0.517 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.060 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.061 * * [simplify]: iteration 0: 6 enodes 0.099 * * [simplify]: iteration 1: 13 enodes 0.101 * * [simplify]: iteration 2: 16 enodes 0.103 * * [simplify]: iteration 3: 20 enodes 0.106 * * [simplify]: iteration 4: 26 enodes 0.109 * * [simplify]: iteration 5: 30 enodes 0.113 * * [simplify]: iteration 6: 32 enodes 0.116 * * [simplify]: iteration complete: 32 enodes 0.116 * * [simplify]: Extracting #0: cost 1 inf + 0 0.116 * * [simplify]: Extracting #1: cost 9 inf + 0 0.116 * * [simplify]: Extracting #2: cost 14 inf + 0 0.117 * * [simplify]: Extracting #3: cost 11 inf + 43 0.117 * * [simplify]: Extracting #4: cost 2 inf + 860 0.117 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.117 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.119 * * [progress]: iteration 1 / 4 0.119 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.133 * * * [progress]: generating rewritten candidates 0.133 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.167 * * * [progress]: generating series expansions 0.175 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.180 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.180 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.181 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.181 * [taylor]: Taking taylor expansion of -1 in n 0.181 * [backup-simplify]: Simplify -1 into -1 0.181 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.181 * [taylor]: Taking taylor expansion of (+ n f) in n 0.181 * [taylor]: Taking taylor expansion of n in n 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of f in n 0.181 * [backup-simplify]: Simplify f into f 0.181 * [taylor]: Taking taylor expansion of (- f n) in n 0.181 * [taylor]: Taking taylor expansion of f in n 0.181 * [backup-simplify]: Simplify f into f 0.181 * [taylor]: Taking taylor expansion of n in n 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ 0 f) into f 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ f 0) into f 0.182 * [backup-simplify]: Simplify (/ f f) into 1 0.182 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.182 * [taylor]: Taking taylor expansion of -1 in f 0.182 * [backup-simplify]: Simplify -1 into -1 0.182 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.182 * [taylor]: Taking taylor expansion of (+ n f) in f 0.182 * [taylor]: Taking taylor expansion of n in f 0.182 * [backup-simplify]: Simplify n into n 0.182 * [taylor]: Taking taylor expansion of f in f 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of (- f n) in f 0.182 * [taylor]: Taking taylor expansion of f in f 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of n in f 0.182 * [backup-simplify]: Simplify n into n 0.182 * [backup-simplify]: Simplify (+ n 0) into n 0.182 * [backup-simplify]: Simplify (- n) into (- n) 0.182 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.182 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.183 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.183 * [taylor]: Taking taylor expansion of -1 in f 0.183 * [backup-simplify]: Simplify -1 into -1 0.183 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.183 * [taylor]: Taking taylor expansion of (+ n f) in f 0.183 * [taylor]: Taking taylor expansion of n in f 0.183 * [backup-simplify]: Simplify n into n 0.183 * [taylor]: Taking taylor expansion of f in f 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of (- f n) in f 0.183 * [taylor]: Taking taylor expansion of f in f 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of n in f 0.183 * [backup-simplify]: Simplify n into n 0.183 * [backup-simplify]: Simplify (+ n 0) into n 0.183 * [backup-simplify]: Simplify (- n) into (- n) 0.183 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.183 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.184 * [backup-simplify]: Simplify (* -1 -1) into 1 0.184 * [taylor]: Taking taylor expansion of 1 in n 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (+ 0 1) into 1 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.186 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.186 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.186 * [taylor]: Taking taylor expansion of 2 in n 0.186 * [backup-simplify]: Simplify 2 into 2 0.186 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.186 * [taylor]: Taking taylor expansion of n in n 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.189 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.189 * [taylor]: Taking taylor expansion of 2 in n 0.189 * [backup-simplify]: Simplify 2 into 2 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.189 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.189 * [taylor]: Taking taylor expansion of n in n 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (* 1 1) into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [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)))) 0.196 * [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))) 0.196 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.197 * [taylor]: Taking taylor expansion of 2 in n 0.197 * [backup-simplify]: Simplify 2 into 2 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.197 * [taylor]: Taking taylor expansion of (pow n 3) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.203 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.203 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.203 * [taylor]: Taking taylor expansion of -1 in n 0.203 * [backup-simplify]: Simplify -1 into -1 0.203 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.203 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.203 * [taylor]: Taking taylor expansion of f in n 0.203 * [backup-simplify]: Simplify f into f 0.203 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.203 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.203 * [taylor]: Taking taylor expansion of n in n 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.204 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.204 * [taylor]: Taking taylor expansion of f in n 0.204 * [backup-simplify]: Simplify f into f 0.204 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.204 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.204 * [taylor]: Taking taylor expansion of n in n 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify (+ 0 1) into 1 0.205 * [backup-simplify]: Simplify (- 1) into -1 0.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.205 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.205 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.205 * [taylor]: Taking taylor expansion of -1 in f 0.205 * [backup-simplify]: Simplify -1 into -1 0.205 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.205 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.205 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.206 * [taylor]: Taking taylor expansion of n in f 0.206 * [backup-simplify]: Simplify n into n 0.206 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.206 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.206 * [taylor]: Taking taylor expansion of f in f 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.206 * [taylor]: Taking taylor expansion of n in f 0.206 * [backup-simplify]: Simplify n into n 0.206 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.207 * [taylor]: Taking taylor expansion of -1 in f 0.207 * [backup-simplify]: Simplify -1 into -1 0.207 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.207 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.207 * [taylor]: Taking taylor expansion of f in f 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.208 * [taylor]: Taking taylor expansion of n in f 0.208 * [backup-simplify]: Simplify n into n 0.208 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.208 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.208 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.208 * [taylor]: Taking taylor expansion of f in f 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.208 * [taylor]: Taking taylor expansion of n in f 0.208 * [backup-simplify]: Simplify n into n 0.208 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [backup-simplify]: Simplify (* -1 1) into -1 0.209 * [taylor]: Taking taylor expansion of -1 in n 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [backup-simplify]: Simplify -1 into -1 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.210 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.211 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.211 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.211 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.211 * [taylor]: Taking taylor expansion of 2 in n 0.211 * [backup-simplify]: Simplify 2 into 2 0.211 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.211 * [taylor]: Taking taylor expansion of n in n 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.216 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.216 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.216 * [taylor]: Taking taylor expansion of 2 in n 0.216 * [backup-simplify]: Simplify 2 into 2 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.216 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.216 * [taylor]: Taking taylor expansion of n in n 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [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))) 0.224 * [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)))) 0.225 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.225 * [taylor]: Taking taylor expansion of 2 in n 0.225 * [backup-simplify]: Simplify 2 into 2 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.225 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.225 * [taylor]: Taking taylor expansion of n in n 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify -1 into -1 0.232 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.232 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.232 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.232 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.232 * [taylor]: Taking taylor expansion of f in n 0.232 * [backup-simplify]: Simplify f into f 0.232 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.232 * [taylor]: Taking taylor expansion of (/ 1 n) 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 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.232 * [taylor]: Taking taylor expansion of (/ 1 n) 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 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.232 * [taylor]: Taking taylor expansion of f in n 0.232 * [backup-simplify]: Simplify f into f 0.232 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.233 * [backup-simplify]: Simplify (+ 0 1) into 1 0.233 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.233 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.233 * [taylor]: Taking taylor expansion of f in f 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.234 * [taylor]: Taking taylor expansion of n in f 0.234 * [backup-simplify]: Simplify n into n 0.234 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.234 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.234 * [taylor]: Taking taylor expansion of n in f 0.234 * [backup-simplify]: Simplify n into n 0.234 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.234 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.234 * [taylor]: Taking taylor expansion of f in f 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.235 * [backup-simplify]: Simplify (- 1) into -1 0.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.235 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.235 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.235 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.235 * [taylor]: Taking taylor expansion of f in f 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.235 * [taylor]: Taking taylor expansion of n in f 0.235 * [backup-simplify]: Simplify n into n 0.236 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.236 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.236 * [taylor]: Taking taylor expansion of n in f 0.236 * [backup-simplify]: Simplify n into n 0.236 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.236 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.236 * [taylor]: Taking taylor expansion of f in f 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (- 1) into -1 0.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.237 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.237 * [taylor]: Taking taylor expansion of -1 in n 0.237 * [backup-simplify]: Simplify -1 into -1 0.237 * [backup-simplify]: Simplify -1 into -1 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.239 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.239 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.239 * [taylor]: Taking taylor expansion of 2 in n 0.239 * [backup-simplify]: Simplify 2 into 2 0.239 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.239 * [taylor]: Taking taylor expansion of n in n 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.243 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.243 * [taylor]: Taking taylor expansion of 2 in n 0.243 * [backup-simplify]: Simplify 2 into 2 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.243 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.243 * [taylor]: Taking taylor expansion of n in n 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.251 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.251 * [taylor]: Taking taylor expansion of 2 in n 0.251 * [backup-simplify]: Simplify 2 into 2 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.251 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.251 * [taylor]: Taking taylor expansion of n in n 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify -1 into -1 0.258 * * * [progress]: simplifying candidates 0.259 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.261 * * [simplify]: iteration 0: 135 enodes 0.292 * * [simplify]: iteration 1: 316 enodes 0.365 * * [simplify]: iteration 2: 1069 enodes 0.986 * * [simplify]: iteration complete: 5002 enodes 0.987 * * [simplify]: Extracting #0: cost 88 inf + 0 0.989 * * [simplify]: Extracting #1: cost 581 inf + 3 0.994 * * [simplify]: Extracting #2: cost 1358 inf + 379 1.022 * * [simplify]: Extracting #3: cost 1755 inf + 61281 1.107 * * [simplify]: Extracting #4: cost 632 inf + 287843 1.200 * * [simplify]: Extracting #5: cost 55 inf + 396780 1.317 * * [simplify]: Extracting #6: cost 4 inf + 408811 1.405 * * [simplify]: Extracting #7: cost 0 inf + 409823 1.515 * [simplify]: Simplified to: (expm1 (/ (- (+ n f)) (- f n))) (log1p (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (- (* (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (- (* (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ f n) (- (- f n)) 0 (/ (+ f n) (- 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)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (- (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (* (- (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (- (cbrt (+ f n))) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- f n)) (/ (* (- (cbrt (+ f n))) (cbrt (+ f n))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (* (- (cbrt (+ f n))) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (- (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (- (/ (cbrt (+ f n)) (cbrt (- f n)))) (* (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (sqrt (- f n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (* (/ (cbrt (+ f n)) (+ (sqrt n) (sqrt f))) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ f n) (- f n)) (- (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n)))) (- (/ (+ f n) (sqrt (- f n)))) (- (+ n f)) (- (/ (+ f n) (+ (sqrt n) (sqrt f)))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- 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) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ f n) (- (* f (* f f)) (* (* n n) n)))) (/ -1 (- f n)) (* (- f n) (fma f f (* n (- n f)))) (* (- f n) (- f n)) 1 -1 -1 1.526 * * * [progress]: adding candidates to table 1.871 * * [progress]: iteration 2 / 4 1.871 * * * [progress]: picking best candidate 1.886 * * * * [pick]: Picked # 1.886 * * * [progress]: localizing error 1.898 * * * [progress]: generating rewritten candidates 1.899 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.917 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.961 * * * [progress]: generating series expansions 1.961 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.962 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 1.962 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.962 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.962 * [taylor]: Taking taylor expansion of (- f n) in n 1.962 * [taylor]: Taking taylor expansion of f in n 1.962 * [backup-simplify]: Simplify f into f 1.962 * [taylor]: Taking taylor expansion of n in n 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of (+ n f) in n 1.962 * [taylor]: Taking taylor expansion of n in n 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of f in n 1.962 * [backup-simplify]: Simplify f into f 1.963 * [backup-simplify]: Simplify (- 0) into 0 1.963 * [backup-simplify]: Simplify (+ f 0) into f 1.963 * [backup-simplify]: Simplify (+ 0 f) into f 1.963 * [backup-simplify]: Simplify (/ f f) into 1 1.963 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.963 * [taylor]: Taking taylor expansion of (- f n) in f 1.963 * [taylor]: Taking taylor expansion of f in f 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of n in f 1.963 * [backup-simplify]: Simplify n into n 1.963 * [taylor]: Taking taylor expansion of (+ n f) in f 1.963 * [taylor]: Taking taylor expansion of n in f 1.963 * [backup-simplify]: Simplify n into n 1.963 * [taylor]: Taking taylor expansion of f in f 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (- n) into (- n) 1.963 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.964 * [backup-simplify]: Simplify (+ n 0) into n 1.964 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.964 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.964 * [taylor]: Taking taylor expansion of (- f n) in f 1.964 * [taylor]: Taking taylor expansion of f in f 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [taylor]: Taking taylor expansion of n in f 1.964 * [backup-simplify]: Simplify n into n 1.964 * [taylor]: Taking taylor expansion of (+ n f) in f 1.964 * [taylor]: Taking taylor expansion of n in f 1.964 * [backup-simplify]: Simplify n into n 1.964 * [taylor]: Taking taylor expansion of f in f 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (- n) into (- n) 1.964 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.964 * [backup-simplify]: Simplify (+ n 0) into n 1.964 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.964 * [taylor]: Taking taylor expansion of -1 in n 1.964 * [backup-simplify]: Simplify -1 into -1 1.964 * [backup-simplify]: Simplify -1 into -1 1.965 * [backup-simplify]: Simplify (- 0) into 0 1.965 * [backup-simplify]: Simplify (+ 1 0) into 1 1.966 * [backup-simplify]: Simplify (+ 0 1) into 1 1.966 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 1.966 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.966 * [taylor]: Taking taylor expansion of 2 in n 1.966 * [backup-simplify]: Simplify 2 into 2 1.966 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.966 * [taylor]: Taking taylor expansion of n in n 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (/ 1 1) into 1 1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (- 0) into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 1.970 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.970 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.970 * [taylor]: Taking taylor expansion of 2 in n 1.970 * [backup-simplify]: Simplify 2 into 2 1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.970 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.970 * [taylor]: Taking taylor expansion of n in n 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (* 1 1) into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.975 * [backup-simplify]: Simplify (- 0) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 1.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.979 * [taylor]: Taking taylor expansion of 2 in n 1.979 * [backup-simplify]: Simplify 2 into 2 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.979 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.979 * [taylor]: Taking taylor expansion of n in n 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (* 1 1) into 1 1.980 * [backup-simplify]: Simplify (* 1 1) into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify -1 into -1 1.990 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1.990 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.990 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.990 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.990 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.990 * [taylor]: Taking taylor expansion of f in n 1.990 * [backup-simplify]: Simplify f into f 1.990 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.990 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.990 * [taylor]: Taking taylor expansion of n in n 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.991 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.991 * [taylor]: Taking taylor expansion of f in n 1.991 * [backup-simplify]: Simplify f into f 1.991 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.991 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.991 * [taylor]: Taking taylor expansion of n in n 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [backup-simplify]: Simplify (- 1) into -1 1.992 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.993 * [backup-simplify]: Simplify (+ 0 1) into 1 1.993 * [backup-simplify]: Simplify (/ -1 1) into -1 1.993 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.993 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.993 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.993 * [taylor]: Taking taylor expansion of f in f 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.994 * [taylor]: Taking taylor expansion of n in f 1.994 * [backup-simplify]: Simplify n into n 1.994 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.994 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.994 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.994 * [taylor]: Taking taylor expansion of f in f 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.994 * [taylor]: Taking taylor expansion of n in f 1.994 * [backup-simplify]: Simplify n into n 1.994 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.995 * [backup-simplify]: Simplify (+ 1 0) into 1 1.995 * [backup-simplify]: Simplify (+ 1 0) into 1 1.996 * [backup-simplify]: Simplify (/ 1 1) into 1 1.996 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.996 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.996 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.996 * [taylor]: Taking taylor expansion of f in f 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (/ 1 1) into 1 1.996 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.996 * [taylor]: Taking taylor expansion of n in f 1.996 * [backup-simplify]: Simplify n into n 1.996 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.996 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.996 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.996 * [taylor]: Taking taylor expansion of f in f 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (/ 1 1) into 1 1.997 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.997 * [taylor]: Taking taylor expansion of n in f 1.997 * [backup-simplify]: Simplify n into n 1.997 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.998 * [backup-simplify]: Simplify (+ 1 0) into 1 1.998 * [backup-simplify]: Simplify (+ 1 0) into 1 2.003 * [backup-simplify]: Simplify (/ 1 1) into 1 2.003 * [taylor]: Taking taylor expansion of 1 in n 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.005 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.006 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 2.006 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.006 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.006 * [taylor]: Taking taylor expansion of 2 in n 2.006 * [backup-simplify]: Simplify 2 into 2 2.006 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.006 * [taylor]: Taking taylor expansion of n in n 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (/ 1 1) into 1 2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.010 * [backup-simplify]: Simplify (- 0) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 2.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.013 * [taylor]: Taking taylor expansion of 2 in n 2.013 * [backup-simplify]: Simplify 2 into 2 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.013 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.014 * [taylor]: Taking taylor expansion of n in n 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (* 1 1) into 1 2.014 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.021 * [backup-simplify]: Simplify (- 0) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.023 * [backup-simplify]: Simplify (- 0) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.026 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.026 * [taylor]: Taking taylor expansion of 2 in n 2.026 * [backup-simplify]: Simplify 2 into 2 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.026 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.026 * [taylor]: Taking taylor expansion of n in n 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (* 1 1) into 1 2.027 * [backup-simplify]: Simplify (* 1 1) into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 2.033 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 2.033 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 2.033 * [taylor]: Taking taylor expansion of -1 in n 2.033 * [backup-simplify]: Simplify -1 into -1 2.033 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 2.033 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.033 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.033 * [taylor]: Taking taylor expansion of n in n 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.033 * [taylor]: Taking taylor expansion of f in n 2.033 * [backup-simplify]: Simplify f into f 2.033 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.033 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.033 * [taylor]: Taking taylor expansion of f in n 2.033 * [backup-simplify]: Simplify f into f 2.033 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.033 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.033 * [taylor]: Taking taylor expansion of n in n 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [backup-simplify]: Simplify (+ 1 0) into 1 2.034 * [backup-simplify]: Simplify (+ 0 1) into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.034 * [taylor]: Taking taylor expansion of -1 in f 2.034 * [backup-simplify]: Simplify -1 into -1 2.034 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.034 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.034 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.034 * [taylor]: Taking taylor expansion of n in f 2.034 * [backup-simplify]: Simplify n into n 2.034 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.034 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.034 * [taylor]: Taking taylor expansion of f in f 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.035 * [taylor]: Taking taylor expansion of f in f 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.035 * [taylor]: Taking taylor expansion of n in f 2.035 * [backup-simplify]: Simplify n into n 2.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.035 * [backup-simplify]: Simplify (- 1) into -1 2.036 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.036 * [backup-simplify]: Simplify (+ 1 0) into 1 2.036 * [backup-simplify]: Simplify (/ -1 1) into -1 2.036 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.036 * [taylor]: Taking taylor expansion of -1 in f 2.036 * [backup-simplify]: Simplify -1 into -1 2.036 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.036 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.036 * [taylor]: Taking taylor expansion of n in f 2.036 * [backup-simplify]: Simplify n into n 2.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.036 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.036 * [taylor]: Taking taylor expansion of f in f 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.037 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.037 * [taylor]: Taking taylor expansion of f in f 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.037 * [taylor]: Taking taylor expansion of n in f 2.037 * [backup-simplify]: Simplify n into n 2.