 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.967 * [backup-simplify]: Simplify (- 0) into 0 11.967 * [backup-simplify]: Simplify 0 into 0 11.967 * [backup-simplify]: Simplify -1 into -1 11.967 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 11.967 * [backup-simplify]: Simplify (exp (/ -1 (log (exp (/ (- f n) (+ f n)))))) into (exp (* -1 (/ (+ n f) (- f n)))) 11.967 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 11.967 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 11.967 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 11.968 * [taylor]: Taking taylor expansion of -1 in n 11.968 * [backup-simplify]: Simplify -1 into -1 11.968 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 11.968 * [taylor]: Taking taylor expansion of (+ n f) in n 11.968 * [taylor]: Taking taylor expansion of n in n 11.968 * [backup-simplify]: Simplify 0 into 0 11.968 * [backup-simplify]: Simplify 1 into 1 11.968 * [taylor]: Taking taylor expansion of f in n 11.968 * [backup-simplify]: Simplify f into f 11.968 * [taylor]: Taking taylor expansion of (- f n) in n 11.968 * [taylor]: Taking taylor expansion of f in n 11.968 * [backup-simplify]: Simplify f into f 11.968 * [taylor]: Taking taylor expansion of n in n 11.968 * [backup-simplify]: Simplify 0 into 0 11.968 * [backup-simplify]: Simplify 1 into 1 11.968 * [backup-simplify]: Simplify (+ 0 f) into f 11.968 * [backup-simplify]: Simplify (- 0) into 0 11.968 * [backup-simplify]: Simplify (+ f 0) into f 11.968 * [backup-simplify]: Simplify (/ f f) into 1 11.968 * [backup-simplify]: Simplify (* -1 1) into -1 11.969 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.969 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 11.969 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 11.969 * [taylor]: Taking taylor expansion of -1 in f 11.969 * [backup-simplify]: Simplify -1 into -1 11.969 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 11.969 * [taylor]: Taking taylor expansion of (+ n f) in f 11.969 * [taylor]: Taking taylor expansion of n in f 11.969 * [backup-simplify]: Simplify n into n 11.969 * [taylor]: Taking taylor expansion of f in f 11.969 * [backup-simplify]: Simplify 0 into 0 11.969 * [backup-simplify]: Simplify 1 into 1 11.969 * [taylor]: Taking taylor expansion of (- f n) in f 11.969 * [taylor]: Taking taylor expansion of f in f 11.969 * [backup-simplify]: Simplify 0 into 0 11.969 * [backup-simplify]: Simplify 1 into 1 11.969 * [taylor]: Taking taylor expansion of n in f 11.969 * [backup-simplify]: Simplify n into n 11.969 * [backup-simplify]: Simplify (+ n 0) into n 11.969 * [backup-simplify]: Simplify (- n) into (- n) 11.969 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.969 * [backup-simplify]: Simplify (/ n (- n)) into -1 11.969 * [backup-simplify]: Simplify (* -1 -1) into 1 11.969 * [backup-simplify]: Simplify (exp 1) into E 11.969 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 11.969 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 11.969 * [taylor]: Taking taylor expansion of -1 in f 11.969 * [backup-simplify]: Simplify -1 into -1 11.969 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 11.969 * [taylor]: Taking taylor expansion of (+ n f) in f 11.969 * [taylor]: Taking taylor expansion of n in f 11.969 * [backup-simplify]: Simplify n into n 11.969 * [taylor]: Taking taylor expansion of f in f 11.969 * [backup-simplify]: Simplify 0 into 0 11.969 * [backup-simplify]: Simplify 1 into 1 11.969 * [taylor]: Taking taylor expansion of (- f n) in f 11.969 * [taylor]: Taking taylor expansion of f in f 11.970 * [backup-simplify]: Simplify 0 into 0 11.970 * [backup-simplify]: Simplify 1 into 1 11.970 * [taylor]: Taking taylor expansion of n in f 11.970 * [backup-simplify]: Simplify n into n 11.970 * [backup-simplify]: Simplify (+ n 0) into n 11.970 * [backup-simplify]: Simplify (- n) into (- n) 11.970 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.970 * [backup-simplify]: Simplify (/ n (- n)) into -1 11.970 * [backup-simplify]: Simplify (* -1 -1) into 1 11.970 * [backup-simplify]: Simplify (exp 1) into E 11.970 * [taylor]: Taking taylor expansion of E in n 11.970 * [backup-simplify]: Simplify E into E 11.970 * [backup-simplify]: Simplify E into E 11.970 * [backup-simplify]: Simplify (+ 0 1) into 1 11.971 * [backup-simplify]: Simplify (- 0) into 0 11.971 * [backup-simplify]: Simplify (+ 1 0) into 1 11.971 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 11.971 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 11.971 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 11.971 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 11.971 * [taylor]: Taking taylor expansion of 2 in n 11.971 * [backup-simplify]: Simplify 2 into 2 11.972 * [taylor]: Taking taylor expansion of (/ E n) in n 11.972 * [taylor]: Taking taylor expansion of E in n 11.972 * [backup-simplify]: Simplify E into E 11.972 * [taylor]: Taking taylor expansion of n in n 11.972 * [backup-simplify]: Simplify 0 into 0 11.972 * [backup-simplify]: Simplify 1 into 1 11.972 * [backup-simplify]: Simplify (/ E 1) into E 11.