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.037 * [backup-simplify]: Simplify (- 1) into -1 2.038 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.038 * [backup-simplify]: Simplify (+ 1 0) into 1 2.038 * [backup-simplify]: Simplify (/ -1 1) into -1 2.038 * [backup-simplify]: Simplify (* -1 -1) into 1 2.038 * [taylor]: Taking taylor expansion of 1 in n 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (- 0) into 0 2.039 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.040 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 2.040 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 2.040 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.040 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.040 * [taylor]: Taking taylor expansion of 2 in n 2.040 * [backup-simplify]: Simplify 2 into 2 2.040 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.040 * [taylor]: Taking taylor expansion of n in n 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify (/ 1 1) into 1 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.042 * [backup-simplify]: Simplify (- 0) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (- 0) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.045 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.045 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.045 * [taylor]: Taking taylor expansion of 2 in n 2.045 * [backup-simplify]: Simplify 2 into 2 2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.045 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.045 * [taylor]: Taking taylor expansion of n in n 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (* 1 1) into 1 2.046 * [backup-simplify]: Simplify (/ 1 1) into 1 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.050 * [backup-simplify]: Simplify (- 0) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 2.054 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.054 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.054 * [taylor]: Taking taylor expansion of 2 in n 2.054 * [backup-simplify]: Simplify 2 into 2 2.054 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.054 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.054 * [taylor]: Taking taylor expansion of n in n 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.055 * [backup-simplify]: Simplify (* 1 1) into 1 2.055 * [backup-simplify]: Simplify (* 1 1) into 1 2.055 * [backup-simplify]: Simplify (/ 1 1) into 1 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (- 0) into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.061 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 2.061 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.061 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.061 * [taylor]: Taking taylor expansion of -1 in n 2.061 * [backup-simplify]: Simplify -1 into -1 2.061 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.061 * [taylor]: Taking taylor expansion of (+ n f) in n 2.061 * [taylor]: Taking taylor expansion of n in n 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [taylor]: Taking taylor expansion of f in n 2.061 * [backup-simplify]: Simplify f into f 2.061 * [taylor]: Taking taylor expansion of (- f n) in n 2.061 * [taylor]: Taking taylor expansion of f in n 2.061 * [backup-simplify]: Simplify f into f 2.061 * [taylor]: Taking taylor expansion of n in n 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (+ 0 f) into f 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify (+ f 0) into f 2.061 * [backup-simplify]: Simplify (/ f f) into 1 2.061 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.061 * [taylor]: Taking taylor expansion of -1 in f 2.061 * [backup-simplify]: Simplify -1 into -1 2.061 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.061 * [taylor]: Taking taylor expansion of (+ n f) in f 2.061 * [taylor]: Taking taylor expansion of n in f 2.061 * [backup-simplify]: Simplify n into n 2.061 * [taylor]: Taking taylor expansion of f in f 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [taylor]: Taking taylor expansion of (- f n) in f 2.061 * [taylor]: Taking taylor expansion of f in f 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [taylor]: Taking taylor expansion of n in f 2.061 * [backup-simplify]: Simplify n into n 2.061 * [backup-simplify]: Simplify (+ n 0) into n 2.062 * [backup-simplify]: Simplify (- n) into (- n) 2.062 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.062 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.062 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.062 * [taylor]: Taking taylor expansion of -1 in f 2.062 * [backup-simplify]: Simplify -1 into -1 2.062 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.062 * [taylor]: Taking taylor expansion of (+ n f) in f 2.062 * [taylor]: Taking taylor expansion of n in f 2.062 * [backup-simplify]: Simplify n into n 2.062 * [taylor]: Taking taylor expansion of f in f 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of (- f n) in f 2.062 * [taylor]: Taking taylor expansion of f in f 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of n in f 2.062 * [backup-simplify]: Simplify n into n 2.062 * [backup-simplify]: Simplify (+ n 0) into n 2.062 * [backup-simplify]: Simplify (- n) into (- n) 2.062 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.062 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.062 * [backup-simplify]: Simplify (* -1 -1) into 1 2.062 * [taylor]: Taking taylor expansion of 1 in n 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (+ 0 1) into 1 2.063 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ 1 0) into 1 2.063 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.064 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.064 * [taylor]: Taking taylor expansion of 2 in n 2.064 * [backup-simplify]: Simplify 2 into 2 2.064 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.064 * [taylor]: Taking taylor expansion of n in n 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (/ 1 1) into 1 2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (- 0) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.067 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.067 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.067 * [taylor]: Taking taylor expansion of 2 in n 2.067 * [backup-simplify]: Simplify 2 into 2 2.067 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.067 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.067 * [taylor]: Taking taylor expansion of n in n 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (* 1 1) into 1 2.067 * [backup-simplify]: Simplify (/ 1 1) into 1 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 2.073 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.073 * [taylor]: Taking taylor expansion of 2 in n 2.073 * [backup-simplify]: Simplify 2 into 2 2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.073 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.073 * [taylor]: Taking taylor expansion of n in n 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (* 1 1) into 1 2.074 * [backup-simplify]: Simplify (* 1 1) into 1 2.074 * [backup-simplify]: Simplify (/ 1 1) into 1 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.079 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.079 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.079 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.079 * [taylor]: Taking taylor expansion of -1 in n 2.079 * [backup-simplify]: Simplify -1 into -1 2.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.079 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.079 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.079 * [taylor]: Taking taylor expansion of f in n 2.079 * [backup-simplify]: Simplify f into f 2.079 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.079 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.079 * [taylor]: Taking taylor expansion of n in n 2.079 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.080 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.080 * [taylor]: Taking taylor expansion of f in n 2.080 * [backup-simplify]: Simplify f into f 2.080 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.080 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.080 * [taylor]: Taking taylor expansion of n in n 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [backup-simplify]: Simplify (+ 0 1) into 1 2.081 * [backup-simplify]: Simplify (- 1) into -1 2.081 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.081 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.081 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.081 * [taylor]: Taking taylor expansion of -1 in f 2.081 * [backup-simplify]: Simplify -1 into -1 2.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.081 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.081 * [taylor]: Taking taylor expansion of f in f 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.082 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.082 * [taylor]: Taking taylor expansion of n in f 2.082 * [backup-simplify]: Simplify n into n 2.082 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.082 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.082 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.082 * [taylor]: Taking taylor expansion of f in f 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.082 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.082 * [taylor]: Taking taylor expansion of n in f 2.082 * [backup-simplify]: Simplify n into n 2.082 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.082 * [backup-simplify]: Simplify (+ 1 0) into 1 2.083 * [backup-simplify]: Simplify (+ 1 0) into 1 2.083 * [backup-simplify]: Simplify (/ 1 1) into 1 2.083 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.083 * [taylor]: Taking taylor expansion of -1 in f 2.083 * [backup-simplify]: Simplify -1 into -1 2.083 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.083 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.083 * [taylor]: Taking taylor expansion of f in f 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (/ 1 1) into 1 2.083 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.083 * [taylor]: Taking taylor expansion of n in f 2.083 * [backup-simplify]: Simplify n into n 2.084 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.084 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.084 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.084 * [taylor]: Taking taylor expansion of f in f 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.084 * [taylor]: Taking taylor expansion of n in f 2.084 * [backup-simplify]: Simplify n into n 2.084 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.084 * [backup-simplify]: Simplify (+ 1 0) into 1 2.085 * [backup-simplify]: Simplify (+ 1 0) into 1 2.085 * [backup-simplify]: Simplify (/ 1 1) into 1 2.085 * [backup-simplify]: Simplify (* -1 1) into -1 2.085 * [taylor]: Taking taylor expansion of -1 in n 2.085 * [backup-simplify]: Simplify -1 into -1 2.085 * [backup-simplify]: Simplify -1 into -1 2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.086 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.086 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.087 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.087 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.087 * [taylor]: Taking taylor expansion of 2 in n 2.087 * [backup-simplify]: Simplify 2 into 2 2.087 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.087 * [taylor]: Taking taylor expansion of n in n 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (/ 1 1) into 1 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.088 * [backup-simplify]: Simplify (- 0) into 0 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.090 * [backup-simplify]: Simplify (+ 0 0) into 0 2.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.091 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.092 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.092 * [taylor]: Taking taylor expansion of 2 in n 2.092 * [backup-simplify]: Simplify 2 into 2 2.092 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.092 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.092 * [taylor]: Taking taylor expansion of n in n 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (* 1 1) into 1 2.092 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.095 * [backup-simplify]: Simplify (- 0) into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.096 * [backup-simplify]: Simplify (- 0) into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.098 * [backup-simplify]: Simplify (- 0) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.100 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.100 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.100 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.100 * [taylor]: Taking taylor expansion of 2 in n 2.100 * [backup-simplify]: Simplify 2 into 2 2.100 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.100 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.100 * [taylor]: Taking taylor expansion of n in n 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 1 into 1 2.100 * [backup-simplify]: Simplify (* 1 1) into 1 2.104 * [backup-simplify]: Simplify (* 1 1) into 1 2.105 * [backup-simplify]: Simplify (/ 1 1) into 1 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (- 0) into 0 2.110 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify -1 into -1 2.111 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.111 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.111 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.111 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.111 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.111 * [taylor]: Taking taylor expansion of f in n 2.111 * [backup-simplify]: Simplify f into f 2.111 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.111 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.111 * [taylor]: Taking taylor expansion of n in n 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.111 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.111 * [taylor]: Taking taylor expansion of n in n 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.112 * [taylor]: Taking taylor expansion of f in n 2.112 * [backup-simplify]: Simplify f into f 2.112 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.112 * [backup-simplify]: Simplify (+ 0 1) into 1 2.112 * [backup-simplify]: Simplify (+ 1 0) into 1 2.112 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.113 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.113 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.113 * [taylor]: Taking taylor expansion of f in f 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (/ 1 1) into 1 2.113 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.113 * [taylor]: Taking taylor expansion of n in f 2.113 * [backup-simplify]: Simplify n into n 2.113 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.113 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.113 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.113 * [taylor]: Taking taylor expansion of n in f 2.113 * [backup-simplify]: Simplify n into n 2.113 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.113 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.113 * [taylor]: Taking taylor expansion of f in f 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (/ 1 1) into 1 2.114 * [backup-simplify]: Simplify (+ 1 0) into 1 2.114 * [backup-simplify]: Simplify (- 1) into -1 2.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.115 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.115 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.115 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.115 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.115 * [taylor]: Taking taylor expansion of f in f 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (/ 1 1) into 1 2.115 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.115 * [taylor]: Taking taylor expansion of n in f 2.115 * [backup-simplify]: Simplify n into n 2.115 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.115 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.115 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.115 * [taylor]: Taking taylor expansion of n in f 2.115 * [backup-simplify]: Simplify n into n 2.115 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.115 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.115 * [taylor]: Taking taylor expansion of f in f 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (/ 1 1) into 1 2.116 * [backup-simplify]: Simplify (+ 1 0) into 1 2.116 * [backup-simplify]: Simplify (- 1) into -1 2.116 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.116 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.116 * [taylor]: Taking taylor expansion of -1 in n 2.116 * [backup-simplify]: Simplify -1 into -1 2.117 * [backup-simplify]: Simplify -1 into -1 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (- 0) into 0 2.118 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.118 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.118 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.118 * [taylor]: Taking taylor expansion of 2 in n 2.118 * [backup-simplify]: Simplify 2 into 2 2.118 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.118 * [taylor]: Taking taylor expansion of n in n 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (/ 1 1) into 1 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.119 * [backup-simplify]: Simplify (- 0) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (- 0) into 0 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.122 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.122 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.122 * [taylor]: Taking taylor expansion of 2 in n 2.122 * [backup-simplify]: Simplify 2 into 2 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.122 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.122 * [taylor]: Taking taylor expansion of n in n 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (* 1 1) into 1 2.123 * [backup-simplify]: Simplify (/ 1 1) into 1 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.125 * [backup-simplify]: Simplify (- 0) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.127 * [backup-simplify]: Simplify (- 0) into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (- 0) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.130 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.130 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.130 * [taylor]: Taking taylor expansion of 2 in n 2.130 * [backup-simplify]: Simplify 2 into 2 2.130 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.130 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.130 * [taylor]: Taking taylor expansion of n in n 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (* 1 1) into 1 2.131 * [backup-simplify]: Simplify (* 1 1) into 1 2.131 * [backup-simplify]: Simplify (/ 1 1) into 1 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (- 0) into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify -1 into -1 2.139 * * * [progress]: simplifying candidates 2.144 * [simplify]: Simplifying: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (expm1 (/ -1 (/ (- f n) (+ f n)))) (log1p (/ -1 (/ (- f n) (+ f n)))) (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ 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3.953 * * [simplify]: Extracting #1: cost 1092 inf + 43 3.961 * * [simplify]: Extracting #2: cost 1370 inf + 8846 3.983 * * [simplify]: Extracting #3: cost 815 inf + 99571 4.045 * * [simplify]: Extracting #4: cost 212 inf + 231941 4.125 * * [simplify]: Extracting #5: cost 38 inf + 278149 4.193 * * [simplify]: Extracting #6: cost 4 inf + 284889 4.261 * * [simplify]: Extracting #7: cost 0 inf + 285900 4.328 * [simplify]: Simplified to: (expm1 (/ (- f n) (+ n f))) (log1p (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (+ (- f) n) (- (+ f n)) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n 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(sqrt n))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (* (sqrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (* (sqrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (/ (* (sqrt -1) (cbrt (+ n f))) (- f n)) (* (sqrt (+ n f)) (sqrt -1)) (* (/ (sqrt -1) (- f n)) (sqrt (+ n f))) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (/ (sqrt -1) (- f n)) (* (sqrt -1) (+ n f)) (/ (* (sqrt -1) (fma (* n n) n (* (* f f) f))) (- f n)) (/ (sqrt -1) (fma n (- n f) (* f f))) (* (/ (* (sqrt -1) (+ n f)) (- f n)) (- f n)) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f 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n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ (fma (* n n) n (* (* f f) f)) (- f n)) (/ -1 (fma n (- n f) (* f f))) (/ (* (+ n f) (- f n)) (- f n)) (/ -1 (- f n)) (/ (+ n f) (- f n)) (/ (- f n) (- (+ f n))) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ (/ -1 (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (- (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)) (/ (- (fma (* n n) n (* (* f f) f))) (- f n)) (/ (- (* (+ n f) (- f n))) (- f n)) (/ (- f n) (* (cbrt -1) (+ n f))) (/ (/ (- f n) (sqrt -1)) (+ n f)) (/ (- f n) (- (+ f n))) (/ -1 (- f n)) -1 1 1 1 -1 -1 4.340 * * * [progress]: adding candidates to table 5.020 * * [progress]: iteration 3 / 4 5.020 * * * [progress]: picking best candidate 5.040 * * * * [pick]: Picked # 5.041 * * * [progress]: localizing error 5.070 * * * [progress]: generating rewritten candidates 5.070 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.071 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 5.089 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.096 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.099 * * * [progress]: generating series expansions 5.099 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.100 * [backup-simplify]: Simplify (expm1 (/ (- f n) (+ f n))) into (expm1 (/ (- f n) (+ n f))) 5.100 * [approximate]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in (f n) around 0 5.100 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in n 5.101 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 5.101 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in n 5.101 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 5.101 * [taylor]: Taking taylor expansion of (- f n) in n 5.101 * [taylor]: Taking taylor expansion of f in n 5.101 * [backup-simplify]: Simplify f into f 5.101 * [taylor]: Taking taylor expansion of n in n 5.101 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify 1 into 1 5.101 * [taylor]: Taking taylor expansion of (+ n f) in n 5.101 * [taylor]: Taking taylor expansion of n in n 5.101 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify 1 into 1 5.101 * [taylor]: Taking taylor expansion of f in n 5.101 * [backup-simplify]: Simplify f into f 5.102 * [backup-simplify]: Simplify (- 0) into 0 5.102 * [backup-simplify]: Simplify (+ f 0) into f 5.102 * [backup-simplify]: Simplify (+ 0 f) into f 5.102 * [backup-simplify]: Simplify (/ f f) into 1 5.102 * [backup-simplify]: Simplify (exp 1) into E 5.102 * [taylor]: Taking taylor expansion of 1 in n 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 5.102 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 5.102 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 5.102 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.102 * [taylor]: Taking taylor expansion of (- f n) in f 5.102 * [taylor]: Taking taylor expansion of f in f 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [taylor]: Taking taylor expansion of n in f 5.102 * [backup-simplify]: Simplify n into n 5.102 * [taylor]: Taking taylor expansion of (+ n f) in f 5.102 * [taylor]: Taking taylor expansion of n in f 5.102 * [backup-simplify]: Simplify n into n 5.102 * [taylor]: Taking taylor expansion of f in f 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [backup-simplify]: Simplify (- n) into (- n) 5.103 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.103 * [backup-simplify]: Simplify (+ n 0) into n 5.103 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.103 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.103 * [taylor]: Taking taylor expansion of 1 in f 5.103 * [backup-simplify]: Simplify 1 into 1 5.103 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 5.103 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 5.103 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 5.103 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.103 * [taylor]: Taking taylor expansion of (- f n) in f 5.103 * [taylor]: Taking taylor expansion of f in f 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 1 into 1 5.103 * [taylor]: Taking taylor expansion of n in f 5.103 * [backup-simplify]: Simplify n into n 5.103 * [taylor]: Taking taylor expansion of (+ n f) in f 5.103 * [taylor]: Taking taylor expansion of n in f 5.103 * [backup-simplify]: Simplify n into n 5.103 * [taylor]: Taking taylor expansion of f in f 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 1 into 1 5.103 * [backup-simplify]: Simplify (- n) into (- n) 5.103 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.103 * [backup-simplify]: Simplify (+ n 0) into n 5.103 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.104 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.104 * [taylor]: Taking taylor expansion of 1 in f 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [backup-simplify]: Simplify (- 1) into -1 5.105 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.105 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 5.105 * [taylor]: Taking taylor expansion of (exp -1) in n 5.105 * [taylor]: Taking taylor expansion of -1 in n 5.105 * [backup-simplify]: Simplify -1 into -1 5.105 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.105 * [taylor]: Taking taylor expansion of 1 in n 5.105 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (- 1) into -1 5.106 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.106 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 5.107 * [backup-simplify]: Simplify (- 0) into 0 5.107 * [backup-simplify]: Simplify (+ 1 0) into 1 5.108 * [backup-simplify]: Simplify (+ 0 1) into 1 5.108 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 5.108 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 5.109 * [backup-simplify]: Simplify (- 0) into 0 5.109 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 5.109 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 5.109 * [taylor]: Taking taylor expansion of 2 in n 5.109 * [backup-simplify]: Simplify 2 into 2 5.109 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 5.109 * [taylor]: Taking taylor expansion of (exp -1) in n 5.109 * [taylor]: Taking taylor expansion of -1 in n 5.109 * [backup-simplify]: Simplify -1 into -1 5.109 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.109 * [taylor]: Taking taylor expansion of n in n 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 5.111 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 5.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 5.112 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 5.113 * [backup-simplify]: Simplify (- 0) into 0 5.114 * [backup-simplify]: Simplify (+ 0 0) into 0 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify (- 0) into 0 5.114 * [backup-simplify]: Simplify (+ 0 0) into 0 5.115 * [backup-simplify]: Simplify (+ 0 0) into 0 5.115 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 5.116 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 5.116 * [backup-simplify]: Simplify (- 0) into 0 5.116 * [backup-simplify]: Simplify (+ 0 0) into 0 5.116 * [taylor]: Taking taylor expansion of 0 in n 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 5.118 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.120 * [backup-simplify]: Simplify (- 0) into 0 5.120 * [backup-simplify]: Simplify (+ 0 0) into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify (- 0) into 0 5.121 * [backup-simplify]: Simplify (+ 0 0) into 0 5.121 * [backup-simplify]: Simplify (+ 0 0) into 0 5.121 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 5.122 * [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))) 5.122 * [backup-simplify]: Simplify (- 0) into 0 5.123 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 5.123 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp -1) (pow n 3)))) in n 5.123 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 5.123 * [taylor]: Taking taylor expansion of 2/3 in n 5.123 * [backup-simplify]: Simplify 2/3 into 2/3 5.123 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 5.123 * [taylor]: Taking taylor expansion of (exp -1) in n 5.123 * [taylor]: Taking taylor expansion of -1 in n 5.123 * [backup-simplify]: Simplify -1 into -1 5.123 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.123 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.123 * [taylor]: Taking taylor expansion of n in n 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 1 into 1 5.123 * [backup-simplify]: Simplify (* 1 1) into 1 5.124 * [backup-simplify]: Simplify (* 1 1) into 1 5.124 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 5.125 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 5.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 5.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.134 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.138 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 5.138 * [backup-simplify]: Simplify (- 0) into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 5.139 * [backup-simplify]: Simplify (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 5.139 * [approximate]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 5.139 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 5.139 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 5.140 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 5.140 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 5.140 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.140 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.140 * [taylor]: Taking taylor expansion of f in n 5.140 * [backup-simplify]: Simplify f into f 5.140 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.140 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.140 * [taylor]: Taking taylor expansion of n in n 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [backup-simplify]: Simplify (/ 1 1) into 1 5.140 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.140 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.140 * [taylor]: Taking taylor expansion of f in n 5.140 * [backup-simplify]: Simplify f into f 5.140 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.140 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.140 * [taylor]: Taking taylor expansion of n in n 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.141 * [backup-simplify]: Simplify (/ 1 1) into 1 5.141 * [backup-simplify]: Simplify (- 1) into -1 5.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.142 * [backup-simplify]: Simplify (+ 0 1) into 1 5.142 * [backup-simplify]: Simplify (/ -1 1) into -1 5.143 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.143 * [taylor]: Taking taylor expansion of 1 in n 5.143 * [backup-simplify]: Simplify 1 into 1 5.143 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.143 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 5.143 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.143 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.143 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.143 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.143 * [taylor]: Taking taylor expansion of f in f 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 1 into 1 5.149 * [backup-simplify]: Simplify (/ 1 1) into 1 5.149 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.149 * [taylor]: Taking taylor expansion of n in f 5.149 * [backup-simplify]: Simplify n into n 5.150 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.150 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.150 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.150 * [taylor]: Taking taylor expansion of f in f 5.150 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify 1 into 1 5.150 * [backup-simplify]: Simplify (/ 1 1) into 1 5.150 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.150 * [taylor]: Taking taylor expansion of n in f 5.150 * [backup-simplify]: Simplify n into n 5.151 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.151 * [backup-simplify]: Simplify (+ 1 0) into 1 5.151 * [backup-simplify]: Simplify (+ 1 0) into 1 5.152 * [backup-simplify]: Simplify (/ 1 1) into 1 5.152 * [backup-simplify]: Simplify (exp 1) into E 5.152 * [taylor]: Taking taylor expansion of 1 in f 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.152 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 5.152 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.152 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.152 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.152 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.152 * [taylor]: Taking taylor expansion of f in f 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.153 * [backup-simplify]: Simplify (/ 1 1) into 1 5.153 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.153 * [taylor]: Taking taylor expansion of n in f 5.153 * [backup-simplify]: Simplify n into n 5.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.153 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.153 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.153 * [taylor]: Taking taylor expansion of f in f 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify 1 into 1 5.153 * [backup-simplify]: Simplify (/ 1 1) into 1 5.153 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.153 * [taylor]: Taking taylor expansion of n in f 5.153 * [backup-simplify]: Simplify n into n 5.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.154 * [backup-simplify]: Simplify (+ 1 0) into 1 5.154 * [backup-simplify]: Simplify (+ 1 0) into 1 5.155 * [backup-simplify]: Simplify (/ 1 1) into 1 5.155 * [backup-simplify]: Simplify (exp 1) into E 5.155 * [taylor]: Taking taylor expansion of 1 in f 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (- 1) into -1 5.156 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.156 * [taylor]: Taking taylor expansion of (- E 1) in n 5.156 * [taylor]: Taking taylor expansion of E in n 5.156 * [backup-simplify]: Simplify E into E 5.156 * [taylor]: Taking taylor expansion of 1 in n 5.156 * [backup-simplify]: Simplify 1 into 1 5.156 * [backup-simplify]: Simplify (- 1) into -1 5.157 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.157 * [backup-simplify]: Simplify (- E 1) into (- E 1) 5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.158 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.158 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 5.159 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 5.159 * [backup-simplify]: Simplify (- 0) into 0 5.159 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 5.159 * [taylor]: Taking taylor expansion of (- (* 2 (/ E n))) in n 5.159 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 5.159 * [taylor]: Taking taylor expansion of 2 in n 5.159 * [backup-simplify]: Simplify 2 into 2 5.159 * [taylor]: Taking taylor expansion of (/ E n) in n 5.159 * [taylor]: Taking taylor expansion of E in n 5.159 * [backup-simplify]: Simplify E into E 5.159 * [taylor]: Taking taylor expansion of n in n 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ E 1) into E 5.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 5.160 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 5.161 * [backup-simplify]: Simplify (- 0) into 0 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify (- 0) into 0 5.161 * [backup-simplify]: Simplify (+ 0 0) into 0 5.161 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.162 * [backup-simplify]: Simplify (- 0) into 0 5.162 * [backup-simplify]: Simplify (+ 0 0) into 0 5.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 5.165 * [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))) 5.165 * [backup-simplify]: Simplify (- 0) into 0 5.165 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 5.165 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 5.165 * [taylor]: Taking taylor expansion of 4 in n 5.165 * [backup-simplify]: Simplify 4 into 4 5.165 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 5.165 * [taylor]: Taking taylor expansion of E in n 5.165 * [backup-simplify]: Simplify E into E 5.165 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.165 * [taylor]: Taking taylor expansion of n in n 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 1 into 1 5.165 * [backup-simplify]: Simplify (* 1 1) into 1 5.166 * [backup-simplify]: Simplify (/ E 1) into E 5.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 5.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.168 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 5.168 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 5.170 * [backup-simplify]: Simplify (- 0) into 0 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify (- 0) into 0 5.170 * [backup-simplify]: Simplify (+ 0 0) into 0 5.170 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.171 * [backup-simplify]: Simplify (- 0) into 0 5.172 * [backup-simplify]: Simplify (+ 0 0) into 0 5.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.172 * [backup-simplify]: Simplify (+ 0 0) into 0 5.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.174 * [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))) 5.174 * [backup-simplify]: Simplify (- 0) into 0 5.175 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 5.175 * [taylor]: Taking taylor expansion of (- (* 22/3 (/ E (pow n 3)))) in n 5.175 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 5.175 * [taylor]: Taking taylor expansion of 22/3 in n 5.175 * [backup-simplify]: Simplify 22/3 into 22/3 5.175 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 5.175 * [taylor]: Taking taylor expansion of E in n 5.175 * [backup-simplify]: Simplify E into E 5.175 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.175 * [taylor]: Taking taylor expansion of n in n 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 1 into 1 5.175 * [backup-simplify]: Simplify (* 1 1) into 1 5.175 * [backup-simplify]: Simplify (* 1 1) into 1 5.176 * [backup-simplify]: Simplify (/ E 1) into E 5.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 5.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 5.181 * [backup-simplify]: Simplify (- 0) into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify (- E 1) into (- E 1) 5.182 * [backup-simplify]: Simplify (expm1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 5.182 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 5.182 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 5.182 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 5.182 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 5.182 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 5.182 * [taylor]: Taking taylor expansion of -1 in n 5.182 * [backup-simplify]: Simplify -1 into -1 5.182 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 5.182 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.182 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.182 * [taylor]: Taking taylor expansion of n in n 5.182 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify 1 into 1 5.182 * [backup-simplify]: Simplify (/ 1 1) into 1 5.182 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.182 * [taylor]: Taking taylor expansion of f in n 5.182 * [backup-simplify]: Simplify f into f 5.183 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.183 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.183 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.183 * [taylor]: Taking taylor expansion of f in n 5.183 * [backup-simplify]: Simplify f into f 5.183 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.183 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.183 * [taylor]: Taking taylor expansion of n in n 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.183 * [backup-simplify]: Simplify (/ 1 1) into 1 5.183 * [backup-simplify]: Simplify (+ 1 0) into 1 5.183 * [backup-simplify]: Simplify (+ 0 1) into 1 5.184 * [backup-simplify]: Simplify (/ 1 1) into 1 5.184 * [backup-simplify]: Simplify (* -1 1) into -1 5.184 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.184 * [taylor]: Taking taylor expansion of 1 in n 5.184 * [backup-simplify]: Simplify 1 into 1 5.184 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.184 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 5.184 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.184 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 5.184 * [taylor]: Taking taylor expansion of -1 in f 5.184 * [backup-simplify]: Simplify -1 into -1 5.184 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 5.184 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.185 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.185 * [taylor]: Taking taylor expansion of n in f 5.185 * [backup-simplify]: Simplify n into n 5.185 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.185 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.185 * [taylor]: Taking taylor expansion of f in f 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 1 into 1 5.185 * [backup-simplify]: Simplify (/ 1 1) into 1 5.185 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.185 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.185 * [taylor]: Taking taylor expansion of f in f 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 1 into 1 5.185 * [backup-simplify]: Simplify (/ 1 1) into 1 5.185 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.185 * [taylor]: Taking taylor expansion of n in f 5.185 * [backup-simplify]: Simplify n into n 5.185 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.186 * [backup-simplify]: Simplify (- 1) into -1 5.186 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.187 * [backup-simplify]: Simplify (+ 1 0) into 1 5.187 * [backup-simplify]: Simplify (/ -1 1) into -1 5.187 * [backup-simplify]: Simplify (* -1 -1) into 1 5.187 * [backup-simplify]: Simplify (exp 1) into E 5.188 * [taylor]: Taking taylor expansion of 1 in f 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.188 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 5.188 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.188 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 5.188 * [taylor]: Taking taylor expansion of -1 in f 5.188 * [backup-simplify]: Simplify -1 into -1 5.188 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 5.188 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.188 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.188 * [taylor]: Taking taylor expansion of n in f 5.188 * [backup-simplify]: Simplify n into n 5.188 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.188 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.188 * [taylor]: Taking taylor expansion of f in f 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.189 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.189 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.189 * [taylor]: Taking taylor expansion of f in f 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.189 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.189 * [taylor]: Taking taylor expansion of n in f 5.189 * [backup-simplify]: Simplify n into n 5.189 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.190 * [backup-simplify]: Simplify (- 1) into -1 5.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.190 * [backup-simplify]: Simplify (+ 1 0) into 1 5.191 * [backup-simplify]: Simplify (/ -1 1) into -1 5.191 * [backup-simplify]: Simplify (* -1 -1) into 1 5.191 * [backup-simplify]: Simplify (exp 1) into E 5.191 * [taylor]: Taking taylor expansion of 1 in f 5.191 * [backup-simplify]: Simplify 1 into 1 5.192 * [backup-simplify]: Simplify (- 1) into -1 5.192 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.192 * [taylor]: Taking taylor expansion of (- E 1) in n 5.192 * [taylor]: Taking taylor expansion of E in n 5.192 * [backup-simplify]: Simplify E into E 5.192 * [taylor]: Taking taylor expansion of 1 in n 5.192 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (- 1) into -1 5.193 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.194 * [backup-simplify]: Simplify (- E 1) into (- E 1) 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (- 0) into 0 5.195 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.196 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.196 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 5.197 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 5.197 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 5.197 * [backup-simplify]: Simplify (- 0) into 0 5.197 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 5.197 * [taylor]: Taking taylor expansion of (- (* 2 (/ E n))) in n 5.198 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 5.198 * [taylor]: Taking taylor expansion of 2 in n 5.198 * [backup-simplify]: Simplify 2 into 2 5.198 * [taylor]: Taking taylor expansion of (/ E n) in n 5.198 * [taylor]: Taking taylor expansion of E in n 5.198 * [backup-simplify]: Simplify E into E 5.198 * [taylor]: Taking taylor expansion of n in n 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [backup-simplify]: Simplify (/ E 1) into E 5.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 5.200 * [backup-simplify]: Simplify (- 0) into 0 5.200 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify (- 0) into 0 5.201 * [backup-simplify]: Simplify (+ 0 0) into 0 5.201 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.203 * [backup-simplify]: Simplify (- 0) into 0 5.203 * [backup-simplify]: Simplify (+ 0 0) into 0 5.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.204 * [backup-simplify]: Simplify (+ 0 0) into 0 5.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.206 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.207 * [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))) 5.207 * [backup-simplify]: Simplify (- 0) into 0 5.208 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 5.208 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 5.208 * [taylor]: Taking taylor expansion of 4 in n 5.208 * [backup-simplify]: Simplify 4 into 4 5.208 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 5.208 * [taylor]: Taking taylor expansion of E in n 5.208 * [backup-simplify]: Simplify E into E 5.208 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.208 * [taylor]: Taking taylor expansion of n in n 5.208 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify 1 into 1 5.208 * [backup-simplify]: Simplify (* 1 1) into 1 5.209 * [backup-simplify]: Simplify (/ E 1) into E 5.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 5.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.213 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 5.213 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 5.215 * [backup-simplify]: Simplify (- 0) into 0 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify (- 0) into 0 5.216 * [backup-simplify]: Simplify (+ 0 0) into 0 5.216 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.218 * [backup-simplify]: Simplify (- 0) into 0 5.218 * [backup-simplify]: Simplify (+ 0 0) into 0 5.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.219 * [backup-simplify]: Simplify (+ 0 0) into 0 5.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 5.221 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.221 * [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))) 5.222 * [backup-simplify]: Simplify (- 0) into 0 5.222 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 5.222 * [taylor]: Taking taylor expansion of (- (* 22/3 (/ E (pow n 3)))) in n 5.222 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 5.222 * [taylor]: Taking taylor expansion of 22/3 in n 5.222 * [backup-simplify]: Simplify 22/3 into 22/3 5.222 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 5.222 * [taylor]: Taking taylor expansion of E in n 5.222 * [backup-simplify]: Simplify E into E 5.222 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.222 * [taylor]: Taking taylor expansion of n in n 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (* 1 1) into 1 5.222 * [backup-simplify]: Simplify (* 1 1) into 1 5.223 * [backup-simplify]: Simplify (/ E 1) into E 5.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 5.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.228 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 5.228 * [backup-simplify]: Simplify (- 0) into 0 5.228 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify (- E 1) into (- E 1) 5.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 5.229 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 5.229 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 5.229 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 5.229 * [taylor]: Taking taylor expansion of (- f n) in n 5.229 * [taylor]: Taking taylor expansion of f in n 5.229 * [backup-simplify]: Simplify f into f 5.229 * [taylor]: Taking taylor expansion of n in n 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 1 into 1 5.229 * [taylor]: Taking taylor expansion of (+ n f) in n 5.229 * [taylor]: Taking taylor expansion of n in n 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 1 into 1 5.229 * [taylor]: Taking taylor expansion of f in n 5.229 * [backup-simplify]: Simplify f into f 5.229 * [backup-simplify]: Simplify (- 0) into 0 5.229 * [backup-simplify]: Simplify (+ f 0) into f 5.229 * [backup-simplify]: Simplify (+ 0 f) into f 5.229 * [backup-simplify]: Simplify (/ f f) into 1 5.229 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.229 * [taylor]: Taking taylor expansion of (- f n) in f 5.230 * [taylor]: Taking taylor expansion of f in f 5.230 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [taylor]: Taking taylor expansion of n in f 5.230 * [backup-simplify]: Simplify n into n 5.230 * [taylor]: Taking taylor expansion of (+ n f) in f 5.230 * [taylor]: Taking taylor expansion of n in f 5.230 * [backup-simplify]: Simplify n into n 5.230 * [taylor]: Taking taylor expansion of f in f 5.230 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [backup-simplify]: Simplify (- n) into (- n) 5.230 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.230 * [backup-simplify]: Simplify (+ n 0) into n 5.230 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.230 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.230 * [taylor]: Taking taylor expansion of (- f n) in f 5.230 * [taylor]: Taking taylor expansion of f in f 5.230 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [taylor]: Taking taylor expansion of n in f 5.230 * [backup-simplify]: Simplify n into n 5.230 * [taylor]: Taking taylor expansion of (+ n f) in f 5.230 * [taylor]: Taking taylor expansion of n in f 5.230 * [backup-simplify]: Simplify n into n 5.230 * [taylor]: Taking taylor expansion of f in f 5.230 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [backup-simplify]: Simplify (- n) into (- n) 5.230 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.230 * [backup-simplify]: Simplify (+ n 0) into n 5.230 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.230 * [taylor]: Taking taylor expansion of -1 in n 5.230 * [backup-simplify]: Simplify -1 into -1 5.230 * [backup-simplify]: Simplify -1 into -1 5.230 * [backup-simplify]: Simplify (- 0) into 0 5.231 * [backup-simplify]: Simplify (+ 1 0) into 1 5.231 * [backup-simplify]: Simplify (+ 0 1) into 1 5.231 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 5.231 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.231 * [taylor]: Taking taylor expansion of 2 in n 5.231 * [backup-simplify]: Simplify 2 into 2 5.231 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.231 * [taylor]: Taking taylor expansion of n in n 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [backup-simplify]: Simplify (/ 1 1) into 1 5.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.232 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify (- 0) into 0 5.233 * [backup-simplify]: Simplify (+ 0 0) into 0 5.233 * [backup-simplify]: Simplify (+ 0 0) into 0 5.233 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 5.233 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.233 * [taylor]: Taking taylor expansion of 2 in n 5.233 * [backup-simplify]: Simplify 2 into 2 5.233 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.233 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.233 * [taylor]: Taking taylor expansion of n in n 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.234 * [backup-simplify]: Simplify (* 1 1) into 1 5.234 * [backup-simplify]: Simplify (/ 1 1) into 1 5.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.237 * [backup-simplify]: Simplify (- 0) into 0 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.238 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify (- 0) into 0 5.238 * [backup-simplify]: Simplify (+ 0 0) into 0 5.238 * [backup-simplify]: Simplify (+ 0 0) into 0 5.239 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 5.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.239 * [taylor]: Taking taylor expansion of 2 in n 5.239 * [backup-simplify]: Simplify 2 into 2 5.239 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.239 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.239 * [taylor]: Taking taylor expansion of n in n 5.239 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify (* 1 1) into 1 5.239 * [backup-simplify]: Simplify (* 1 1) into 1 5.240 * [backup-simplify]: Simplify (/ 1 1) into 1 5.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.245 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify -1 into -1 5.245 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 5.245 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 5.245 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 5.245 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.245 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.245 * [taylor]: Taking taylor expansion of f in n 5.245 * [backup-simplify]: Simplify f into f 5.245 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.245 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.245 * [taylor]: Taking taylor expansion of n in n 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 1 into 1 5.245 * [backup-simplify]: Simplify (/ 1 1) into 1 5.245 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.245 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.246 * [taylor]: Taking taylor expansion of f in n 5.246 * [backup-simplify]: Simplify f into f 5.246 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.246 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.246 * [taylor]: Taking taylor expansion of n in n 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 1 into 1 5.246 * [backup-simplify]: Simplify (/ 1 1) into 1 5.246 * [backup-simplify]: Simplify (- 1) into -1 5.246 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.247 * [backup-simplify]: Simplify (+ 0 1) into 1 5.247 * [backup-simplify]: Simplify (/ -1 1) into -1 5.247 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.247 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.247 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.247 * [taylor]: Taking taylor expansion of f in f 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.247 * [backup-simplify]: Simplify (/ 1 1) into 1 5.247 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.247 * [taylor]: Taking taylor expansion of n in f 5.247 * [backup-simplify]: Simplify n into n 5.247 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.247 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.247 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.247 * [taylor]: Taking taylor expansion of f in f 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.248 * [backup-simplify]: Simplify (/ 1 1) into 1 5.248 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.248 * [taylor]: Taking taylor expansion of n in f 5.248 * [backup-simplify]: Simplify n into n 5.248 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.248 * [backup-simplify]: Simplify (+ 1 0) into 1 5.248 * [backup-simplify]: Simplify (+ 1 0) into 1 5.249 * [backup-simplify]: Simplify (/ 1 1) into 1 5.249 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.249 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.249 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.249 * [taylor]: Taking taylor expansion of f in f 5.249 * [backup-simplify]: Simplify 0 into 0 5.249 * [backup-simplify]: Simplify 1 into 1 5.249 * [backup-simplify]: Simplify (/ 1 1) into 1 5.249 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.249 * [taylor]: Taking taylor expansion of n in f 5.249 * [backup-simplify]: Simplify n into n 5.249 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.249 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.249 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.249 * [taylor]: Taking taylor expansion of f in f 5.249 * [backup-simplify]: Simplify 0 into 0 5.249 * [backup-simplify]: Simplify 1 into 1 5.250 * [backup-simplify]: Simplify (/ 1 1) into 1 5.250 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.250 * [taylor]: Taking taylor expansion of n in f 5.250 * [backup-simplify]: Simplify n into n 5.250 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.250 * [backup-simplify]: Simplify (+ 1 0) into 1 5.251 * [backup-simplify]: Simplify (+ 1 0) into 1 5.251 * [backup-simplify]: Simplify (/ 1 1) into 1 5.251 * [taylor]: Taking taylor expansion of 1 in n 5.251 * [backup-simplify]: Simplify 1 into 1 5.251 * [backup-simplify]: Simplify 1 into 1 5.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.252 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.252 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.253 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.253 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 5.253 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.253 * [taylor]: Taking taylor expansion of 2 in n 5.253 * [backup-simplify]: Simplify 2 into 2 5.253 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.253 * [taylor]: Taking taylor expansion of n in n 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.254 * [backup-simplify]: Simplify (/ 1 1) into 1 5.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.255 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.256 * [backup-simplify]: Simplify (- 0) into 0 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.262 * [backup-simplify]: Simplify (- 0) into 0 5.262 * [backup-simplify]: Simplify (+ 0 0) into 0 5.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.264 * [backup-simplify]: Simplify (+ 0 0) into 0 5.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 5.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.265 * [taylor]: Taking taylor expansion of 2 in n 5.265 * [backup-simplify]: Simplify 2 into 2 5.265 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.265 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.265 * [taylor]: Taking taylor expansion of n in n 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [backup-simplify]: Simplify (* 1 1) into 1 5.266 * [backup-simplify]: Simplify (/ 1 1) into 1 5.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.268 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.270 * [backup-simplify]: Simplify (- 0) into 0 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.270 * [backup-simplify]: Simplify (- 0) into 0 5.271 * [backup-simplify]: Simplify (+ 0 0) into 0 5.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.272 * [backup-simplify]: Simplify (+ 0 0) into 0 5.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.273 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.273 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.273 * [taylor]: Taking taylor expansion of 2 in n 5.273 * [backup-simplify]: Simplify 2 into 2 5.273 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.273 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.273 * [taylor]: Taking taylor expansion of n in n 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify 1 into 1 5.273 * [backup-simplify]: Simplify (* 1 1) into 1 5.273 * [backup-simplify]: Simplify (* 1 1) into 1 5.274 * [backup-simplify]: Simplify (/ 1 1) into 1 5.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.279 * [backup-simplify]: Simplify (- 0) into 0 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify 1 into 1 5.279 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 5.279 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 5.279 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 5.279 * [taylor]: Taking taylor expansion of -1 in n 5.279 * [backup-simplify]: Simplify -1 into -1 5.279 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 5.279 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.279 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.279 * [taylor]: Taking taylor expansion of n in n 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify 1 into 1 5.279 * [backup-simplify]: Simplify (/ 1 1) into 1 5.280 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.280 * [taylor]: Taking taylor expansion of f in n 5.280 * [backup-simplify]: Simplify f into f 5.280 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.280 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.280 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.280 * [taylor]: Taking taylor expansion of f in n 5.280 * [backup-simplify]: Simplify f into f 5.280 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.280 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.280 * [taylor]: Taking taylor expansion of n in n 5.280 * [backup-simplify]: Simplify 0 into 0 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify (/ 1 1) into 1 5.280 * [backup-simplify]: Simplify (+ 1 0) into 1 5.281 * [backup-simplify]: Simplify (+ 0 1) into 1 5.281 * [backup-simplify]: Simplify (/ 1 1) into 1 5.281 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 5.281 * [taylor]: Taking taylor expansion of -1 in f 5.281 * [backup-simplify]: Simplify -1 into -1 5.281 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 5.281 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.281 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.281 * [taylor]: Taking taylor expansion of n in f 5.281 * [backup-simplify]: Simplify n into n 5.281 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.281 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.281 * [taylor]: Taking taylor expansion of f in f 5.281 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify 1 into 1 5.281 * [backup-simplify]: Simplify (/ 1 1) into 1 5.281 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.281 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.281 * [taylor]: Taking taylor expansion of f in f 5.281 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify 1 into 1 5.282 * [backup-simplify]: Simplify (/ 1 1) into 1 5.282 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.282 * [taylor]: Taking taylor expansion of n in f 5.282 * [backup-simplify]: Simplify n into n 5.282 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.282 * [backup-simplify]: Simplify (- 1) into -1 5.