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 11.973 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify (+ 0 0) into 0 11.978 * [backup-simplify]: Simplify (- 0) into 0 11.979 * [backup-simplify]: Simplify (+ 0 0) into 0 11.979 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 11.980 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 11.980 * [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))) 11.980 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 11.980 * [taylor]: Taking taylor expansion of 4 in n 11.980 * [backup-simplify]: Simplify 4 into 4 11.980 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 11.980 * [taylor]: Taking taylor expansion of E in n 11.980 * [backup-simplify]: Simplify E into E 11.980 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.980 * [taylor]: Taking taylor expansion of n in n 11.980 * [backup-simplify]: Simplify 0 into 0 11.980 * [backup-simplify]: Simplify 1 into 1 11.980 * [backup-simplify]: Simplify (* 1 1) into 1 11.981 * [backup-simplify]: Simplify (/ E 1) into E 11.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 11.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.984 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 11.984 * [backup-simplify]: Simplify 0 into 0 11.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 11.985 * [backup-simplify]: Simplify 0 into 0 11.985 * [backup-simplify]: Simplify 0 into 0 11.985 * [backup-simplify]: Simplify (+ 0 0) into 0 11.985 * [backup-simplify]: Simplify (- 0) into 0 11.986 * [backup-simplify]: Simplify (+ 0 0) into 0 11.986 * [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)))) 11.987 * [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))) 11.988 * [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))) 11.988 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 11.988 * [taylor]: Taking taylor expansion of 22/3 in n 11.988 * [backup-simplify]: Simplify 22/3 into 22/3 11.988 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 11.988 * [taylor]: Taking taylor expansion of E in n 11.988 * [backup-simplify]: Simplify E into E 11.988 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.988 * [taylor]: Taking taylor expansion of n in n 11.988 * [backup-simplify]: Simplify 0 into 0 11.988 * [backup-simplify]: Simplify 1 into 1 11.989 * [backup-simplify]: Simplify (* 1 1) into 1 11.989 * [backup-simplify]: Simplify (* 1 1) into 1 11.990 * [backup-simplify]: Simplify (/ E 1) into E 11.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 11.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.000 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 12.000 * [backup-simplify]: Simplify 0 into 0 12.000 * [backup-simplify]: Simplify E into E 12.001 * [backup-simplify]: Simplify (exp (/ -1 (log (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 12.001 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 12.001 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 12.001 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 12.001 * [taylor]: Taking taylor expansion of -1 in n 12.001 * [backup-simplify]: Simplify -1 into -1 12.001 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 12.001 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.001 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.001 * [taylor]: Taking taylor expansion of f in n 12.001 * [backup-simplify]: Simplify f into f 12.001 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.001 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.001 * [taylor]: Taking taylor expansion of n in n 12.001 * [backup-simplify]: Simplify 0 into 0 12.001 * [backup-simplify]: Simplify 1 into 1 12.002 * [backup-simplify]: Simplify (/ 1 1) into 1 12.002 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.002 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.002 * [taylor]: Taking taylor expansion of f in n 12.002 * [backup-simplify]: Simplify f into f 12.002 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.002 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.002 * [taylor]: Taking taylor expansion of n in n 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify 1 into 1 12.002 * [backup-simplify]: Simplify (/ 1 1) into 1 12.003 * [backup-simplify]: Simplify (+ 0 1) into 1 12.003 * [backup-simplify]: Simplify (- 1) into -1 12.004 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.004 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.004 * [backup-simplify]: Simplify (* -1 -1) into 1 12.004 * [backup-simplify]: Simplify (exp 1) into E 12.005 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 12.005 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.005 * [taylor]: Taking taylor expansion of -1 in f 12.005 * [backup-simplify]: Simplify -1 into -1 12.005 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.005 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.005 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.005 * [taylor]: Taking taylor expansion of f in f 12.005 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify 1 into 1 12.005 * [backup-simplify]: Simplify (/ 1 1) into 1 12.005 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.005 * [taylor]: Taking taylor expansion of n in f 12.005 * [backup-simplify]: Simplify n into n 12.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.005 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.005 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.005 * [taylor]: Taking taylor expansion of f in f 12.005 * [backup-simplify]: Simplify 0 into 0 12.006 * [backup-simplify]: Simplify 1 into 1 12.006 * [backup-simplify]: Simplify (/ 1 1) into 1 12.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.006 * [taylor]: Taking taylor expansion of n in f 12.006 * [backup-simplify]: Simplify n into n 12.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.007 * [backup-simplify]: Simplify (+ 1 0) into 1 12.007 * [backup-simplify]: Simplify (+ 1 0) into 1 12.007 * [backup-simplify]: Simplify (/ 1 1) into 1 12.008 * [backup-simplify]: Simplify (* -1 1) into -1 12.008 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.008 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 12.008 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.008 * [taylor]: Taking taylor expansion of -1 in f 12.009 * [backup-simplify]: Simplify -1 into -1 12.009 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.009 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.009 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.009 * [taylor]: Taking taylor expansion of f in f 12.009 * [backup-simplify]: Simplify 0 into 0 12.009 * [backup-simplify]: Simplify 1 into 1 12.009 * [backup-simplify]: Simplify (/ 1 1) into 1 12.009 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.009 * [taylor]: Taking taylor expansion of n in f 12.009 * [backup-simplify]: Simplify n into n 12.009 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.009 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.009 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.009 * [taylor]: Taking taylor expansion of f in f 12.010 * [backup-simplify]: Simplify 0 into 0 12.010 * [backup-simplify]: Simplify 1 into 1 12.010 * [backup-simplify]: Simplify (/ 1 1) into 1 12.010 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.010 * [taylor]: Taking taylor expansion of n in f 12.010 * [backup-simplify]: Simplify n into n 12.010 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.011 * [backup-simplify]: Simplify (+ 1 0) into 1 12.011 * [backup-simplify]: Simplify (+ 1 0) into 1 12.011 * [backup-simplify]: Simplify (/ 1 1) into 1 12.012 * [backup-simplify]: Simplify (* -1 1) into -1 12.012 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.012 * [taylor]: Taking taylor expansion of (exp -1) in n 12.012 * [taylor]: Taking taylor expansion of -1 in n 12.012 * [backup-simplify]: Simplify -1 into -1 12.013 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.013 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.014 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.015 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.015 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.015 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 12.016 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 12.017 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 12.017 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 12.017 * [taylor]: Taking taylor expansion of -2 in n 12.017 * [backup-simplify]: Simplify -2 into -2 12.017 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 12.017 * [taylor]: Taking taylor expansion of (exp -1) in n 12.017 * [taylor]: Taking taylor expansion of -1 in n 12.017 * [backup-simplify]: Simplify -1 into -1 12.017 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.017 * [taylor]: Taking taylor expansion of n in n 12.017 * [backup-simplify]: Simplify 0 into 0 12.017 * [backup-simplify]: Simplify 1 into 1 12.018 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 12.019 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 12.020 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 12.020 * [backup-simplify]: Simplify 0 into 0 12.021 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.021 * [backup-simplify]: Simplify 0 into 0 12.