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.283 * [backup-simplify]: Simplify (+ 1 0) into 1 5.283 * [backup-simplify]: Simplify (/ -1 1) into -1 5.283 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 5.283 * [taylor]: Taking taylor expansion of -1 in f 5.283 * [backup-simplify]: Simplify -1 into -1 5.283 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 5.283 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.283 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.283 * [taylor]: Taking taylor expansion of n in f 5.283 * [backup-simplify]: Simplify n into n 5.283 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.283 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.283 * [taylor]: Taking taylor expansion of f in f 5.283 * [backup-simplify]: Simplify 0 into 0 5.283 * [backup-simplify]: Simplify 1 into 1 5.283 * [backup-simplify]: Simplify (/ 1 1) into 1 5.284 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.284 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.284 * [taylor]: Taking taylor expansion of f in f 5.284 * [backup-simplify]: Simplify 0 into 0 5.284 * [backup-simplify]: Simplify 1 into 1 5.284 * [backup-simplify]: Simplify (/ 1 1) into 1 5.284 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.284 * [taylor]: Taking taylor expansion of n in f 5.284 * [backup-simplify]: Simplify n into n 5.284 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.284 * [backup-simplify]: Simplify (- 1) into -1 5.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.285 * [backup-simplify]: Simplify (+ 1 0) into 1 5.285 * [backup-simplify]: Simplify (/ -1 1) into -1 5.285 * [backup-simplify]: Simplify (* -1 -1) into 1 5.285 * [taylor]: Taking taylor expansion of 1 in n 5.285 * [backup-simplify]: Simplify 1 into 1 5.285 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.287 * [backup-simplify]: Simplify (- 0) into 0 5.287 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.287 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.288 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 5.288 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 5.288 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.288 * [taylor]: Taking taylor expansion of 2 in n 5.288 * [backup-simplify]: Simplify 2 into 2 5.288 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.288 * [taylor]: Taking taylor expansion of n in n 5.288 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify 1 into 1 5.289 * [backup-simplify]: Simplify (/ 1 1) into 1 5.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.290 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.291 * [backup-simplify]: Simplify (- 0) into 0 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.292 * [backup-simplify]: Simplify (- 0) into 0 5.293 * [backup-simplify]: Simplify (+ 0 0) into 0 5.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.294 * [backup-simplify]: Simplify (+ 0 0) into 0 5.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.296 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.296 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.296 * [taylor]: Taking taylor expansion of 2 in n 5.296 * [backup-simplify]: Simplify 2 into 2 5.296 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.296 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.296 * [taylor]: Taking taylor expansion of n in n 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 1 into 1 5.296 * [backup-simplify]: Simplify (* 1 1) into 1 5.297 * [backup-simplify]: Simplify (/ 1 1) into 1 5.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.301 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.303 * [backup-simplify]: Simplify (- 0) into 0 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.305 * [backup-simplify]: Simplify (- 0) into 0 5.305 * [backup-simplify]: Simplify (+ 0 0) into 0 5.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.307 * [backup-simplify]: Simplify (+ 0 0) into 0 5.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 5.310 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.310 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.310 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.310 * [taylor]: Taking taylor expansion of 2 in n 5.310 * [backup-simplify]: Simplify 2 into 2 5.310 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.310 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.310 * [taylor]: Taking taylor expansion of n in n 5.310 * [backup-simplify]: Simplify 0 into 0 5.310 * [backup-simplify]: Simplify 1 into 1 5.311 * [backup-simplify]: Simplify (* 1 1) into 1 5.311 * [backup-simplify]: Simplify (* 1 1) into 1 5.311 * [backup-simplify]: Simplify (/ 1 1) into 1 5.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (- 0) into 0 5.320 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify 1 into 1 5.320 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.321 * [backup-simplify]: Simplify (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))) into (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) 5.321 * [approximate]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in (f n) around 0 5.321 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in n 5.321 * [taylor]: Taking taylor expansion of -1 in n 5.321 * [backup-simplify]: Simplify -1 into -1 5.321 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in n 5.321 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 5.321 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in n 5.321 * [taylor]: Taking taylor expansion of 1 in n 5.321 * [backup-simplify]: Simplify 1 into 1 5.321 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in n 5.321 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 5.321 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in n 5.321 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 5.321 * [taylor]: Taking taylor expansion of (- f n) in n 5.321 * [taylor]: Taking taylor expansion of f in n 5.321 * [backup-simplify]: Simplify f into f 5.321 * [taylor]: Taking taylor expansion of n in n 5.321 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify 1 into 1 5.321 * [taylor]: Taking taylor expansion of (+ n f) in n 5.321 * [taylor]: Taking taylor expansion of n in n 5.321 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify 1 into 1 5.321 * [taylor]: Taking taylor expansion of f in n 5.321 * [backup-simplify]: Simplify f into f 5.322 * [backup-simplify]: Simplify (- 0) into 0 5.322 * [backup-simplify]: Simplify (+ f 0) into f 5.322 * [backup-simplify]: Simplify (+ 0 f) into f 5.322 * [backup-simplify]: Simplify (/ f f) into 1 5.322 * [backup-simplify]: Simplify (exp 1) into E 5.322 * [taylor]: Taking taylor expansion of 1 in n 5.322 * [backup-simplify]: Simplify 1 into 1 5.322 * [backup-simplify]: Simplify (- 1) into -1 5.323 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.324 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.324 * [backup-simplify]: Simplify (log E) into 1 5.325 * [backup-simplify]: Simplify (/ -1 1) into -1 5.325 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in f 5.325 * [taylor]: Taking taylor expansion of -1 in f 5.325 * [backup-simplify]: Simplify -1 into -1 5.325 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 5.325 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 5.325 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 5.325 * [taylor]: Taking taylor expansion of 1 in f 5.325 * [backup-simplify]: Simplify 1 into 1 5.325 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 5.325 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 5.325 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 5.325 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.325 * [taylor]: Taking taylor expansion of (- f n) in f 5.325 * [taylor]: Taking taylor expansion of f in f 5.325 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify 1 into 1 5.325 * [taylor]: Taking taylor expansion of n in f 5.325 * [backup-simplify]: Simplify n into n 5.325 * [taylor]: Taking taylor expansion of (+ n f) in f 5.325 * [taylor]: Taking taylor expansion of n in f 5.325 * [backup-simplify]: Simplify n into n 5.325 * [taylor]: Taking taylor expansion of f in f 5.325 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify 1 into 1 5.325 * [backup-simplify]: Simplify (- n) into (- n) 5.325 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.325 * [backup-simplify]: Simplify (+ n 0) into n 5.326 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.326 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.326 * [taylor]: Taking taylor expansion of 1 in f 5.326 * [backup-simplify]: Simplify 1 into 1 5.326 * [backup-simplify]: Simplify (- 1) into -1 5.327 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.328 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.329 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.330 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.330 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- f n) (+ n f))))) in f 5.330 * [taylor]: Taking taylor expansion of -1 in f 5.330 * [backup-simplify]: Simplify -1 into -1 5.330 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 5.330 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 5.330 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 5.330 * [taylor]: Taking taylor expansion of 1 in f 5.330 * [backup-simplify]: Simplify 1 into 1 5.330 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 5.330 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 5.330 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 5.330 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.330 * [taylor]: Taking taylor expansion of (- f n) in f 5.330 * [taylor]: Taking taylor expansion of f in f 5.330 * [backup-simplify]: Simplify 0 into 0 5.330 * [backup-simplify]: Simplify 1 into 1 5.330 * [taylor]: Taking taylor expansion of n in f 5.330 * [backup-simplify]: Simplify n into n 5.330 * [taylor]: Taking taylor expansion of (+ n f) in f 5.330 * [taylor]: Taking taylor expansion of n in f 5.330 * [backup-simplify]: Simplify n into n 5.330 * [taylor]: Taking taylor expansion of f in f 5.330 * [backup-simplify]: Simplify 0 into 0 5.330 * [backup-simplify]: Simplify 1 into 1 5.330 * [backup-simplify]: Simplify (- n) into (- n) 5.330 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.331 * [backup-simplify]: Simplify (+ n 0) into n 5.331 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.331 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.331 * [taylor]: Taking taylor expansion of 1 in f 5.331 * [backup-simplify]: Simplify 1 into 1 5.331 * [backup-simplify]: Simplify (- 1) into -1 5.332 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.334 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.334 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.335 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.335 * [taylor]: Taking taylor expansion of 1 in n 5.335 * [backup-simplify]: Simplify 1 into 1 5.335 * [backup-simplify]: Simplify 1 into 1 5.336 * [backup-simplify]: Simplify (- 0) into 0 5.336 * [backup-simplify]: Simplify (+ 1 0) into 1 5.336 * [backup-simplify]: Simplify (+ 0 1) into 1 5.337 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 5.337 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 5.337 * [backup-simplify]: Simplify (- 0) into 0 5.338 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 5.338 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 5.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 5.340 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 2 n) -1)))) into (* 2 (/ 1 n)) 5.340 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.340 * [taylor]: Taking taylor expansion of 2 in n 5.340 * [backup-simplify]: Simplify 2 into 2 5.341 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.341 * [taylor]: Taking taylor expansion of n in n 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.341 * [backup-simplify]: Simplify (/ 1 1) into 1 5.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.342 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify (- 0) into 0 5.344 * [backup-simplify]: Simplify (+ 0 0) into 0 5.344 * [backup-simplify]: Simplify (+ 0 0) into 0 5.344 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 5.345 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 5.346 * [backup-simplify]: Simplify (- 0) into 0 5.346 * [backup-simplify]: Simplify (+ 0 0) into 0 5.346 * [backup-simplify]: Simplify (+ 0 0) into 0 5.348 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 5.348 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ -2 (pow n 2)) -1)) (* (* 2 (/ 1 n)) (/ (/ 2 n) -1)))) into (* 2 (/ 1 (pow n 2))) 5.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.348 * [taylor]: Taking taylor expansion of 2 in n 5.348 * [backup-simplify]: Simplify 2 into 2 5.348 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.348 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.348 * [taylor]: Taking taylor expansion of n in n 5.348 * [backup-simplify]: Simplify 0 into 0 5.348 * [backup-simplify]: Simplify 1 into 1 5.349 * [backup-simplify]: Simplify (* 1 1) into 1 5.349 * [backup-simplify]: Simplify (/ 1 1) into 1 5.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.351 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.352 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify (- 0) into 0 5.353 * [backup-simplify]: Simplify (+ 0 0) into 0 5.353 * [backup-simplify]: Simplify (+ 0 0) into 0 5.354 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 5.354 * [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))) 5.355 * [backup-simplify]: Simplify (- 0) into 0 5.355 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 5.355 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 5.359 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 5.360 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 2 (pow n 3)) -1)) (* (* 2 (/ 1 n)) (/ (/ -2 (pow n 2)) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 2 n) -1)))) into (* 2 (/ 1 (pow n 3))) 5.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.360 * [taylor]: Taking taylor expansion of 2 in n 5.360 * [backup-simplify]: Simplify 2 into 2 5.360 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.360 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.360 * [taylor]: Taking taylor expansion of n in n 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 1 into 1 5.360 * [backup-simplify]: Simplify (* 1 1) into 1 5.361 * [backup-simplify]: Simplify (* 1 1) into 1 5.361 * [backup-simplify]: Simplify (/ 1 1) into 1 5.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.366 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.366 * [backup-simplify]: Simplify 0 into 0 5.366 * [backup-simplify]: Simplify 1 into 1 5.366 * [backup-simplify]: Simplify (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) into (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 5.366 * [approximate]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in (f n) around 0 5.366 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 5.366 * [taylor]: Taking taylor expansion of -1 in n 5.366 * [backup-simplify]: Simplify -1 into -1 5.366 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 5.366 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 5.366 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 5.366 * [taylor]: Taking taylor expansion of 1 in n 5.366 * [backup-simplify]: Simplify 1 into 1 5.366 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 5.367 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 5.367 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 5.367 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 5.367 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.367 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.367 * [taylor]: Taking taylor expansion of f in n 5.367 * [backup-simplify]: Simplify f into f 5.367 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.367 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.367 * [taylor]: Taking taylor expansion of n in n 5.367 * [backup-simplify]: Simplify 0 into 0 5.367 * [backup-simplify]: Simplify 1 into 1 5.367 * [backup-simplify]: Simplify (/ 1 1) into 1 5.367 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.367 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.367 * [taylor]: Taking taylor expansion of f in n 5.367 * [backup-simplify]: Simplify f into f 5.367 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.367 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.367 * [taylor]: Taking taylor expansion of n in n 5.367 * [backup-simplify]: Simplify 0 into 0 5.367 * [backup-simplify]: Simplify 1 into 1 5.367 * [backup-simplify]: Simplify (/ 1 1) into 1 5.368 * [backup-simplify]: Simplify (- 1) into -1 5.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.368 * [backup-simplify]: Simplify (+ 0 1) into 1 5.368 * [backup-simplify]: Simplify (/ -1 1) into -1 5.369 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.369 * [taylor]: Taking taylor expansion of 1 in n 5.369 * [backup-simplify]: Simplify 1 into 1 5.369 * [backup-simplify]: Simplify (- 1) into -1 5.369 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.370 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.374 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.375 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.375 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 5.375 * [taylor]: Taking taylor expansion of -1 in f 5.375 * [backup-simplify]: Simplify -1 into -1 5.375 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 5.375 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 5.375 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 5.375 * [taylor]: Taking taylor expansion of 1 in f 5.375 * [backup-simplify]: Simplify 1 into 1 5.375 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.375 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 5.375 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.375 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.375 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.375 * [taylor]: Taking taylor expansion of f in f 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify 1 into 1 5.375 * [backup-simplify]: Simplify (/ 1 1) into 1 5.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.376 * [taylor]: Taking taylor expansion of n in f 5.376 * [backup-simplify]: Simplify n into n 5.376 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.376 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.376 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.376 * [taylor]: Taking taylor expansion of f in f 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 1 into 1 5.376 * [backup-simplify]: Simplify (/ 1 1) into 1 5.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.376 * [taylor]: Taking taylor expansion of n in f 5.376 * [backup-simplify]: Simplify n into n 5.376 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.376 * [backup-simplify]: Simplify (+ 1 0) into 1 5.377 * [backup-simplify]: Simplify (+ 1 0) into 1 5.377 * [backup-simplify]: Simplify (/ 1 1) into 1 5.377 * [backup-simplify]: Simplify (exp 1) into E 5.377 * [taylor]: Taking taylor expansion of 1 in f 5.377 * [backup-simplify]: Simplify 1 into 1 5.377 * [backup-simplify]: Simplify (- 1) into -1 5.377 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.378 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.378 * [backup-simplify]: Simplify (log E) into 1 5.378 * [backup-simplify]: Simplify (/ -1 1) into -1 5.378 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 5.378 * [taylor]: Taking taylor expansion of -1 in f 5.378 * [backup-simplify]: Simplify -1 into -1 5.378 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 5.379 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 5.379 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 5.379 * [taylor]: Taking taylor expansion of 1 in f 5.379 * [backup-simplify]: Simplify 1 into 1 5.379 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.379 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 5.379 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.379 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.379 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.379 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.379 * [taylor]: Taking taylor expansion of f in f 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.379 * [backup-simplify]: Simplify (/ 1 1) into 1 5.379 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.379 * [taylor]: Taking taylor expansion of n in f 5.379 * [backup-simplify]: Simplify n into n 5.379 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.379 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.379 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.379 * [taylor]: Taking taylor expansion of f in f 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.379 * [backup-simplify]: Simplify (/ 1 1) into 1 5.379 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.379 * [taylor]: Taking taylor expansion of n in f 5.379 * [backup-simplify]: Simplify n into n 5.380 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.380 * [backup-simplify]: Simplify (+ 1 0) into 1 5.380 * [backup-simplify]: Simplify (+ 1 0) into 1 5.380 * [backup-simplify]: Simplify (/ 1 1) into 1 5.380 * [backup-simplify]: Simplify (exp 1) into E 5.380 * [taylor]: Taking taylor expansion of 1 in f 5.380 * [backup-simplify]: Simplify 1 into 1 5.381 * [backup-simplify]: Simplify (- 1) into -1 5.381 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.382 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.382 * [backup-simplify]: Simplify (log E) into 1 5.382 * [backup-simplify]: Simplify (/ -1 1) into -1 5.382 * [taylor]: Taking taylor expansion of -1 in n 5.382 * [backup-simplify]: Simplify -1 into -1 5.382 * [backup-simplify]: Simplify -1 into -1 5.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.383 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.383 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.383 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.383 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 5.383 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 5.384 * [backup-simplify]: Simplify (- 0) into 0 5.384 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 5.384 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ E n)))) into (- (* 2 (/ E n))) 5.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1)) (pow E 1)))) 1) into (/ -2 n) 5.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ -2 n) 1)))) into (- (* 2 (/ 1 n))) 5.385 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.385 * [taylor]: Taking taylor expansion of 2 in n 5.385 * [backup-simplify]: Simplify 2 into 2 5.385 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.385 * [taylor]: Taking taylor expansion of n in n 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.385 * [backup-simplify]: Simplify (/ 1 1) into 1 5.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.386 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.386 * [backup-simplify]: Simplify (- 0) into 0 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.387 * [backup-simplify]: Simplify (- 0) into 0 5.387 * [backup-simplify]: Simplify (+ 0 0) into 0 5.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.388 * [backup-simplify]: Simplify (+ 0 0) into 0 5.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 5.389 * [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))) 5.390 * [backup-simplify]: Simplify (- 0) into 0 5.390 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 5.390 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 5.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 5.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 2 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (/ -2 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.392 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.392 * [taylor]: Taking taylor expansion of 2 in n 5.392 * [backup-simplify]: Simplify 2 into 2 5.392 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.392 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.392 * [taylor]: Taking taylor expansion of n in n 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify 1 into 1 5.392 * [backup-simplify]: Simplify (* 1 1) into 1 5.392 * [backup-simplify]: Simplify (/ 1 1) into 1 5.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.395 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.395 * [backup-simplify]: Simplify (- 0) into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.396 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.396 * [backup-simplify]: Simplify (- 0) into 0 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.397 * [backup-simplify]: Simplify (- 0) into 0 5.397 * [backup-simplify]: Simplify (+ 0 0) into 0 5.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.399 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.401 * [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))) 5.402 * [backup-simplify]: Simplify (- 0) into 0 5.402 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 5.402 * [backup-simplify]: Simplify (+ 0 (- (* 22/3 (/ E (pow n 3))))) into (- (* 22/3 (/ E (pow n 3)))) 5.405 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 22/3 (/ E (pow n 3))))) 1)) (pow E 1)))) 6) into (/ -2 (pow n 3)) 5.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ -2 (pow n 3)) 1)) (* (- (* 2 (/ 1 n))) (/ (/ 2 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ -2 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.406 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.406 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.406 * [taylor]: Taking taylor expansion of 2 in n 5.406 * [backup-simplify]: Simplify 2 into 2 5.406 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.406 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.406 * [taylor]: Taking taylor expansion of n in n 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (* 1 1) into 1 5.407 * [backup-simplify]: Simplify (* 1 1) into 1 5.408 * [backup-simplify]: Simplify (/ 1 1) into 1 5.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.416 * [backup-simplify]: Simplify (- 0) into 0 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify -1 into -1 5.417 * [backup-simplify]: Simplify (/ -1 (log1p (expm1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))))) into (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 5.417 * [approximate]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in (f n) around 0 5.417 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in n 5.417 * [taylor]: Taking taylor expansion of -1 in n 5.417 * [backup-simplify]: Simplify -1 into -1 5.417 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 5.417 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 5.417 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 5.417 * [taylor]: Taking taylor expansion of 1 in n 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 5.417 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 5.417 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 5.417 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 5.417 * [taylor]: Taking taylor expansion of -1 in n 5.417 * [backup-simplify]: Simplify -1 into -1 5.417 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 5.417 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.417 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.417 * [taylor]: Taking taylor expansion of n in n 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify 1 into 1 5.418 * [backup-simplify]: Simplify (/ 1 1) into 1 5.418 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.418 * [taylor]: Taking taylor expansion of f in n 5.418 * [backup-simplify]: Simplify f into f 5.418 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.418 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.418 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.418 * [taylor]: Taking taylor expansion of f in n 5.418 * [backup-simplify]: Simplify f into f 5.418 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.418 * [taylor]: Taking taylor expansion of n in n 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify 1 into 1 5.419 * [backup-simplify]: Simplify (/ 1 1) into 1 5.419 * [backup-simplify]: Simplify (+ 1 0) into 1 5.420 * [backup-simplify]: Simplify (+ 0 1) into 1 5.420 * [backup-simplify]: Simplify (/ 1 1) into 1 5.420 * [backup-simplify]: Simplify (* -1 1) into -1 5.421 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.421 * [taylor]: Taking taylor expansion of 1 in n 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [backup-simplify]: Simplify (- 1) into -1 5.422 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.423 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.424 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.425 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.425 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in f 5.425 * [taylor]: Taking taylor expansion of -1 in f 5.425 * [backup-simplify]: Simplify -1 into -1 5.425 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 5.425 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 5.425 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 5.425 * [taylor]: Taking taylor expansion of 1 in f 5.425 * [backup-simplify]: Simplify 1 into 1 5.425 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.425 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 5.425 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.425 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 5.425 * [taylor]: Taking taylor expansion of -1 in f 5.425 * [backup-simplify]: Simplify -1 into -1 5.425 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 5.425 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.425 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.425 * [taylor]: Taking taylor expansion of n in f 5.425 * [backup-simplify]: Simplify n into n 5.425 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.425 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.426 * [taylor]: Taking taylor expansion of f in f 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 1 into 1 5.426 * [backup-simplify]: Simplify (/ 1 1) into 1 5.426 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.426 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.426 * [taylor]: Taking taylor expansion of f in f 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 1 into 1 5.426 * [backup-simplify]: Simplify (/ 1 1) into 1 5.426 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.426 * [taylor]: Taking taylor expansion of n in f 5.426 * [backup-simplify]: Simplify n into n 5.426 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.427 * [backup-simplify]: Simplify (- 1) into -1 5.427 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.427 * [backup-simplify]: Simplify (+ 1 0) into 1 5.427 * [backup-simplify]: Simplify (/ -1 1) into -1 5.428 * [backup-simplify]: Simplify (* -1 -1) into 1 5.428 * [backup-simplify]: Simplify (exp 1) into E 5.428 * [taylor]: Taking taylor expansion of 1 in f 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [backup-simplify]: Simplify (- 1) into -1 5.428 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.429 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.429 * [backup-simplify]: Simplify (log E) into 1 5.429 * [backup-simplify]: Simplify (/ -1 1) into -1 5.429 * [taylor]: Taking taylor expansion of (/ -1 (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) in f 5.429 * [taylor]: Taking taylor expansion of -1 in f 5.429 * [backup-simplify]: Simplify -1 into -1 5.429 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 5.429 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 5.429 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 5.429 * [taylor]: Taking taylor expansion of 1 in f 5.429 * [backup-simplify]: Simplify 1 into 1 5.429 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.429 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 5.429 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.429 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 5.429 * [taylor]: Taking taylor expansion of -1 in f 5.430 * [backup-simplify]: Simplify -1 into -1 5.430 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 5.430 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.430 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.430 * [taylor]: Taking taylor expansion of n in f 5.430 * [backup-simplify]: Simplify n into n 5.430 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.430 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.430 * [taylor]: Taking taylor expansion of f in f 5.430 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify 1 into 1 5.430 * [backup-simplify]: Simplify (/ 1 1) into 1 5.430 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.430 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.430 * [taylor]: Taking taylor expansion of f in f 5.430 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify 1 into 1 5.430 * [backup-simplify]: Simplify (/ 1 1) into 1 5.430 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.430 * [taylor]: Taking taylor expansion of n in f 5.430 * [backup-simplify]: Simplify n into n 5.430 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.431 * [backup-simplify]: Simplify (- 1) into -1 5.431 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.431 * [backup-simplify]: Simplify (+ 1 0) into 1 5.431 * [backup-simplify]: Simplify (/ -1 1) into -1 5.432 * [backup-simplify]: Simplify (* -1 -1) into 1 5.432 * [backup-simplify]: Simplify (exp 1) into E 5.432 * [taylor]: Taking taylor expansion of 1 in f 5.432 * [backup-simplify]: Simplify 1 into 1 5.432 * [backup-simplify]: Simplify (- 1) into -1 5.432 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.433 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.433 * [backup-simplify]: Simplify (log E) into 1 5.433 * [backup-simplify]: Simplify (/ -1 1) into -1 5.433 * [taylor]: Taking taylor expansion of -1 in n 5.433 * [backup-simplify]: Simplify -1 into -1 5.433 * [backup-simplify]: Simplify -1 into -1 5.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.434 * [backup-simplify]: Simplify (- 0) into 0 5.434 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.435 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.435 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 5.435 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 5.435 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 5.436 * [backup-simplify]: Simplify (- 0) into 0 5.436 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 5.436 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ E n)))) into (- (* 2 (/ E n))) 5.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1)) (pow E 1)))) 1) into (/ -2 n) 5.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ -2 n) 1)))) into (- (* 2 (/ 1 n))) 5.437 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.437 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.437 * [taylor]: Taking taylor expansion of 2 in n 5.437 * [backup-simplify]: Simplify 2 into 2 5.437 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.437 * [taylor]: Taking taylor expansion of n in n 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (/ 1 1) into 1 5.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.438 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.438 * [backup-simplify]: Simplify (- 0) into 0 5.438 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.439 * [backup-simplify]: Simplify (- 0) into 0 5.439 * [backup-simplify]: Simplify (+ 0 0) into 0 5.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.440 * [backup-simplify]: Simplify (+ 0 0) into 0 5.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.442 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.442 * [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))) 5.442 * [backup-simplify]: Simplify (- 0) into 0 5.442 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 5.442 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 5.443 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 5.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 2 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (/ -2 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.444 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.444 * [taylor]: Taking taylor expansion of 2 in n 5.444 * [backup-simplify]: Simplify 2 into 2 5.444 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.444 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.444 * [taylor]: Taking taylor expansion of n in n 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify 1 into 1 5.444 * [backup-simplify]: Simplify (* 1 1) into 1 5.445 * [backup-simplify]: Simplify (/ 1 1) into 1 5.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.447 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.447 * [backup-simplify]: Simplify (- 0) into 0 5.447 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.449 * [backup-simplify]: Simplify (- 0) into 0 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.450 * [backup-simplify]: Simplify (- 0) into 0 5.450 * [backup-simplify]: Simplify (+ 0 0) into 0 5.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.451 * [backup-simplify]: Simplify (+ 0 0) into 0 5.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 5.452 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.453 * [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))) 5.453 * [backup-simplify]: Simplify (- 0) into 0 5.454 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 5.454 * [backup-simplify]: Simplify (+ 0 (- (* 22/3 (/ E (pow n 3))))) into (- (* 22/3 (/ E (pow n 3)))) 5.456 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 22/3 (/ E (pow n 3))))) 1)) (pow E 1)))) 6) into (/ -2 (pow n 3)) 5.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ -2 (pow n 3)) 1)) (* (- (* 2 (/ 1 n))) (/ (/ 2 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ -2 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.456 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.456 * [taylor]: Taking taylor expansion of 2 in n 5.456 * [backup-simplify]: Simplify 2 into 2 5.456 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.456 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.456 * [taylor]: Taking taylor expansion of n in n 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.457 * [backup-simplify]: Simplify (* 1 1) into 1 5.457 * [backup-simplify]: Simplify (* 1 1) into 1 5.457 * [backup-simplify]: Simplify (/ 1 1) into 1 5.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.463 * [backup-simplify]: Simplify (- 0) into 0 5.463 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify -1 into -1 5.463 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.463 * [backup-simplify]: Simplify (log1p (expm1 (/ (- f n) (+ f n)))) into (log1p (expm1 (/ (- f n) (+ n f)))) 5.463 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in (f n) around 0 5.463 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in n 5.463 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 5.463 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in n 5.463 * [taylor]: Taking taylor expansion of 1 in n 5.463 * [backup-simplify]: Simplify 1 into 1 5.463 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in n 5.463 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 5.463 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in n 5.463 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 5.463 * [taylor]: Taking taylor expansion of (- f n) in n 5.463 * [taylor]: Taking taylor expansion of f in n 5.463 * [backup-simplify]: Simplify f into f 5.463 * [taylor]: Taking taylor expansion of n in n 5.463 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify 1 into 1 5.463 * [taylor]: Taking taylor expansion of (+ n f) in n 5.463 * [taylor]: Taking taylor expansion of n in n 5.463 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify 1 into 1 5.463 * [taylor]: Taking taylor expansion of f in n 5.463 * [backup-simplify]: Simplify f into f 5.464 * [backup-simplify]: Simplify (- 0) into 0 5.464 * [backup-simplify]: Simplify (+ f 0) into f 5.464 * [backup-simplify]: Simplify (+ 0 f) into f 5.464 * [backup-simplify]: Simplify (/ f f) into 1 5.464 * [backup-simplify]: Simplify (exp 1) into E 5.464 * [taylor]: Taking taylor expansion of 1 in n 5.464 * [backup-simplify]: Simplify 1 into 1 5.464 * [backup-simplify]: Simplify (- 1) into -1 5.464 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.465 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.465 * [backup-simplify]: Simplify (log E) into 1 5.465 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 5.465 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 5.465 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 5.465 * [taylor]: Taking taylor expansion of 1 in f 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 5.465 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 5.465 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 5.466 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.466 * [taylor]: Taking taylor expansion of (- f n) in f 5.466 * [taylor]: Taking taylor expansion of f in f 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.466 * [taylor]: Taking taylor expansion of n in f 5.466 * [backup-simplify]: Simplify n into n 5.466 * [taylor]: Taking taylor expansion of (+ n f) in f 5.466 * [taylor]: Taking taylor expansion of n in f 5.466 * [backup-simplify]: Simplify n into n 5.466 * [taylor]: Taking taylor expansion of f in f 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.466 * [backup-simplify]: Simplify (- n) into (- n) 5.466 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.466 * [backup-simplify]: Simplify (+ n 0) into n 5.466 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.466 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.466 * [taylor]: Taking taylor expansion of 1 in f 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (- 1) into -1 5.468 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.469 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.470 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.470 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- f n) (+ n f)))) in f 5.470 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- f n) (+ n f))))) 5.470 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- f n) (+ n f)))) in f 5.470 * [taylor]: Taking taylor expansion of 1 in f 5.470 * [backup-simplify]: Simplify 1 into 1 5.470 * [taylor]: Taking taylor expansion of (expm1 (/ (- f n) (+ n f))) in f 5.470 * [taylor]: Rewrote expression to (- (exp (/ (- f n) (+ n f))) 1) 5.470 * [taylor]: Taking taylor expansion of (exp (/ (- f n) (+ n f))) in f 5.470 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.470 * [taylor]: Taking taylor expansion of (- f n) in f 5.470 * [taylor]: Taking taylor expansion of f in f 5.470 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify 1 into 1 5.471 * [taylor]: Taking taylor expansion of n in f 5.471 * [backup-simplify]: Simplify n into n 5.471 * [taylor]: Taking taylor expansion of (+ n f) in f 5.471 * [taylor]: Taking taylor expansion of n in f 5.471 * [backup-simplify]: Simplify n into n 5.471 * [taylor]: Taking taylor expansion of f in f 5.471 * [backup-simplify]: Simplify 0 into 0 5.471 * [backup-simplify]: Simplify 1 into 1 5.471 * [backup-simplify]: Simplify (- n) into (- n) 5.471 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.471 * [backup-simplify]: Simplify (+ n 0) into n 5.471 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.471 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.471 * [taylor]: Taking taylor expansion of 1 in f 5.471 * [backup-simplify]: Simplify 1 into 1 5.472 * [backup-simplify]: Simplify (- 1) into -1 5.473 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.474 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.475 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.475 * [taylor]: Taking taylor expansion of -1 in n 5.475 * [backup-simplify]: Simplify -1 into -1 5.475 * [backup-simplify]: Simplify -1 into -1 5.475 * [backup-simplify]: Simplify (- 0) into 0 5.476 * [backup-simplify]: Simplify (+ 1 0) into 1 5.477 * [backup-simplify]: Simplify (+ 0 1) into 1 5.477 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 5.477 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 5.478 * [backup-simplify]: Simplify (- 0) into 0 5.478 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 5.479 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 5.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 5.485 * [taylor]: Taking taylor expansion of (/ 2 n) in n 5.485 * [taylor]: Taking taylor expansion of 2 in n 5.486 * [backup-simplify]: Simplify 2 into 2 5.486 * [taylor]: Taking taylor expansion of n in n 5.486 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify 1 into 1 5.487 * [backup-simplify]: Simplify (/ 2 1) into 2 5.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify (- 0) into 0 5.489 * [backup-simplify]: Simplify (+ 0 0) into 0 5.490 * [backup-simplify]: Simplify (+ 0 0) into 0 5.490 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 5.492 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 5.492 * [backup-simplify]: Simplify (- 0) into 0 5.493 * [backup-simplify]: Simplify (+ 0 0) into 0 5.493 * [backup-simplify]: Simplify (+ 0 0) into 0 5.497 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 5.497 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 5.497 * [taylor]: Taking taylor expansion of -2 in n 5.497 * [backup-simplify]: Simplify -2 into -2 5.497 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.497 * [taylor]: Taking taylor expansion of n in n 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 1 into 1 5.497 * [backup-simplify]: Simplify (* 1 1) into 1 5.498 * [backup-simplify]: Simplify (/ -2 1) into -2 5.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 5.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.501 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify (- 0) into 0 5.503 * [backup-simplify]: Simplify (+ 0 0) into 0 5.504 * [backup-simplify]: Simplify (+ 0 0) into 0 5.504 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 5.506 * [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))) 5.506 * [backup-simplify]: Simplify (- 0) into 0 5.507 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 5.507 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 5.513 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 5.513 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 5.513 * [taylor]: Taking taylor expansion of 2 in n 5.513 * [backup-simplify]: Simplify 2 into 2 5.513 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.513 * [taylor]: Taking taylor expansion of n in n 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify 1 into 1 5.514 * [backup-simplify]: Simplify (* 1 1) into 1 5.514 * [backup-simplify]: Simplify (* 1 1) into 1 5.514 * [backup-simplify]: Simplify (/ 2 1) into 2 5.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 5.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify -1 into -1 5.523 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) into (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 5.523 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 5.523 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 5.523 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 5.523 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 5.523 * [taylor]: Taking taylor expansion of 1 in n 5.523 * [backup-simplify]: Simplify 1 into 1 5.523 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 5.523 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 5.523 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 5.523 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 5.523 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.523 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.523 * [taylor]: Taking taylor expansion of f in n 5.523 * [backup-simplify]: Simplify f into f 5.523 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.523 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.523 * [taylor]: Taking taylor expansion of n in n 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify 1 into 1 5.524 * [backup-simplify]: Simplify (/ 1 1) into 1 5.524 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.524 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.524 * [taylor]: Taking taylor expansion of f in n 5.524 * [backup-simplify]: Simplify f into f 5.524 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.524 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.524 * [taylor]: Taking taylor expansion of n in n 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [backup-simplify]: Simplify 1 into 1 5.524 * [backup-simplify]: Simplify (/ 1 1) into 1 5.525 * [backup-simplify]: Simplify (- 1) into -1 5.525 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.526 * [backup-simplify]: Simplify (+ 0 1) into 1 5.526 * [backup-simplify]: Simplify (/ -1 1) into -1 5.527 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.527 * [taylor]: Taking taylor expansion of 1 in n 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [backup-simplify]: Simplify (- 1) into -1 5.528 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.529 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.530 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.530 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 5.530 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 5.530 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 5.530 * [taylor]: Taking taylor expansion of 1 in f 5.530 * [backup-simplify]: Simplify 1 into 1 5.530 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.530 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 5.530 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.530 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.531 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.531 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.531 * [taylor]: Taking taylor expansion of f in f 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify 1 into 1 5.531 * [backup-simplify]: Simplify (/ 1 1) into 1 5.531 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.531 * [taylor]: Taking taylor expansion of n in f 5.531 * [backup-simplify]: Simplify n into n 5.531 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.531 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.531 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.531 * [taylor]: Taking taylor expansion of f in f 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (/ 1 1) into 1 5.532 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.532 * [taylor]: Taking taylor expansion of n in f 5.532 * [backup-simplify]: Simplify n into n 5.532 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.532 * [backup-simplify]: Simplify (+ 1 0) into 1 5.533 * [backup-simplify]: Simplify (+ 1 0) into 1 5.533 * [backup-simplify]: Simplify (/ 1 1) into 1 5.533 * [backup-simplify]: Simplify (exp 1) into E 5.533 * [taylor]: Taking taylor expansion of 1 in f 5.533 * [backup-simplify]: Simplify 1 into 1 5.533 * [backup-simplify]: Simplify (- 1) into -1 5.534 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.535 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.535 * [backup-simplify]: Simplify (log E) into 1 5.535 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 5.535 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 5.535 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 5.535 * [taylor]: Taking taylor expansion of 1 in f 5.535 * [backup-simplify]: Simplify 1 into 1 5.535 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.535 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 1) 5.535 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 5.535 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.535 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.535 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.535 * [taylor]: Taking taylor expansion of f in f 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify 1 into 1 5.536 * [backup-simplify]: Simplify (/ 1 1) into 1 5.536 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.536 * [taylor]: Taking taylor expansion of n in f 5.536 * [backup-simplify]: Simplify n into n 5.536 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.536 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.536 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.536 * [taylor]: Taking taylor expansion of f in f 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify 1 into 1 5.537 * [backup-simplify]: Simplify (/ 1 1) into 1 5.537 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.537 * [taylor]: Taking taylor expansion of n in f 5.537 * [backup-simplify]: Simplify n into n 5.537 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.537 * [backup-simplify]: Simplify (+ 1 0) into 1 5.538 * [backup-simplify]: Simplify (+ 1 0) into 1 5.538 * [backup-simplify]: Simplify (/ 1 1) into 1 5.538 * [backup-simplify]: Simplify (exp 1) into E 5.538 * [taylor]: Taking taylor expansion of 1 in f 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [backup-simplify]: Simplify (- 1) into -1 5.539 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.540 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.540 * [backup-simplify]: Simplify (log E) into 1 5.540 * [taylor]: Taking taylor expansion of 1 in n 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [backup-simplify]: Simplify 1 into 1 5.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.541 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.541 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.542 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.542 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 5.542 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 5.542 * [backup-simplify]: Simplify (- 0) into 0 5.543 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 5.543 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ E n)))) into (- (* 2 (/ E n))) 5.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1)) (pow E 1)))) 1) into (/ -2 n) 5.544 * [taylor]: Taking taylor expansion of (/ -2 n) in n 5.544 * [taylor]: Taking taylor expansion of -2 in n 5.544 * [backup-simplify]: Simplify -2 into -2 5.544 * [taylor]: Taking taylor expansion of n in n 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 1 into 1 5.544 * [backup-simplify]: Simplify (/ -2 1) into -2 5.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.546 * [backup-simplify]: Simplify (- 0) into 0 5.547 * [backup-simplify]: Simplify (+ 0 0) into 0 5.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.548 * [backup-simplify]: Simplify (+ 0 0) into 0 5.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 5.550 * [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))) 5.550 * [backup-simplify]: Simplify (- 0) into 0 5.550 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 5.550 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 5.552 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 5.552 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 5.552 * [taylor]: Taking taylor expansion of 2 in n 5.552 * [backup-simplify]: Simplify 2 into 2 5.552 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.552 * [taylor]: Taking taylor expansion of n in n 5.552 * [backup-simplify]: Simplify 0 into 0 5.552 * [backup-simplify]: Simplify 1 into 1 5.553 * [backup-simplify]: Simplify (* 1 1) into 1 5.553 * [backup-simplify]: Simplify (/ 2 1) into 2 5.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 5.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.556 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.559 * [backup-simplify]: Simplify (- 0) into 0 5.559 * [backup-simplify]: Simplify (+ 0 0) into 0 5.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.560 * [backup-simplify]: Simplify (+ 0 0) into 0 5.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.563 * [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))) 5.563 * [backup-simplify]: Simplify (- 0) into 0 5.564 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 5.564 * [backup-simplify]: Simplify (+ 0 (- (* 22/3 (/ E (pow n 3))))) into (- (* 22/3 (/ E (pow n 3)))) 5.567 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 22/3 (/ E (pow n 3))))) 1)) (pow E 1)))) 6) into (/ -2 (pow n 3)) 5.567 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 5.567 * [taylor]: Taking taylor expansion of -2 in n 5.567 * [backup-simplify]: Simplify -2 into -2 5.567 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.567 * [taylor]: Taking taylor expansion of n in n 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 1 into 1 5.567 * [backup-simplify]: Simplify (* 1 1) into 1 5.568 * [backup-simplify]: Simplify (* 1 1) into 1 5.568 * [backup-simplify]: Simplify (/ -2 1) into -2 5.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 5.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.577 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 5.577 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in (f n) around 0 5.577 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 5.577 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 5.577 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 5.577 * [taylor]: Taking taylor expansion of 1 in n 5.577 * [backup-simplify]: Simplify 1 into 1 5.577 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 5.577 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 5.577 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 5.577 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 5.577 * [taylor]: Taking taylor expansion of -1 in n 5.577 * [backup-simplify]: Simplify -1 into -1 5.577 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 5.577 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.577 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.577 * [taylor]: Taking taylor expansion of n in n 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 1 into 1 5.578 * [backup-simplify]: Simplify (/ 1 1) into 1 5.578 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.578 * [taylor]: Taking taylor expansion of f in n 5.578 * [backup-simplify]: Simplify f into f 5.578 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.578 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.578 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.578 * [taylor]: Taking taylor expansion of f in n 5.578 * [backup-simplify]: Simplify f into f 5.578 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.578 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.578 * [taylor]: Taking taylor expansion of n in n 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 1 into 1 5.579 * [backup-simplify]: Simplify (/ 1 1) into 1 5.579 * [backup-simplify]: Simplify (+ 1 0) into 1 5.580 * [backup-simplify]: Simplify (+ 0 1) into 1 5.580 * [backup-simplify]: Simplify (/ 1 1) into 1 5.581 * [backup-simplify]: Simplify (* -1 1) into -1 5.581 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.581 * [taylor]: Taking taylor expansion of 1 in n 5.581 * [backup-simplify]: Simplify 1 into 1 5.581 * [backup-simplify]: Simplify (- 1) into -1 5.582 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.584 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.585 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.585 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 5.585 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 5.585 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 5.585 * [taylor]: Taking taylor expansion of 1 in f 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.585 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 5.585 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.585 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 5.585 * [taylor]: Taking taylor expansion of -1 in f 5.585 * [backup-simplify]: Simplify -1 into -1 5.586 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 5.586 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.586 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.586 * [taylor]: Taking taylor expansion of n in f 5.586 * [backup-simplify]: Simplify n into n 5.586 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.586 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.586 * [taylor]: Taking taylor expansion of f in f 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (/ 1 1) into 1 5.586 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.586 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.586 * [taylor]: Taking taylor expansion of f in f 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.587 * [backup-simplify]: Simplify (/ 1 1) into 1 5.587 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.587 * [taylor]: Taking taylor expansion of n in f 5.587 * [backup-simplify]: Simplify n into n 5.587 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.588 * [backup-simplify]: Simplify (- 1) into -1 5.588 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.588 * [backup-simplify]: Simplify (+ 1 0) into 1 5.589 * [backup-simplify]: Simplify (/ -1 1) into -1 5.589 * [backup-simplify]: Simplify (* -1 -1) into 1 5.589 * [backup-simplify]: Simplify (exp 1) into E 5.589 * [taylor]: Taking taylor expansion of 1 in f 5.589 * [backup-simplify]: Simplify 1 into 1 5.590 * [backup-simplify]: Simplify (- 1) into -1 5.590 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.591 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.591 * [backup-simplify]: Simplify (log E) into 1 5.592 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 5.592 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))))) 5.592 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 5.592 * [taylor]: Taking taylor expansion of 1 in f 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.592 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 1) 5.592 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 5.592 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 5.592 * [taylor]: Taking taylor expansion of -1 in f 5.592 * [backup-simplify]: Simplify -1 into -1 5.592 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 5.592 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.592 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.592 * [taylor]: Taking taylor expansion of n in f 5.592 * [backup-simplify]: Simplify n into n 5.592 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.592 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.592 * [taylor]: Taking taylor expansion of f in f 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.593 * [backup-simplify]: Simplify (/ 1 1) into 1 5.593 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.593 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.593 * [taylor]: Taking taylor expansion of f in f 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 1 into 1 5.593 * [backup-simplify]: Simplify (/ 1 1) into 1 5.593 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.593 * [taylor]: Taking taylor expansion of n in f 5.593 * [backup-simplify]: Simplify n into n 5.594 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.594 * [backup-simplify]: Simplify (- 1) into -1 5.