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.022 * [backup-simplify]: Simplify (+ 0 0) into 0 12.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.022 * [backup-simplify]: Simplify (- 0) into 0 12.023 * [backup-simplify]: Simplify (+ 0 0) into 0 12.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 12.024 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 12.024 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 12.024 * [taylor]: Taking taylor expansion of 0 in n 12.024 * [backup-simplify]: Simplify 0 into 0 12.024 * [backup-simplify]: Simplify 0 into 0 12.025 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.027 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 12.027 * [backup-simplify]: Simplify 0 into 0 12.028 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.028 * [backup-simplify]: Simplify 0 into 0 12.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.029 * [backup-simplify]: Simplify (+ 0 0) into 0 12.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.030 * [backup-simplify]: Simplify (- 0) into 0 12.030 * [backup-simplify]: Simplify (+ 0 0) into 0 12.031 * [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))) 12.032 * [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)))) 12.032 * [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))) 12.032 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 12.032 * [taylor]: Taking taylor expansion of 2/3 in n 12.032 * [backup-simplify]: Simplify 2/3 into 2/3 12.032 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 12.032 * [taylor]: Taking taylor expansion of (exp -1) in n 12.032 * [taylor]: Taking taylor expansion of -1 in n 12.032 * [backup-simplify]: Simplify -1 into -1 12.033 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.033 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.033 * [taylor]: Taking taylor expansion of n in n 12.033 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify 1 into 1 12.033 * [backup-simplify]: Simplify (* 1 1) into 1 12.034 * [backup-simplify]: Simplify (* 1 1) into 1 12.034 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 12.036 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.039 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 12.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.044 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.047 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 12.048 * [backup-simplify]: Simplify 0 into 0 12.048 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.048 * [backup-simplify]: Simplify (exp (/ -1 (log (exp (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 12.049 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 12.049 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 12.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 12.049 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.049 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.049 * [taylor]: Taking taylor expansion of f in n 12.049 * [backup-simplify]: Simplify f into f 12.049 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.049 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.049 * [taylor]: Taking taylor expansion of n in n 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 1 into 1 12.049 * [backup-simplify]: Simplify (/ 1 1) into 1 12.049 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.049 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.049 * [taylor]: Taking taylor expansion of n in n 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 1 into 1 12.050 * [backup-simplify]: Simplify (/ 1 1) into 1 12.050 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.050 * [taylor]: Taking taylor expansion of f in n 12.050 * [backup-simplify]: Simplify f into f 12.050 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.050 * [backup-simplify]: Simplify (+ 0 1) into 1 12.051 * [backup-simplify]: Simplify (+ 1 0) into 1 12.051 * [backup-simplify]: Simplify (/ 1 1) into 1 12.051 * [backup-simplify]: Simplify (exp 1) into E 12.051 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 12.051 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.052 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.052 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.052 * [taylor]: Taking taylor expansion of f in f 12.052 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify 1 into 1 12.052 * [backup-simplify]: Simplify (/ 1 1) into 1 12.052 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.052 * [taylor]: Taking taylor expansion of n in f 12.052 * [backup-simplify]: Simplify n into n 12.052 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.052 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.052 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.052 * [taylor]: Taking taylor expansion of n in f 12.052 * [backup-simplify]: Simplify n into n 12.052 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.052 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.052 * [taylor]: Taking taylor expansion of f in f 12.052 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify 1 into 1 12.053 * [backup-simplify]: Simplify (/ 1 1) into 1 12.053 * [backup-simplify]: Simplify (+ 1 0) into 1 12.054 * [backup-simplify]: Simplify (- 1) into -1 12.054 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.055 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.055 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.055 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 12.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.055 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.055 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.055 * [taylor]: Taking taylor expansion of f in f 12.055 * [backup-simplify]: Simplify 0 into 0 12.055 * [backup-simplify]: Simplify 1 into 1 12.056 * [backup-simplify]: Simplify (/ 1 1) into 1 12.056 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.056 * [taylor]: Taking taylor expansion of n in f 12.056 * [backup-simplify]: Simplify n into n 12.056 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.056 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.056 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.056 * [taylor]: Taking taylor expansion of n in f 12.056 * [backup-simplify]: Simplify n into n 12.056 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.056 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.056 * [taylor]: Taking taylor expansion of f in f 12.056 * [backup-simplify]: Simplify 0 into 0 12.056 * [backup-simplify]: Simplify 1 into 1 12.057 * [backup-simplify]: Simplify (/ 1 1) into 1 12.057 * [backup-simplify]: Simplify (+ 1 0) into 1 12.058 * [backup-simplify]: Simplify (- 1) into -1 12.058 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.059 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.059 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.059 * [taylor]: Taking taylor expansion of (exp -1) in n 12.059 * [taylor]: Taking taylor expansion of -1 in n 12.059 * [backup-simplify]: Simplify -1 into -1 12.060 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.060 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.061 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.062 * [backup-simplify]: Simplify (- 0) into 0 12.063 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.063 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 12.063 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 12.063 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 12.063 * [taylor]: Taking taylor expansion of -2 in n 12.064 * [backup-simplify]: Simplify -2 into -2 12.064 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 12.064 * [taylor]: Taking taylor expansion of (exp -1) in n 12.064 * [taylor]: Taking taylor expansion of -1 in n 12.064 * [backup-simplify]: Simplify -1 into -1 12.064 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.064 * [taylor]: Taking taylor expansion of n in n 12.064 * [backup-simplify]: Simplify 0 into 0 12.064 * [backup-simplify]: Simplify 1 into 1 12.065 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 12.066 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 12.068 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 12.068 * [backup-simplify]: Simplify 0 into 0 12.070 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.070 * [backup-simplify]: Simplify 0 into 0 12.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.071 * [backup-simplify]: Simplify (+ 0 0) into 0 12.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.073 * [backup-simplify]: Simplify (- 0) into 0 12.073 * [backup-simplify]: Simplify (+ 0 0) into 0 12.074 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.075 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 12.075 * [taylor]: Taking taylor expansion of 0 in n 12.075 * [backup-simplify]: Simplify 0 into 0 12.075 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.080 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 12.080 * [backup-simplify]: Simplify 0 into 0 12.082 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.082 * [backup-simplify]: Simplify 0 into 0 12.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.083 * [backup-simplify]: Simplify (+ 0 0) into 0 12.