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.595 * [backup-simplify]: Simplify (+ 1 0) into 1 5.595 * [backup-simplify]: Simplify (/ -1 1) into -1 5.596 * [backup-simplify]: Simplify (* -1 -1) into 1 5.596 * [backup-simplify]: Simplify (exp 1) into E 5.596 * [taylor]: Taking taylor expansion of 1 in f 5.596 * [backup-simplify]: Simplify 1 into 1 5.596 * [backup-simplify]: Simplify (- 1) into -1 5.597 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.598 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.598 * [backup-simplify]: Simplify (log E) into 1 5.598 * [taylor]: Taking taylor expansion of 1 in n 5.598 * [backup-simplify]: Simplify 1 into 1 5.598 * [backup-simplify]: Simplify 1 into 1 5.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.600 * [backup-simplify]: Simplify (- 0) into 0 5.600 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.601 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 5.601 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 5.602 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 5.602 * [backup-simplify]: Simplify (- 0) into 0 5.602 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 5.602 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ E n)))) into (- (* 2 (/ E n))) 5.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1)) (pow E 1)))) 1) into (/ -2 n) 5.603 * [taylor]: Taking taylor expansion of (/ -2 n) in n 5.603 * [taylor]: Taking taylor expansion of -2 in n 5.603 * [backup-simplify]: Simplify -2 into -2 5.603 * [taylor]: Taking taylor expansion of n in n 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (/ -2 1) into -2 5.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.606 * [backup-simplify]: Simplify (- 0) into 0 5.607 * [backup-simplify]: Simplify (+ 0 0) into 0 5.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.608 * [backup-simplify]: Simplify (+ 0 0) into 0 5.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.610 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.611 * [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))) 5.611 * [backup-simplify]: Simplify (- 0) into 0 5.611 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 5.611 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 5.613 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 5.613 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 5.613 * [taylor]: Taking taylor expansion of 2 in n 5.613 * [backup-simplify]: Simplify 2 into 2 5.613 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.613 * [taylor]: Taking taylor expansion of n in n 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 1 into 1 5.614 * [backup-simplify]: Simplify (* 1 1) into 1 5.614 * [backup-simplify]: Simplify (/ 2 1) into 2 5.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 5.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.617 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.620 * [backup-simplify]: Simplify (- 0) into 0 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.621 * [backup-simplify]: Simplify (+ 0 0) into 0 5.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 5.624 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.625 * [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))) 5.625 * [backup-simplify]: Simplify (- 0) into 0 5.626 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 5.626 * [backup-simplify]: Simplify (+ 0 (- (* 22/3 (/ E (pow n 3))))) into (- (* 22/3 (/ E (pow n 3)))) 5.629 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 22/3 (/ E (pow n 3))))) 1)) (pow E 1)))) 6) into (/ -2 (pow n 3)) 5.629 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 5.629 * [taylor]: Taking taylor expansion of -2 in n 5.629 * [backup-simplify]: Simplify -2 into -2 5.629 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.629 * [taylor]: Taking taylor expansion of n in n 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify (* 1 1) into 1 5.630 * [backup-simplify]: Simplify (* 1 1) into 1 5.630 * [backup-simplify]: Simplify (/ -2 1) into -2 5.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 5.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify 1 into 1 5.644 * * * [progress]: simplifying candidates 5.646 * [simplify]: Simplifying: (exp (/ (- f n) (+ f n))) (expm1 (expm1 (/ (- f n) (+ f n)))) (log1p (expm1 (/ (- f n) (+ f n)))) (log (expm1 (/ (- f n) (+ f n)))) (exp (expm1 (/ (- f n) (+ f n)))) (* (cbrt (expm1 (/ (- f n) (+ f n)))) (cbrt (expm1 (/ (- f n) (+ f n))))) (cbrt (expm1 (/ (- f n) (+ f n)))) (* (* (expm1 (/ (- f n) (+ f n))) (expm1 (/ (- f n) (+ f n)))) (expm1 (/ (- f n) (+ f n)))) (sqrt (expm1 (/ (- f n) (+ f n)))) (sqrt (expm1 (/ (- f n) (+ f n)))) (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (expm1 (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (log1p (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (- (log -1) (log (log1p (expm1 (/ (- f n) (+ f n)))))) (log (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (exp (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (* (* -1 -1) -1) (* (* (log1p (expm1 (/ (- f n) (+ f n)))) (log1p (expm1 (/ (- f n) (+ f n))))) (log1p (expm1 (/ (- f n) (+ f n)))))) (* (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))))) (cbrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (* (* (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))) (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (sqrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (sqrt (/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))) (- -1) (- (log1p (expm1 (/ (- f n) (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ (cbrt -1) (cbrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (cbrt -1) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (log1p (expm1 (/ (- f n) (+ f n))))) (/ (sqrt -1) (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ (sqrt -1) (cbrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (sqrt -1) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (sqrt -1) (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ (sqrt -1) 1) (/ (sqrt -1) (log1p (expm1 (/ (- f n) (+ f n))))) (/ 1 (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ -1 (cbrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ 1 (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ -1 (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ 1 1) (/ -1 (log1p (expm1 (/ (- f n) (+ f n))))) (/ 1 (log1p (expm1 (/ (- f n) (+ f n))))) (/ (log1p (expm1 (/ (- f n) (+ f n)))) -1) (/ -1 (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))))) (/ -1 (sqrt (log1p (expm1 (/ (- f n) (+ f n)))))) (/ -1 1) (/ (log1p (expm1 (/ (- f n) (+ f n)))) (cbrt -1)) (/ (log1p (expm1 (/ (- f n) (+ f n)))) (sqrt -1)) (/ (log1p (expm1 (/ (- f n) (+ f n)))) -1) (+ 1 (expm1 (/ (- f n) (+ f n)))) (expm1 (log1p (expm1 (/ (- f n) (+ f n))))) (log1p (log1p (expm1 (/ (- f n) (+ f n))))) (log (log1p (expm1 (/ (- f n) (+ f n))))) (exp (log1p (expm1 (/ (- f n) (+ f n))))) (* (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (+ f n))))) (* (* (log1p (expm1 (/ (- f n) (+ f n)))) (log1p (expm1 (/ (- f n) (+ f n))))) (log1p (expm1 (/ (- f n) (+ f n))))) (sqrt (log1p (expm1 (/ (- f n) (+ f n))))) (sqrt (log1p (expm1 (/ (- f n) (+ f n))))) (- (exp -1) 1) (- E 1) (- E 1) -1 1 1 1 -1 -1 -1 1 1 5.649 * * [simplify]: iteration 0: 144 enodes 5.688 * * [simplify]: iteration 1: 311 enodes 5.836 * * [simplify]: iteration 2: 1084 enodes 6.277 * * [simplify]: iteration complete: 5001 enodes 6.278 * * [simplify]: Extracting #0: cost 87 inf + 0 6.280 * * [simplify]: Extracting #1: cost 571 inf + 73 6.288 * * [simplify]: Extracting #2: cost 1632 inf + 2709 6.321 * * [simplify]: Extracting #3: cost 1866 inf + 51103 6.381 * * [simplify]: Extracting #4: cost 543 inf + 241882 6.459 * * [simplify]: Extracting #5: cost 34 inf + 330690 6.544 * * [simplify]: Extracting #6: cost 6 inf + 335690 6.636 * * [simplify]: Extracting #7: cost 0 inf + 337126 6.694 * [simplify]: Simplified to: (exp (/ (- f n) (+ n f))) (expm1 (expm1 (/ (- f n) (+ n f)))) (/ (- f n) (+ n f)) (log (expm1 (/ (- f n) (+ n f)))) (exp (expm1 (/ (- f n) (+ n f)))) (* (cbrt (expm1 (/ (- f n) (+ n f)))) (cbrt (expm1 (/ (- f n) (+ n f))))) (cbrt (expm1 (/ (- f n) (+ n f)))) (* (* (expm1 (/ (- f n) (+ n f))) (expm1 (/ (- f n) (+ n f)))) (expm1 (/ (- f n) (+ n f)))) (sqrt (expm1 (/ (- f n) (+ n f)))) (sqrt (expm1 (/ (- f n) (+ n f)))) (expm1 (/ (- f n) (+ n f))) (log1p (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (+ n (- f)) (- (+ f n)) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (- f n)) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (/ (/ (sqrt (- f n)) (cbrt (+ n f))) (cbrt (+ n f))) (/ (sqrt (- f n)) (cbrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f))) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f)) (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) 1 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ (+ (sqrt n) (sqrt f)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ n f))) (/ (+ (sqrt n) (sqrt f)) (sqrt (+ n f))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ n f))) (+ (sqrt n) (sqrt f)) (/ (- (sqrt f) (sqrt n)) (+ n f)) (+ (sqrt n) (sqrt f)) (/ (- (sqrt f) (sqrt n)) (+ n f)) (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f))) 1 (/ (- f n) (+ n f)) 1 (/ (- f n) (+ n f)) (/ 1 (+ n f)) (/ (+ n f) (- f n)) (/ (/ (- f n) (cbrt (+ n f))) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (- f n) (- f n) (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (- f n)) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (+ n f) (- f n)) (/ (- f n) (fma n (* n n) (* (* f f) f))) (/ (- f n) (* (- f n) (+ n f))) (* (fma n (+ f n) (* f f)) (+ f n)) (* (+ n f) (+ n f)) (expm1 (* (/ -1 (- f n)) (+ n f))) (log1p (* (/ -1 (- f n)) (+ n f))) (log (* (/ -1 (- f n)) (+ n f))) (log (* (/ -1 (- f n)) (+ n f))) (exp (* (/ -1 (- f n)) (+ n f))) (/ (/ -1 (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (cbrt (* (/ -1 (- f n)) (+ n f))) (cbrt (* (/ -1 (- f n)) (+ n f)))) (cbrt (* (/ -1 (- f n)) (+ n f))) (/ (/ -1 (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (sqrt (* (/ -1 (- f n)) (+ n f))) (sqrt (* (/ -1 (- f n)) (+ n f))) 1 (/ (+ n (- f)) (+ n f)) (* (/ (cbrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (cbrt -1) (cbrt (/ (- f n) (+ n f))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (cbrt -1) (/ (sqrt (/ (- f n) (+ n f))) (cbrt -1))) (/ (cbrt -1) (sqrt (/ (- f n) (+ n f)))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (/ (- f n) (+ n f))) (/ (/ (sqrt -1) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (cbrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ n f)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ n f)))) (sqrt -1) (/ (sqrt -1) (/ (- f n) (+ n f))) (/ 1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) 1 (* (/ -1 (- f n)) (+ n f)) (* (/ 1 (- f n)) (+ n f)) (/ (- f n) (- (+ f n))) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) -1 (/ (/ (- f n) (+ n f)) (cbrt -1)) (/ (/ (- f n) (+ n f)) (sqrt -1)) (/ (- f n) (- (+ f n))) (+ (expm1 (/ (- f n) (+ n f))) 1) (expm1 (/ (- f n) (+ n f))) (log1p (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (expm1 -1) (- E 1) (- E 1) -1 1 1 1 -1 -1 -1 1 1 6.707 * * * [progress]: adding candidates to table 7.253 * * [progress]: iteration 4 / 4 7.253 * * * [progress]: picking best candidate 7.266 * * * * [pick]: Picked # 7.266 * * * [progress]: localizing error 7.292 * * * [progress]: generating rewritten candidates 7.292 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 7.292 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 7.339 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 7.347 * * * [progress]: generating series expansions 7.347 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 7.347 * [backup-simplify]: Simplify (log1p (/ (- (+ f n)) (- f n))) into (log1p (* -1 (/ (+ n f) (- f n)))) 7.347 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 7.347 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 7.347 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 7.347 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 7.347 * [taylor]: Taking taylor expansion of 1 in n 7.347 * [backup-simplify]: Simplify 1 into 1 7.347 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.347 * [taylor]: Taking taylor expansion of -1 in n 7.348 * [backup-simplify]: Simplify -1 into -1 7.348 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.348 * [taylor]: Taking taylor expansion of (+ n f) in n 7.348 * [taylor]: Taking taylor expansion of n in n 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 1 into 1 7.348 * [taylor]: Taking taylor expansion of f in n 7.348 * [backup-simplify]: Simplify f into f 7.348 * [taylor]: Taking taylor expansion of (- f n) in n 7.348 * [taylor]: Taking taylor expansion of f in n 7.348 * [backup-simplify]: Simplify f into f 7.348 * [taylor]: Taking taylor expansion of n in n 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 1 into 1 7.348 * [backup-simplify]: Simplify (+ 0 f) into f 7.349 * [backup-simplify]: Simplify (- 0) into 0 7.349 * [backup-simplify]: Simplify (+ f 0) into f 7.349 * [backup-simplify]: Simplify (/ f f) into 1 7.349 * [backup-simplify]: Simplify (* -1 1) into -1 7.350 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.350 * [backup-simplify]: Simplify (+ 1 0) into 1 7.350 * [backup-simplify]: Simplify (- 1) into -1 7.351 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.351 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 7.352 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 7.352 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 f)))) into (- (* 2 (/ 1 f))) 7.352 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 f)))) into (log (- (* 2 (/ 1 f)))) 7.352 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 7.352 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 7.352 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 7.352 * [taylor]: Taking taylor expansion of 1 in f 7.352 * [backup-simplify]: Simplify 1 into 1 7.352 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.352 * [taylor]: Taking taylor expansion of -1 in f 7.352 * [backup-simplify]: Simplify -1 into -1 7.352 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.352 * [taylor]: Taking taylor expansion of (+ n f) in f 7.352 * [taylor]: Taking taylor expansion of n in f 7.352 * [backup-simplify]: Simplify n into n 7.352 * [taylor]: Taking taylor expansion of f in f 7.352 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify 1 into 1 7.352 * [taylor]: Taking taylor expansion of (- f n) in f 7.352 * [taylor]: Taking taylor expansion of f in f 7.352 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify 1 into 1 7.353 * [taylor]: Taking taylor expansion of n in f 7.353 * [backup-simplify]: Simplify n into n 7.353 * [backup-simplify]: Simplify (+ n 0) into n 7.353 * [backup-simplify]: Simplify (- n) into (- n) 7.353 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.353 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.353 * [backup-simplify]: Simplify (* -1 -1) into 1 7.354 * [backup-simplify]: Simplify (+ 1 1) into 2 7.354 * [backup-simplify]: Simplify (log 2) into (log 2) 7.354 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 7.354 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 7.354 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 7.354 * [taylor]: Taking taylor expansion of 1 in f 7.354 * [backup-simplify]: Simplify 1 into 1 7.354 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.354 * [taylor]: Taking taylor expansion of -1 in f 7.354 * [backup-simplify]: Simplify -1 into -1 7.354 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.354 * [taylor]: Taking taylor expansion of (+ n f) in f 7.354 * [taylor]: Taking taylor expansion of n in f 7.354 * [backup-simplify]: Simplify n into n 7.354 * [taylor]: Taking taylor expansion of f in f 7.354 * [backup-simplify]: Simplify 0 into 0 7.355 * [backup-simplify]: Simplify 1 into 1 7.355 * [taylor]: Taking taylor expansion of (- f n) in f 7.355 * [taylor]: Taking taylor expansion of f in f 7.355 * [backup-simplify]: Simplify 0 into 0 7.355 * [backup-simplify]: Simplify 1 into 1 7.355 * [taylor]: Taking taylor expansion of n in f 7.355 * [backup-simplify]: Simplify n into n 7.355 * [backup-simplify]: Simplify (+ n 0) into n 7.355 * [backup-simplify]: Simplify (- n) into (- n) 7.355 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.355 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.355 * [backup-simplify]: Simplify (* -1 -1) into 1 7.356 * [backup-simplify]: Simplify (+ 1 1) into 2 7.356 * [backup-simplify]: Simplify (log 2) into (log 2) 7.356 * [taylor]: Taking taylor expansion of (log 2) in n 7.356 * [taylor]: Taking taylor expansion of 2 in n 7.356 * [backup-simplify]: Simplify 2 into 2 7.357 * [backup-simplify]: Simplify (log 2) into (log 2) 7.357 * [backup-simplify]: Simplify (log 2) into (log 2) 7.358 * [backup-simplify]: Simplify (+ 0 1) into 1 7.358 * [backup-simplify]: Simplify (- 0) into 0 7.358 * [backup-simplify]: Simplify (+ 1 0) into 1 7.359 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.359 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.359 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 n))) into (* 2 (/ 1 n)) 7.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 2 1)))) 1) into (/ 1 n) 7.360 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.360 * [taylor]: Taking taylor expansion of n in n 7.360 * [backup-simplify]: Simplify 0 into 0 7.360 * [backup-simplify]: Simplify 1 into 1 7.360 * [backup-simplify]: Simplify (/ 1 1) into 1 7.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.361 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 7.363 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify (+ 0 0) into 0 7.364 * [backup-simplify]: Simplify (- 0) into 0 7.364 * [backup-simplify]: Simplify (+ 0 0) into 0 7.364 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.365 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.365 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 (pow n 2)))) into (* 2 (/ 1 (pow n 2))) 7.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 1)))) 2) into (/ 1/2 (pow n 2)) 7.367 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 7.367 * [taylor]: Taking taylor expansion of 1/2 in n 7.367 * [backup-simplify]: Simplify 1/2 into 1/2 7.367 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.367 * [taylor]: Taking taylor expansion of n in n 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 1 into 1 7.367 * [backup-simplify]: Simplify (* 1 1) into 1 7.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.372 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.373 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 7.374 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify (+ 0 0) into 0 7.375 * [backup-simplify]: Simplify (- 0) into 0 7.375 * [backup-simplify]: Simplify (+ 0 0) into 0 7.376 * [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)))) 7.376 * [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))) 7.376 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 (pow n 3)))) into (* 2 (/ 1 (pow n 3))) 7.378 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 2 1)))) 6) into (/ 1/3 (pow n 3)) 7.378 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 7.378 * [taylor]: Taking taylor expansion of 1/3 in n 7.378 * [backup-simplify]: Simplify 1/3 into 1/3 7.378 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.378 * [taylor]: Taking taylor expansion of n in n 7.378 * [backup-simplify]: Simplify 0 into 0 7.378 * [backup-simplify]: Simplify 1 into 1 7.378 * [backup-simplify]: Simplify (* 1 1) into 1 7.378 * [backup-simplify]: Simplify (* 1 1) into 1 7.379 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 7.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.383 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify (log 2) into (log 2) 7.384 * [backup-simplify]: Simplify (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 7.384 * [approximate]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 7.384 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.384 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 7.384 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.384 * [taylor]: Taking taylor expansion of 1 in n 7.384 * [backup-simplify]: Simplify 1 into 1 7.384 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.384 * [taylor]: Taking taylor expansion of -1 in n 7.384 * [backup-simplify]: Simplify -1 into -1 7.384 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.384 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.384 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.384 * [taylor]: Taking taylor expansion of f in n 7.384 * [backup-simplify]: Simplify f into f 7.384 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.384 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.384 * [taylor]: Taking taylor expansion of n in n 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 1 into 1 7.384 * [backup-simplify]: Simplify (/ 1 1) into 1 7.384 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.384 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.385 * [taylor]: Taking taylor expansion of f in n 7.385 * [backup-simplify]: Simplify f into f 7.385 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.385 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.385 * [taylor]: Taking taylor expansion of n in n 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify 1 into 1 7.385 * [backup-simplify]: Simplify (/ 1 1) into 1 7.385 * [backup-simplify]: Simplify (+ 0 1) into 1 7.385 * [backup-simplify]: Simplify (- 1) into -1 7.386 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.386 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.386 * [backup-simplify]: Simplify (* -1 -1) into 1 7.386 * [backup-simplify]: Simplify (+ 1 1) into 2 7.387 * [backup-simplify]: Simplify (log 2) into (log 2) 7.387 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.387 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 7.387 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.387 * [taylor]: Taking taylor expansion of 1 in f 7.387 * [backup-simplify]: Simplify 1 into 1 7.387 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.387 * [taylor]: Taking taylor expansion of -1 in f 7.387 * [backup-simplify]: Simplify -1 into -1 7.387 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.387 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.387 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.387 * [taylor]: Taking taylor expansion of f in f 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify 1 into 1 7.387 * [backup-simplify]: Simplify (/ 1 1) into 1 7.387 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.387 * [taylor]: Taking taylor expansion of n in f 7.387 * [backup-simplify]: Simplify n into n 7.387 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.387 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.387 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.387 * [taylor]: Taking taylor expansion of f in f 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify 1 into 1 7.388 * [backup-simplify]: Simplify (/ 1 1) into 1 7.388 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.388 * [taylor]: Taking taylor expansion of n in f 7.388 * [backup-simplify]: Simplify n into n 7.388 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.388 * [backup-simplify]: Simplify (+ 1 0) into 1 7.388 * [backup-simplify]: Simplify (+ 1 0) into 1 7.389 * [backup-simplify]: Simplify (/ 1 1) into 1 7.389 * [backup-simplify]: Simplify (* -1 1) into -1 7.389 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.390 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.390 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.390 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.390 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.391 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.391 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 7.391 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 7.391 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.391 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 7.391 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.391 * [taylor]: Taking taylor expansion of 1 in f 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.391 * [taylor]: Taking taylor expansion of -1 in f 7.391 * [backup-simplify]: Simplify -1 into -1 7.391 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.391 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.391 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.391 * [taylor]: Taking taylor expansion of f in f 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (/ 1 1) into 1 7.391 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.391 * [taylor]: Taking taylor expansion of n in f 7.391 * [backup-simplify]: Simplify n into n 7.391 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.391 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.391 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.391 * [taylor]: Taking taylor expansion of f in f 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.392 * [backup-simplify]: Simplify (/ 1 1) into 1 7.392 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.392 * [taylor]: Taking taylor expansion of n in f 7.392 * [backup-simplify]: Simplify n into n 7.392 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.392 * [backup-simplify]: Simplify (+ 1 0) into 1 7.392 * [backup-simplify]: Simplify (+ 1 0) into 1 7.393 * [backup-simplify]: Simplify (/ 1 1) into 1 7.393 * [backup-simplify]: Simplify (* -1 1) into -1 7.393 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.394 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.394 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.394 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.394 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.395 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.395 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 7.395 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 7.395 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.395 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 7.395 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 7.395 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.395 * [taylor]: Taking taylor expansion of 2 in n 7.395 * [backup-simplify]: Simplify 2 into 2 7.395 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.395 * [taylor]: Taking taylor expansion of n in n 7.395 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify 1 into 1 7.396 * [backup-simplify]: Simplify (/ 1 1) into 1 7.396 * [backup-simplify]: Simplify (* 2 1) into 2 7.396 * [backup-simplify]: Simplify (- 2) into -2 7.396 * [backup-simplify]: Simplify (- 2) into -2 7.397 * [backup-simplify]: Simplify (log -2) into (log -2) 7.397 * [taylor]: Taking taylor expansion of (log f) in n 7.397 * [taylor]: Taking taylor expansion of f in n 7.397 * [backup-simplify]: Simplify f into f 7.397 * [backup-simplify]: Simplify (log f) into (log f) 7.397 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 7.398 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 7.398 * [backup-simplify]: Simplify (- (+ (log -2) (log f)) (log n)) into (- (+ (log -2) (log f)) (log n)) 7.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.399 * [backup-simplify]: Simplify (+ 0 0) into 0 7.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.400 * [backup-simplify]: Simplify (- 0) into 0 7.400 * [backup-simplify]: Simplify (+ 0 0) into 0 7.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.401 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.401 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 2))))) into (- (* 2 (/ 1 (pow n 2)))) 7.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 1) into (/ 1 n) 7.402 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.402 * [taylor]: Taking taylor expansion of n in n 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 7.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.403 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.405 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.405 * [backup-simplify]: Simplify (- 0) into 0 7.405 * [backup-simplify]: Simplify (- 2) into -2 7.