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.085 * [backup-simplify]: Simplify (- 0) into 0 12.085 * [backup-simplify]: Simplify (+ 0 0) into 0 12.087 * [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)))) 12.089 * [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))) 12.089 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 12.089 * [taylor]: Taking taylor expansion of 2/3 in n 12.089 * [backup-simplify]: Simplify 2/3 into 2/3 12.089 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 12.089 * [taylor]: Taking taylor expansion of (exp -1) in n 12.089 * [taylor]: Taking taylor expansion of -1 in n 12.089 * [backup-simplify]: Simplify -1 into -1 12.089 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.089 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.089 * [taylor]: Taking taylor expansion of n in n 12.089 * [backup-simplify]: Simplify 0 into 0 12.089 * [backup-simplify]: Simplify 1 into 1 12.090 * [backup-simplify]: Simplify (* 1 1) into 1 12.090 * [backup-simplify]: Simplify (* 1 1) into 1 12.091 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 12.093 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.098 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 12.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.102 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.104 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 12.104 * [backup-simplify]: Simplify 0 into 0 12.105 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.105 * * * [progress]: simplifying candidates 12.105 * * * * [progress]: [ 1 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 2 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 3 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 4 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 5 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 6 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 7 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 8 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 9 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 10 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 11 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 12 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 13 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 14 / 338 ] simplifiying candidate # 12.105 * * * * [progress]: [ 15 / 338 ] simplifiying candidate # 12.105 * * * * 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[progress]: [ 330 / 338 ] simplifiying candidate # 12.128 * * * * [progress]: [ 331 / 338 ] simplifiying candidate # 12.128 * * * * [progress]: [ 332 / 338 ] simplifiying candidate # 12.128 * * * * [progress]: [ 333 / 338 ] simplifiying candidate # 12.128 * * * * [progress]: [ 334 / 338 ] simplifiying candidate # 12.128 * * * * [progress]: [ 335 / 338 ] simplifiying candidate # 12.128 * * * * [progress]: [ 336 / 338 ] simplifiying candidate # 12.128 * * * * [progress]: [ 337 / 338 ] simplifiying candidate # 12.128 * * * * [progress]: [ 338 / 338 ] simplifiying candidate # 12.133 * [simplify]: Simplifying: (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) 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cost 1496 inf + 132529 13.451 * * [simplify]: Extracting #4: cost 289 inf + 390400 13.539 * * [simplify]: Extracting #5: cost 22 inf + 463768 13.617 * * [simplify]: Extracting #6: cost 18 inf + 465942 13.716 * * [simplify]: Extracting #7: cost 3 inf + 468217 13.819 * * [simplify]: Extracting #8: cost 0 inf + 468976 13.910 * [simplify]: Simplified to: (log (/ (- f n) (+ 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)) (- (+ n f)) (/ 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))) (/ (cbrt (- f 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(exp (/ (+ f n) (- f n))) (exp (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n)))) (exp (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (exp (/ (+ f n) (- (sqrt f) (sqrt n)))) (exp (/ (+ f n) (- (sqrt f) (sqrt n)))) (exp (/ (cbrt (+ f n)) (- f n))) (exp (/ (sqrt (+ f n)) (- f n))) (exp (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (exp (+ n f)) (exp (/ 1 (+ (* f f) (* n (- n f))))) (exp (/ 1 (- f n))) (exp (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))))) (exp (/ 1 (sqrt (/ (- f n) (+ f n))))) E E (/ 1 E) (/ (- (+ n f)) (- f n)) (exp (exp (/ (- (+ n f)) (- f n)))) (* (cbrt (exp (/ (- (+ n f)) (- f n)))) (cbrt (exp (/ (- (+ n f)) (- f n))))) (cbrt (exp (/ (- (+ n f)) (- f n)))) (exp (+ (+ (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n)))) (sqrt (exp (/ (- (+ n f)) (- f n)))) (sqrt (exp (/ (- (+ n f)) (- f n)))) (real->posit16 (exp (/ (- (+ n f)) (- f n)))) -1 1 1 -1 1 1 1 -1 -1 E (/ 1 E) (/ 1 E) 13.965 * * * [progress]: adding candidates to table 15.566 * [progress]: [Phase 3 of 3] Extracting. 15.566 * * [regime]: Finding splitpoints for: (# # #) 15.567 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 15.568 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 15.600 * * * * [regimes]: Trying to branch on n from (# # #) 15.627 * * * * [regimes]: Trying to branch on f from (# # #) 15.681 * * * [regime]: Found split indices: #