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 7.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 7.408 * [backup-simplify]: Simplify (+ 0 0) into 0 7.408 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.410 * [backup-simplify]: Simplify (+ 0 0) into 0 7.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.411 * [backup-simplify]: Simplify (- 0) into 0 7.411 * [backup-simplify]: Simplify (+ 0 0) into 0 7.413 * [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))) 7.414 * [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)))) 7.414 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 3))))) into (- (* 2 (/ 1 (pow n 3)))) 7.415 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 2)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 2) into (/ 1/2 (pow n 2)) 7.416 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 7.416 * [taylor]: Taking taylor expansion of 1/2 in n 7.416 * [backup-simplify]: Simplify 1/2 into 1/2 7.416 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.416 * [taylor]: Taking taylor expansion of n in n 7.416 * [backup-simplify]: Simplify 0 into 0 7.416 * [backup-simplify]: Simplify 1 into 1 7.416 * [backup-simplify]: Simplify (* 1 1) into 1 7.416 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.420 * [backup-simplify]: Simplify 0 into 0 7.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.421 * [backup-simplify]: Simplify 0 into 0 7.421 * [backup-simplify]: Simplify (- 0) into 0 7.421 * [backup-simplify]: Simplify (- 2) into -2 7.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.424 * [backup-simplify]: Simplify (- 0) into 0 7.424 * [backup-simplify]: Simplify (- 2) into -2 7.426 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 7.427 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 7.427 * [backup-simplify]: Simplify (+ 0 0) into 0 7.427 * [backup-simplify]: Simplify 0 into 0 7.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.429 * [backup-simplify]: Simplify (+ 0 0) into 0 7.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.435 * [backup-simplify]: Simplify (- 0) into 0 7.435 * [backup-simplify]: Simplify (+ 0 0) into 0 7.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ 0 1)) (* (* 2 (/ 1 (pow n 3))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 4))) 7.438 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 4)))) (+ (* 0 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))))) into (- (* 2 (/ 1 (pow n 4)))) 7.438 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 4))))) into (- (* 2 (/ 1 (pow n 4)))) 7.439 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 3)) (pow (- (* 2 (/ 1 n))) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 4))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 6) into (/ 1/3 (pow n 3)) 7.439 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 7.439 * [taylor]: Taking taylor expansion of 1/3 in n 7.439 * [backup-simplify]: Simplify 1/3 into 1/3 7.439 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.439 * [taylor]: Taking taylor expansion of n in n 7.439 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify 1 into 1 7.440 * [backup-simplify]: Simplify (* 1 1) into 1 7.440 * [backup-simplify]: Simplify (* 1 1) into 1 7.440 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 7.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.445 * [backup-simplify]: Simplify 0 into 0 7.445 * [backup-simplify]: Simplify (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n))) into (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n))) 7.446 * [backup-simplify]: Simplify (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 7.446 * [approximate]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 7.446 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.446 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 7.446 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.446 * [taylor]: Taking taylor expansion of 1 in n 7.446 * [backup-simplify]: Simplify 1 into 1 7.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.446 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.446 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.446 * [taylor]: Taking taylor expansion of f in n 7.446 * [backup-simplify]: Simplify f into f 7.446 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.446 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.446 * [taylor]: Taking taylor expansion of n in n 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 1 into 1 7.446 * [backup-simplify]: Simplify (/ 1 1) into 1 7.446 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.446 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.446 * [taylor]: Taking taylor expansion of n in n 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 1 into 1 7.447 * [backup-simplify]: Simplify (/ 1 1) into 1 7.447 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.447 * [taylor]: Taking taylor expansion of f in n 7.447 * [backup-simplify]: Simplify f into f 7.447 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.447 * [backup-simplify]: Simplify (+ 0 1) into 1 7.447 * [backup-simplify]: Simplify (+ 1 0) into 1 7.447 * [backup-simplify]: Simplify (/ 1 1) into 1 7.448 * [backup-simplify]: Simplify (+ 1 1) into 2 7.448 * [backup-simplify]: Simplify (log 2) into (log 2) 7.448 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.448 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 7.448 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.448 * [taylor]: Taking taylor expansion of 1 in f 7.448 * [backup-simplify]: Simplify 1 into 1 7.448 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.448 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.448 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.448 * [taylor]: Taking taylor expansion of f in f 7.448 * [backup-simplify]: Simplify 0 into 0 7.448 * [backup-simplify]: Simplify 1 into 1 7.448 * [backup-simplify]: Simplify (/ 1 1) into 1 7.448 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.448 * [taylor]: Taking taylor expansion of n in f 7.449 * [backup-simplify]: Simplify n into n 7.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.449 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.449 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.449 * [taylor]: Taking taylor expansion of n in f 7.449 * [backup-simplify]: Simplify n into n 7.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.449 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.449 * [taylor]: Taking taylor expansion of f in f 7.449 * [backup-simplify]: Simplify 0 into 0 7.449 * [backup-simplify]: Simplify 1 into 1 7.449 * [backup-simplify]: Simplify (/ 1 1) into 1 7.449 * [backup-simplify]: Simplify (+ 1 0) into 1 7.449 * [backup-simplify]: Simplify (- 1) into -1 7.450 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.450 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.450 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.451 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.451 * [backup-simplify]: Simplify (- 0) into 0 7.451 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.452 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.452 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 7.452 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 7.452 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.452 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 7.452 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.452 * [taylor]: Taking taylor expansion of 1 in f 7.452 * [backup-simplify]: Simplify 1 into 1 7.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.452 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.452 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.452 * [taylor]: Taking taylor expansion of f in f 7.452 * [backup-simplify]: Simplify 0 into 0 7.452 * [backup-simplify]: Simplify 1 into 1 7.452 * [backup-simplify]: Simplify (/ 1 1) into 1 7.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.452 * [taylor]: Taking taylor expansion of n in f 7.452 * [backup-simplify]: Simplify n into n 7.452 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.452 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.452 * [taylor]: Taking taylor expansion of n in f 7.452 * [backup-simplify]: Simplify n into n 7.452 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.453 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.453 * [taylor]: Taking taylor expansion of f in f 7.453 * [backup-simplify]: Simplify 0 into 0 7.453 * [backup-simplify]: Simplify 1 into 1 7.453 * [backup-simplify]: Simplify (/ 1 1) into 1 7.453 * [backup-simplify]: Simplify (+ 1 0) into 1 7.453 * [backup-simplify]: Simplify (- 1) into -1 7.454 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.454 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.454 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.455 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.455 * [backup-simplify]: Simplify (- 0) into 0 7.455 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.456 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.456 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 7.456 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 7.456 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.456 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 7.456 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 7.456 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.456 * [taylor]: Taking taylor expansion of 2 in n 7.457 * [backup-simplify]: Simplify 2 into 2 7.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.457 * [taylor]: Taking taylor expansion of n in n 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify 1 into 1 7.457 * [backup-simplify]: Simplify (/ 1 1) into 1 7.457 * [backup-simplify]: Simplify (* 2 1) into 2 7.457 * [backup-simplify]: Simplify (- 2) into -2 7.458 * [backup-simplify]: Simplify (- 2) into -2 7.458 * [backup-simplify]: Simplify (log -2) into (log -2) 7.458 * [taylor]: Taking taylor expansion of (log f) in n 7.458 * [taylor]: Taking taylor expansion of f in n 7.458 * [backup-simplify]: Simplify f into f 7.458 * [backup-simplify]: Simplify (log f) into (log f) 7.458 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 7.459 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 7.459 * [backup-simplify]: Simplify (- (+ (log -2) (log f)) (log n)) into (- (+ (log -2) (log f)) (log n)) 7.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.460 * [backup-simplify]: Simplify (+ 0 0) into 0 7.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.461 * [backup-simplify]: Simplify (- 0) into 0 7.461 * [backup-simplify]: Simplify (+ 0 0) into 0 7.462 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.463 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 2))))) into (- (* 2 (/ 1 (pow n 2)))) 7.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 1) into (/ 1 n) 7.463 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.463 * [taylor]: Taking taylor expansion of n in n 7.463 * [backup-simplify]: Simplify 0 into 0 7.463 * [backup-simplify]: Simplify 1 into 1 7.464 * [backup-simplify]: Simplify (/ 1 1) into 1 7.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.465 * [backup-simplify]: Simplify 0 into 0 7.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.466 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.466 * [backup-simplify]: Simplify (- 0) into 0 7.467 * [backup-simplify]: Simplify (- 2) into -2 7.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 7.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 7.469 * [backup-simplify]: Simplify (+ 0 0) into 0 7.469 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.471 * [backup-simplify]: Simplify (+ 0 0) into 0 7.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.472 * [backup-simplify]: Simplify (- 0) into 0 7.473 * [backup-simplify]: Simplify (+ 0 0) into 0 7.475 * [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)))) 7.475 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 3))))) into (- (* 2 (/ 1 (pow n 3)))) 7.476 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 2)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 2) into (/ 1/2 (pow n 2)) 7.476 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 7.476 * [taylor]: Taking taylor expansion of 1/2 in n 7.476 * [backup-simplify]: Simplify 1/2 into 1/2 7.476 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.476 * [taylor]: Taking taylor expansion of n in n 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 1 into 1 7.477 * [backup-simplify]: Simplify (* 1 1) into 1 7.477 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.481 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify (- 0) into 0 7.483 * [backup-simplify]: Simplify (- 2) into -2 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 7.485 * [backup-simplify]: Simplify (- 2) into -2 7.488 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 7.490 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 7.490 * [backup-simplify]: Simplify (+ 0 0) into 0 7.490 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.492 * [backup-simplify]: Simplify (+ 0 0) into 0 7.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (- 0) into 0 7.494 * [backup-simplify]: Simplify (+ 0 0) into 0 7.496 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 3)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 4)))) 7.497 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 4))))) into (- (* 2 (/ 1 (pow n 4)))) 7.499 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 3)) (pow (- (* 2 (/ 1 n))) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 4))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 6) into (/ 1/3 (pow n 3)) 7.499 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 7.499 * [taylor]: Taking taylor expansion of 1/3 in n 7.499 * [backup-simplify]: Simplify 1/3 into 1/3 7.499 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.499 * [taylor]: Taking taylor expansion of n in n 7.499 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify 1 into 1 7.499 * [backup-simplify]: Simplify (* 1 1) into 1 7.500 * [backup-simplify]: Simplify (* 1 1) into 1 7.500 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 7.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.508 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify (- (+ (log -2) (log (/ 1 (- f)))) (log (/ 1 (- n)))) into (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n))) 7.509 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 7.509 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 7.509 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.509 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.509 * [taylor]: Taking taylor expansion of -1 in n 7.509 * [backup-simplify]: Simplify -1 into -1 7.509 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.509 * [taylor]: Taking taylor expansion of (+ n f) in n 7.509 * [taylor]: Taking taylor expansion of n in n 7.510 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify 1 into 1 7.510 * [taylor]: Taking taylor expansion of f in n 7.510 * [backup-simplify]: Simplify f into f 7.510 * [taylor]: Taking taylor expansion of (- f n) in n 7.510 * [taylor]: Taking taylor expansion of f in n 7.510 * [backup-simplify]: Simplify f into f 7.510 * [taylor]: Taking taylor expansion of n in n 7.510 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify 1 into 1 7.510 * [backup-simplify]: Simplify (+ 0 f) into f 7.510 * [backup-simplify]: Simplify (- 0) into 0 7.510 * [backup-simplify]: Simplify (+ f 0) into f 7.510 * [backup-simplify]: Simplify (/ f f) into 1 7.510 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.510 * [taylor]: Taking taylor expansion of -1 in f 7.510 * [backup-simplify]: Simplify -1 into -1 7.510 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.510 * [taylor]: Taking taylor expansion of (+ n f) in f 7.510 * [taylor]: Taking taylor expansion of n in f 7.511 * [backup-simplify]: Simplify n into n 7.511 * [taylor]: Taking taylor expansion of f in f 7.511 * [backup-simplify]: Simplify 0 into 0 7.511 * [backup-simplify]: Simplify 1 into 1 7.511 * [taylor]: Taking taylor expansion of (- f n) in f 7.511 * [taylor]: Taking taylor expansion of f in f 7.511 * [backup-simplify]: Simplify 0 into 0 7.511 * [backup-simplify]: Simplify 1 into 1 7.511 * [taylor]: Taking taylor expansion of n in f 7.511 * [backup-simplify]: Simplify n into n 7.511 * [backup-simplify]: Simplify (+ n 0) into n 7.511 * [backup-simplify]: Simplify (- n) into (- n) 7.511 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.511 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.511 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.511 * [taylor]: Taking taylor expansion of -1 in f 7.511 * [backup-simplify]: Simplify -1 into -1 7.511 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.511 * [taylor]: Taking taylor expansion of (+ n f) in f 7.511 * [taylor]: Taking taylor expansion of n in f 7.511 * [backup-simplify]: Simplify n into n 7.511 * [taylor]: Taking taylor expansion of f in f 7.511 * [backup-simplify]: Simplify 0 into 0 7.511 * [backup-simplify]: Simplify 1 into 1 7.511 * [taylor]: Taking taylor expansion of (- f n) in f 7.511 * [taylor]: Taking taylor expansion of f in f 7.511 * [backup-simplify]: Simplify 0 into 0 7.511 * [backup-simplify]: Simplify 1 into 1 7.511 * [taylor]: Taking taylor expansion of n in f 7.511 * [backup-simplify]: Simplify n into n 7.511 * [backup-simplify]: Simplify (+ n 0) into n 7.511 * [backup-simplify]: Simplify (- n) into (- n) 7.512 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.512 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.512 * [backup-simplify]: Simplify (* -1 -1) into 1 7.512 * [taylor]: Taking taylor expansion of 1 in n 7.512 * [backup-simplify]: Simplify 1 into 1 7.512 * [backup-simplify]: Simplify 1 into 1 7.513 * [backup-simplify]: Simplify (+ 0 1) into 1 7.513 * [backup-simplify]: Simplify (- 0) into 0 7.513 * [backup-simplify]: Simplify (+ 1 0) into 1 7.514 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.514 * [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 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 7.515 * [backup-simplify]: Simplify (/ 1 1) into 1 7.516 * [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 7.517 * [backup-simplify]: Simplify (+ 0 0) into 0 7.517 * [backup-simplify]: Simplify (- 0) into 0 7.518 * [backup-simplify]: Simplify (+ 0 0) into 0 7.518 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.519 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.519 * [taylor]: Taking taylor expansion of 2 in n 7.519 * [backup-simplify]: Simplify 2 into 2 7.519 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.519 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.519 * [taylor]: Taking taylor expansion of n in n 7.519 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify 1 into 1 7.519 * [backup-simplify]: Simplify (* 1 1) into 1 7.520 * [backup-simplify]: Simplify (/ 1 1) into 1 7.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.525 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.525 * [backup-simplify]: Simplify 0 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 7.527 * [backup-simplify]: Simplify (+ 0 0) into 0 7.527 * [backup-simplify]: Simplify (- 0) into 0 7.528 * [backup-simplify]: Simplify (+ 0 0) into 0 7.528 * [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)))) 7.529 * [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))) 7.530 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.530 * [taylor]: Taking taylor expansion of 2 in n 7.530 * [backup-simplify]: Simplify 2 into 2 7.530 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.530 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.530 * [taylor]: Taking taylor expansion of n in n 7.530 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify 1 into 1 7.530 * [backup-simplify]: Simplify (* 1 1) into 1 7.530 * [backup-simplify]: Simplify (* 1 1) into 1 7.531 * [backup-simplify]: Simplify (/ 1 1) into 1 7.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.540 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.540 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.540 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.540 * [taylor]: Taking taylor expansion of -1 in n 7.540 * [backup-simplify]: Simplify -1 into -1 7.540 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.541 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.541 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.541 * [taylor]: Taking taylor expansion of f in n 7.541 * [backup-simplify]: Simplify f into f 7.541 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.541 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.541 * [taylor]: Taking taylor expansion of n in n 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 1 into 1 7.541 * [backup-simplify]: Simplify (/ 1 1) into 1 7.541 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.541 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.541 * [taylor]: Taking taylor expansion of f in n 7.541 * [backup-simplify]: Simplify f into f 7.541 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.541 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.541 * [taylor]: Taking taylor expansion of n in n 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 1 into 1 7.542 * [backup-simplify]: Simplify (/ 1 1) into 1 7.542 * [backup-simplify]: Simplify (+ 0 1) into 1 7.543 * [backup-simplify]: Simplify (- 1) into -1 7.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.543 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.543 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.543 * [taylor]: Taking taylor expansion of -1 in f 7.544 * [backup-simplify]: Simplify -1 into -1 7.544 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.544 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.544 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.544 * [taylor]: Taking taylor expansion of f in f 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 1 into 1 7.544 * [backup-simplify]: Simplify (/ 1 1) into 1 7.544 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.544 * [taylor]: Taking taylor expansion of n in f 7.544 * [backup-simplify]: Simplify n into n 7.544 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.544 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.544 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.544 * [taylor]: Taking taylor expansion of f in f 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 1 into 1 7.545 * [backup-simplify]: Simplify (/ 1 1) into 1 7.545 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.545 * [taylor]: Taking taylor expansion of n in f 7.545 * [backup-simplify]: Simplify n into n 7.545 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.545 * [backup-simplify]: Simplify (+ 1 0) into 1 7.546 * [backup-simplify]: Simplify (+ 1 0) into 1 7.546 * [backup-simplify]: Simplify (/ 1 1) into 1 7.546 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.546 * [taylor]: Taking taylor expansion of -1 in f 7.546 * [backup-simplify]: Simplify -1 into -1 7.546 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.546 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.546 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.546 * [taylor]: Taking taylor expansion of f in f 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify 1 into 1 7.547 * [backup-simplify]: Simplify (/ 1 1) into 1 7.547 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.547 * [taylor]: Taking taylor expansion of n in f 7.547 * [backup-simplify]: Simplify n into n 7.547 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.547 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.547 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.547 * [taylor]: Taking taylor expansion of f in f 7.547 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify 1 into 1 7.548 * [backup-simplify]: Simplify (/ 1 1) into 1 7.548 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.548 * [taylor]: Taking taylor expansion of n in f 7.548 * [backup-simplify]: Simplify n into n 7.548 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.548 * [backup-simplify]: Simplify (+ 1 0) into 1 7.549 * [backup-simplify]: Simplify (+ 1 0) into 1 7.549 * [backup-simplify]: Simplify (/ 1 1) into 1 7.550 * [backup-simplify]: Simplify (* -1 1) into -1 7.550 * [taylor]: Taking taylor expansion of -1 in n 7.550 * [backup-simplify]: Simplify -1 into -1 7.550 * [backup-simplify]: Simplify -1 into -1 7.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.551 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.551 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.552 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.552 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.552 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.552 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.552 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.552 * [taylor]: Taking taylor expansion of 2 in n 7.552 * [backup-simplify]: Simplify 2 into 2 7.552 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.552 * [taylor]: Taking taylor expansion of n in n 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 7.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.554 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.555 * [backup-simplify]: Simplify (- 0) into 0 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.556 * [backup-simplify]: Simplify (+ 0 0) into 0 7.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.558 * [backup-simplify]: Simplify (- 0) into 0 7.558 * [backup-simplify]: Simplify (+ 0 0) into 0 7.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.560 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 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 7.561 * [backup-simplify]: Simplify (* 1 1) into 1 7.561 * [backup-simplify]: Simplify (/ 1 1) into 1 7.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.565 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.570 * [backup-simplify]: Simplify (- 0) into 0 7.570 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.572 * [backup-simplify]: Simplify (- 0) into 0 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.574 * [backup-simplify]: Simplify (+ 0 0) into 0 7.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.575 * [backup-simplify]: Simplify (- 0) into 0 7.576 * [backup-simplify]: Simplify (+ 0 0) into 0 7.578 * [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))) 7.579 * [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)))) 7.579 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.579 * [taylor]: Taking taylor expansion of 2 in n 7.579 * [backup-simplify]: Simplify 2 into 2 7.579 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.579 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.579 * [taylor]: Taking taylor expansion of n in n 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 1 into 1 7.579 * [backup-simplify]: Simplify (* 1 1) into 1 7.580 * [backup-simplify]: Simplify (* 1 1) into 1 7.580 * [backup-simplify]: Simplify (/ 1 1) into 1 7.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.589 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.589 * [backup-simplify]: Simplify (- 0) into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify -1 into -1 7.589 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.589 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.589 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.589 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.589 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.590 * [taylor]: Taking taylor expansion of f in n 7.590 * [backup-simplify]: Simplify f into f 7.590 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.590 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.590 * [taylor]: Taking taylor expansion of n in n 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [backup-simplify]: Simplify (/ 1 1) into 1 7.590 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.590 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.590 * [taylor]: Taking taylor expansion of n in n 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.591 * [backup-simplify]: Simplify (/ 1 1) into 1 7.591 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.591 * [taylor]: Taking taylor expansion of f in n 7.591 * [backup-simplify]: Simplify f into f 7.591 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.591 * [backup-simplify]: Simplify (+ 0 1) into 1 7.592 * [backup-simplify]: Simplify (+ 1 0) into 1 7.592 * [backup-simplify]: Simplify (/ 1 1) into 1 7.592 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.592 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.592 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.592 * [taylor]: Taking taylor expansion of f in f 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.592 * [backup-simplify]: Simplify (/ 1 1) into 1 7.592 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.593 * [taylor]: Taking taylor expansion of n in f 7.593 * [backup-simplify]: Simplify n into n 7.593 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.593 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.593 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.593 * [taylor]: Taking taylor expansion of n in f 7.593 * [backup-simplify]: Simplify n into n 7.593 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.593 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.593 * [taylor]: Taking taylor expansion of f in f 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.593 * [backup-simplify]: Simplify (/ 1 1) into 1 7.594 * [backup-simplify]: Simplify (+ 1 0) into 1 7.594 * [backup-simplify]: Simplify (- 1) into -1 7.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.595 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.595 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.595 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.595 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.595 * [taylor]: Taking taylor expansion of f in f 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 1 into 1 7.595 * [backup-simplify]: Simplify (/ 1 1) into 1 7.595 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.595 * [taylor]: Taking taylor expansion of n in f 7.595 * [backup-simplify]: Simplify n into n 7.596 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.596 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.596 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.596 * [taylor]: Taking taylor expansion of n in f 7.596 * [backup-simplify]: Simplify n into n 7.596 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.596 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.596 * [taylor]: Taking taylor expansion of f in f 7.596 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify 1 into 1 7.596 * [backup-simplify]: Simplify (/ 1 1) into 1 7.597 * [backup-simplify]: Simplify (+ 1 0) into 1 7.597 * [backup-simplify]: Simplify (- 1) into -1 7.597 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.598 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.598 * [taylor]: Taking taylor expansion of -1 in n 7.598 * [backup-simplify]: Simplify -1 into -1 7.598 * [backup-simplify]: Simplify -1 into -1 7.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.599 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.600 * [backup-simplify]: Simplify (- 0) into 0 7.600 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.601 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.601 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.601 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.601 * [taylor]: Taking taylor expansion of 2 in n 7.601 * [backup-simplify]: Simplify 2 into 2 7.601 * [taylor]: Taking taylor expansion of (/ 1 n) 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 7.601 * [backup-simplify]: Simplify (/ 1 1) into 1 7.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.603 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.603 * [backup-simplify]: Simplify (- 0) into 0 7.603 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.605 * [backup-simplify]: Simplify (+ 0 0) into 0 7.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.606 * [backup-simplify]: Simplify (- 0) into 0 7.606 * [backup-simplify]: Simplify (+ 0 0) into 0 7.607 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.608 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.608 * [taylor]: Taking taylor expansion of 2 in n 7.608 * [backup-simplify]: Simplify 2 into 2 7.608 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.608 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.608 * [taylor]: Taking taylor expansion of n in n 7.608 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify 1 into 1 7.608 * [backup-simplify]: Simplify (* 1 1) into 1 7.609 * [backup-simplify]: Simplify (/ 1 1) into 1 7.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.613 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.613 * [backup-simplify]: Simplify (- 0) into 0 7.613 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.615 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.615 * [backup-simplify]: Simplify (- 0) into 0 7.615 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.617 * [backup-simplify]: Simplify (+ 0 0) into 0 7.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.618 * [backup-simplify]: Simplify (- 0) into 0 7.619 * [backup-simplify]: Simplify (+ 0 0) into 0 7.621 * [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)))) 7.621 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.621 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.621 * [taylor]: Taking taylor expansion of 2 in n 7.621 * [backup-simplify]: Simplify 2 into 2 7.621 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.621 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.621 * [taylor]: Taking taylor expansion of n in n 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 1 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 (/ 1 1) into 1 7.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.632 * [backup-simplify]: Simplify (- 0) into 0 7.632 * [backup-simplify]: Simplify 0 into 0 7.632 * [backup-simplify]: Simplify -1 into -1 7.632 * * * * [progress]: [ 3 / 3 ] generating series at (2) 7.633 * [backup-simplify]: Simplify (expm1 (log1p (/ (- (+ f n)) (- f n)))) into (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) 7.633 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 7.633 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in n 7.633 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 7.633 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in n 7.633 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n 7.633 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 7.633 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in n 7.633 * [taylor]: Taking taylor expansion of 1 in n 7.633 * [backup-simplify]: Simplify 1 into 1 7.633 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.633 * [taylor]: Taking taylor expansion of -1 in n 7.633 * [backup-simplify]: Simplify -1 into -1 7.633 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.633 * [taylor]: Taking taylor expansion of (+ n f) in n 7.633 * [taylor]: Taking taylor expansion of n in n 7.633 * [backup-simplify]: Simplify 0 into 0 7.633 * [backup-simplify]: Simplify 1 into 1 7.633 * [taylor]: Taking taylor expansion of f in n 7.634 * [backup-simplify]: Simplify f into f 7.634 * [taylor]: Taking taylor expansion of (- f n) in n 7.634 * [taylor]: Taking taylor expansion of f in n 7.634 * [backup-simplify]: Simplify f into f 7.634 * [taylor]: Taking taylor expansion of n in n 7.634 * [backup-simplify]: Simplify 0 into 0 7.634 * [backup-simplify]: Simplify 1 into 1 7.634 * [backup-simplify]: Simplify (+ 0 f) into f 7.634 * [backup-simplify]: Simplify (- 0) into 0 7.634 * [backup-simplify]: Simplify (+ f 0) into f 7.634 * [backup-simplify]: Simplify (/ f f) into 1 7.635 * [backup-simplify]: Simplify (* -1 1) into -1 7.635 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.636 * [backup-simplify]: Simplify (+ 1 0) into 1 7.636 * [backup-simplify]: Simplify (- 1) into -1 7.637 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.637 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 7.637 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 7.638 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 f)))) into (- (* 2 (/ 1 f))) 7.638 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 f)))) into (log (- (* 2 (/ 1 f)))) 7.638 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (- (* 2 (/ 1 f))))) into (+ (log (- (* 2 (/ 1 f)))) (log n)) 7.639 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (- (* 2 (/ 1 f))))) into (+ (log (- (* 2 (/ 1 f)))) (log n)) 7.639 * [backup-simplify]: Simplify (exp (+ (log (- (* 2 (/ 1 f)))) (log n))) into (exp (+ (log (- (* 2 (/ 1 f)))) (log n))) 7.639 * [taylor]: Taking taylor expansion of 1 in n 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 7.639 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 7.639 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 7.639 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 7.639 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 7.639 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 7.640 * [taylor]: Taking taylor expansion of 1 in f 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.640 * [taylor]: Taking taylor expansion of -1 in f 7.640 * [backup-simplify]: Simplify -1 into -1 7.640 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.640 * [taylor]: Taking taylor expansion of (+ n f) in f 7.640 * [taylor]: Taking taylor expansion of n in f 7.640 * [backup-simplify]: Simplify n into n 7.640 * [taylor]: Taking taylor expansion of f in f 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [taylor]: Taking taylor expansion of (- f n) in f 7.640 * [taylor]: Taking taylor expansion of f in f 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [taylor]: Taking taylor expansion of n in f 7.640 * [backup-simplify]: Simplify n into n 7.640 * [backup-simplify]: Simplify (+ n 0) into n 7.640 * [backup-simplify]: Simplify (- n) into (- n) 7.640 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.640 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.641 * [backup-simplify]: Simplify (* -1 -1) into 1 7.641 * [backup-simplify]: Simplify (+ 1 1) into 2 7.641 * [backup-simplify]: Simplify (log 2) into (log 2) 7.642 * [backup-simplify]: Simplify (exp (log 2)) into 2 7.642 * [taylor]: Taking taylor expansion of 1 in f 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in f 7.643 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ n f) (- f n))))) 1) 7.643 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ n f) (- f n))))) in f 7.643 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in f 7.643 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ n f) (- f n))))) 7.643 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ n f) (- f n)))) in f 7.643 * [taylor]: Taking taylor expansion of 1 in f 7.643 * [backup-simplify]: Simplify 1 into 1 7.643 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.643 * [taylor]: Taking taylor expansion of -1 in f 7.643 * [backup-simplify]: Simplify -1 into -1 7.643 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.643 * [taylor]: Taking taylor expansion of (+ n f) in f 7.643 * [taylor]: Taking taylor expansion of n in f 7.643 * [backup-simplify]: Simplify n into n 7.643 * [taylor]: Taking taylor expansion of f in f 7.643 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify 1 into 1 7.643 * [taylor]: Taking taylor expansion of (- f n) in f 7.643 * [taylor]: Taking taylor expansion of f in f 7.643 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify 1 into 1 7.643 * [taylor]: Taking taylor expansion of n in f 7.643 * [backup-simplify]: Simplify n into n 7.643 * [backup-simplify]: Simplify (+ n 0) into n 7.643 * [backup-simplify]: Simplify (- n) into (- n) 7.643 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.643 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.644 * [backup-simplify]: Simplify (* -1 -1) into 1 7.644 * [backup-simplify]: Simplify (+ 1 1) into 2 7.645 * [backup-simplify]: Simplify (log 2) into (log 2) 7.646 * [backup-simplify]: Simplify (exp (log 2)) into 2 7.646 * [taylor]: Taking taylor expansion of 1 in f 7.646 * [backup-simplify]: Simplify 1 into 1 7.646 * [backup-simplify]: Simplify (- 1) into -1 7.646 * [backup-simplify]: Simplify (+ 2 -1) into 1 7.647 * [taylor]: Taking taylor expansion of 1 in n 7.647 * [backup-simplify]: Simplify 1 into 1 7.647 * [backup-simplify]: Simplify 1 into 1 7.647 * [backup-simplify]: Simplify (+ 0 1) into 1 7.647 * [backup-simplify]: Simplify (- 0) into 0 7.648 * [backup-simplify]: Simplify (+ 1 0) into 1 7.648 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.649 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.649 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 n))) into (* 2 (/ 1 n)) 7.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 2 1)))) 1) into (/ 1 n) 7.651 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 2 n) 7.651 * [backup-simplify]: Simplify (- 0) into 0 7.651 * [backup-simplify]: Simplify (+ (/ 2 n) 0) into (* 2 (/ 1 n)) 7.651 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.651 * [taylor]: Taking taylor expansion of 2 in n 7.651 * [backup-simplify]: Simplify 2 into 2 7.651 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.651 * [taylor]: Taking taylor expansion of n in n 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 1 into 1 7.652 * [backup-simplify]: Simplify (/ 1 1) into 1 7.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.653 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.653 * [backup-simplify]: Simplify 0 into 0 7.653 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify (+ 0 0) into 0 7.654 * [backup-simplify]: Simplify (- 0) into 0 7.654 * [backup-simplify]: Simplify (+ 0 0) into 0 7.655 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.656 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.656 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 (pow n 2)))) into (* 2 (/ 1 (pow n 2))) 7.657 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 1)))) 2) into (/ 1/2 (pow n 2)) 7.659 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (/ 1/2 (pow n 2)) 1) 1)))) into (/ 2 (pow n 2)) 7.659 * [backup-simplify]: Simplify (- 0) into 0 7.659 * [backup-simplify]: Simplify (+ (/ 2 (pow n 2)) 0) into (* 2 (/ 1 (pow n 2))) 7.659 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.659 * [taylor]: Taking taylor expansion of 2 in n 7.659 * [backup-simplify]: Simplify 2 into 2 7.659 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.659 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.659 * [taylor]: Taking taylor expansion of n in n 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 1 into 1 7.660 * [backup-simplify]: Simplify (* 1 1) into 1 7.660 * [backup-simplify]: Simplify (/ 1 1) into 1 7.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.665 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.665 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.667 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify (+ 0 0) into 0 7.667 * [backup-simplify]: Simplify (- 0) into 0 7.668 * [backup-simplify]: Simplify (+ 0 0) into 0 7.668 * [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)))) 7.669 * [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))) 7.670 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 (pow n 3)))) into (* 2 (/ 1 (pow n 3))) 7.672 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 2 1)))) 6) into (/ 1/3 (pow n 3)) 7.674 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (/ 1/2 (pow n 2)) 1) 1)) (* (/ (pow (/ 1/3 (pow n 3)) 1) 1)))) into (/ 2 (pow n 3)) 7.674 * [backup-simplify]: Simplify (- 0) into 0 7.674 * [backup-simplify]: Simplify (+ (/ 2 (pow n 3)) 0) into (* 2 (/ 1 (pow n 3))) 7.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.674 * [taylor]: Taking taylor expansion of 2 in n 7.674 * [backup-simplify]: Simplify 2 into 2 7.674 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.674 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.674 * [taylor]: Taking taylor expansion of n in n 7.674 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify 1 into 1 7.675 * [backup-simplify]: Simplify (* 1 1) into 1 7.675 * [backup-simplify]: Simplify (* 1 1) into 1 7.676 * [backup-simplify]: Simplify (/ 1 1) into 1 7.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [backup-simplify]: Simplify (expm1 (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 7.685 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 7.685 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 7.685 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 7.686 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 7.686 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.686 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 7.686 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.686 * [taylor]: Taking taylor expansion of 1 in n 7.686 * [backup-simplify]: Simplify 1 into 1 7.686 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.686 * [taylor]: Taking taylor expansion of -1 in n 7.686 * [backup-simplify]: Simplify -1 into -1 7.686 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.686 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.686 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.686 * [taylor]: Taking taylor expansion of f in n 7.686 * [backup-simplify]: Simplify f into f 7.686 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.686 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.686 * [taylor]: Taking taylor expansion of n in n 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 1 into 1 7.687 * [backup-simplify]: Simplify (/ 1 1) into 1 7.687 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.687 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.687 * [taylor]: Taking taylor expansion of f in n 7.687 * [backup-simplify]: Simplify f into f 7.687 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.687 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.687 * [taylor]: Taking taylor expansion of n in n 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 1 into 1 7.687 * [backup-simplify]: Simplify (/ 1 1) into 1 7.688 * [backup-simplify]: Simplify (+ 0 1) into 1 7.688 * [backup-simplify]: Simplify (- 1) into -1 7.688 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.689 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.689 * [backup-simplify]: Simplify (* -1 -1) into 1 7.690 * [backup-simplify]: Simplify (+ 1 1) into 2 7.690 * [backup-simplify]: Simplify (log 2) into (log 2) 7.691 * [backup-simplify]: Simplify (exp (log 2)) into 2 7.691 * [taylor]: Taking taylor expansion of 1 in n 7.691 * [backup-simplify]: Simplify 1 into 1 7.691 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.691 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 7.691 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.691 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.691 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 7.691 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.691 * [taylor]: Taking taylor expansion of 1 in f 7.691 * [backup-simplify]: Simplify 1 into 1 7.691 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.691 * [taylor]: Taking taylor expansion of -1 in f 7.692 * [backup-simplify]: Simplify -1 into -1 7.692 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.692 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.692 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.692 * [taylor]: Taking taylor expansion of f in f 7.692 * [backup-simplify]: Simplify 0 into 0 7.692 * [backup-simplify]: Simplify 1 into 1 7.692 * [backup-simplify]: Simplify (/ 1 1) into 1 7.692 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.692 * [taylor]: Taking taylor expansion of n in f 7.692 * [backup-simplify]: Simplify n into n 7.692 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.692 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.692 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.692 * [taylor]: Taking taylor expansion of f in f 7.692 * [backup-simplify]: Simplify 0 into 0 7.692 * [backup-simplify]: Simplify 1 into 1 7.693 * [backup-simplify]: Simplify (/ 1 1) into 1 7.693 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.693 * [taylor]: Taking taylor expansion of n in f 7.693 * [backup-simplify]: Simplify n into n 7.693 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.693 * [backup-simplify]: Simplify (+ 1 0) into 1 7.694 * [backup-simplify]: Simplify (+ 1 0) into 1 7.694 * [backup-simplify]: Simplify (/ 1 1) into 1 7.695 * [backup-simplify]: Simplify (* -1 1) into -1 7.695 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.696 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.697 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.697 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.697 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.698 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.698 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 7.698 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 7.698 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.699 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.699 * [backup-simplify]: Simplify (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) into (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 7.699 * [taylor]: Taking taylor expansion of 1 in f 7.699 * [backup-simplify]: Simplify 1 into 1 7.699 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.699 * [taylor]: Rewrote expression to (- (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 1) 7.700 * [taylor]: Taking taylor expansion of (exp (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.700 * [taylor]: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.700 * [taylor]: Rewrote expression to (log (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 7.700 * [taylor]: Taking taylor expansion of (+ 1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.700 * [taylor]: Taking taylor expansion of 1 in f 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.700 * [taylor]: Taking taylor expansion of -1 in f 7.700 * [backup-simplify]: Simplify -1 into -1 7.700 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.700 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.700 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.700 * [taylor]: Taking taylor expansion of f in f 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [backup-simplify]: Simplify (/ 1 1) into 1 7.700 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.700 * [taylor]: Taking taylor expansion of n in f 7.700 * [backup-simplify]: Simplify n into n 7.700 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.701 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.701 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.701 * [taylor]: Taking taylor expansion of f in f 7.701 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify 1 into 1 7.701 * [backup-simplify]: Simplify (/ 1 1) into 1 7.701 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.701 * [taylor]: Taking taylor expansion of n in f 7.701 * [backup-simplify]: Simplify n into n 7.701 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.702 * [backup-simplify]: Simplify (+ 1 0) into 1 7.702 * [backup-simplify]: Simplify (+ 1 0) into 1 7.702 * [backup-simplify]: Simplify (/ 1 1) into 1 7.703 * [backup-simplify]: Simplify (* -1 1) into -1 7.703 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.704 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.705 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.705 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.705 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.706 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.706 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 7.706 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 7.707 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.707 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.707 * [backup-simplify]: Simplify (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) into (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 7.707 * [taylor]: Taking taylor expansion of 1 in f 7.707 * [backup-simplify]: Simplify 1 into 1 7.708 * [backup-simplify]: Simplify (- 1) into -1 7.708 * [backup-simplify]: Simplify (+ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) -1) into (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) 7.708 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 7.708 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 7.708 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 7.708 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 7.708 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.708 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.708 * [taylor]: Taking taylor expansion of 2 in n 7.708 * [backup-simplify]: Simplify 2 into 2 7.708 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.708 * [taylor]: Taking taylor expansion of n in n 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 1 into 1 7.709 * [backup-simplify]: Simplify (/ 1 1) into 1 7.709 * [backup-simplify]: Simplify (* 2 1) into 2 7.709 * [backup-simplify]: Simplify (- 2) into -2 7.710 * [backup-simplify]: Simplify (- 2) into -2 7.710 * [backup-simplify]: Simplify (log -2) into (log -2) 7.710 * [taylor]: Taking taylor expansion of (log f) in n 7.711 * [taylor]: Taking taylor expansion of f in n 7.711 * [backup-simplify]: Simplify f into f 7.711 * [backup-simplify]: Simplify (log f) into (log f) 7.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 7.712 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 7.713 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 7.713 * [taylor]: Taking taylor expansion of 1 in n 7.713 * [backup-simplify]: Simplify 1 into 1 7.713 * [backup-simplify]: Simplify (- 1) into -1 7.713 * [backup-simplify]: Simplify (+ (exp (- (+ (log -2) (log f)) (log n))) -1) into (- (exp (- (+ (log -2) (log f)) (log n))) 1) 7.714 * [backup-simplify]: Simplify (- (exp (- (+ (log -2) (log f)) (log n))) 1) into (- (exp (- (+ (log -2) (log f)) (log n))) 1) 7.715 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.716 * [backup-simplify]: Simplify (+ 0 0) into 0 7.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.718 * [backup-simplify]: Simplify (- 0) into 0 7.718 * [backup-simplify]: Simplify (+ 0 0) into 0 7.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.725 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.725 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 2))))) into (- (* 2 (/ 1 (pow n 2)))) 7.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 1) into (/ 1 n) 7.726 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 7.727 * [backup-simplify]: Simplify (- 0) into 0 7.727 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 7.727 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 7.727 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 7.727 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 7.727 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 7.727 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.727 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.727 * [taylor]: Taking taylor expansion of 2 in n 7.727 * [backup-simplify]: Simplify 2 into 2 7.727 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.727 * [taylor]: Taking taylor expansion of n in n 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (/ 1 1) into 1 7.728 * [backup-simplify]: Simplify (* 2 1) into 2 7.729 * [backup-simplify]: Simplify (- 2) into -2 7.729 * [backup-simplify]: Simplify (- 2) into -2 7.730 * [backup-simplify]: Simplify (log -2) into (log -2) 7.730 * [taylor]: Taking taylor expansion of (log f) in n 7.730 * [taylor]: Taking taylor expansion of f in n 7.730 * [backup-simplify]: Simplify f into f 7.730 * [backup-simplify]: Simplify (log f) into (log f) 7.731 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 7.731 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 7.732 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 7.732 * [taylor]: Taking taylor expansion of n in n 7.732 * [backup-simplify]: Simplify 0 into 0 7.732 * [backup-simplify]: Simplify 1 into 1 7.732 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 7.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.734 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.734 * [backup-simplify]: Simplify (- 0) into 0 7.735 * [backup-simplify]: Simplify (- 2) into -2 7.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 7.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 7.738 * [backup-simplify]: Simplify (+ 0 0) into 0 7.739 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 7.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 7.740 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.742 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.742 * [backup-simplify]: Simplify (- 0) into 0 7.743 * [backup-simplify]: Simplify (- 2) into -2 7.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 7.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 7.745 * [backup-simplify]: Simplify (+ 0 0) into 0 7.747 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 7.747 * [backup-simplify]: Simplify (- 0) into 0 7.748 * [backup-simplify]: Simplify (+ 0 0) into 0 7.748 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.750 * [backup-simplify]: Simplify (+ 0 0) into 0 7.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.751 * [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)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.754 * [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)))) 7.755 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 3))))) into (- (* 2 (/ 1 (pow n 3)))) 7.756 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 2)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 2) into (/ 1/2 (pow n 2)) 7.757 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (/ 1/2 (pow n 2)) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 7.757 * [backup-simplify]: Simplify (- 0) into 0 7.758 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 7.758 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 7.758 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 7.758 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 7.758 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 7.758 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.758 * [taylor]: Taking taylor expansion of 2 in n 7.758 * [backup-simplify]: Simplify 2 into 2 7.758 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.758 * [taylor]: Taking taylor expansion of n in n 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (/ 1 1) into 1 7.759 * [backup-simplify]: Simplify (* 2 1) into 2 7.759 * [backup-simplify]: Simplify (- 2) into -2 7.759 * [backup-simplify]: Simplify (- 2) into -2 7.760 * [backup-simplify]: Simplify (log -2) into (log -2) 7.760 * [taylor]: Taking taylor expansion of (log f) in n 7.760 * [taylor]: Taking taylor expansion of f in n 7.760 * [backup-simplify]: Simplify f into f 7.760 * [backup-simplify]: Simplify (log f) into (log f) 7.761 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 7.762 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 7.762 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 7.762 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.762 * [taylor]: Taking taylor expansion of n in n 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 1 into 1 7.763 * [backup-simplify]: Simplify (* 1 1) into 1 7.763 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 7.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.765 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.765 * [backup-simplify]: Simplify (- 0) into 0 7.766 * [backup-simplify]: Simplify (- 2) into -2 7.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 7.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 7.768 * [backup-simplify]: Simplify (+ 0 0) into 0 7.769 * [backup-simplify]: Simplify (- 0) into 0 7.769 * [backup-simplify]: Simplify (- 2) into -2 7.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.771 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.771 * [backup-simplify]: Simplify (- 0) into 0 7.772 * [backup-simplify]: Simplify (- 2) into -2 7.775 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 7.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 7.777 * [backup-simplify]: Simplify (+ 0 0) into 0 7.779 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.781 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 7.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 7.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.785 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify (- 0) into 0 7.786 * [backup-simplify]: Simplify (- 2) into -2 7.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.788 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.788 * [backup-simplify]: Simplify (- 0) into 0 7.789 * [backup-simplify]: Simplify (- 2) into -2 7.792 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 7.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 7.794 * [backup-simplify]: Simplify (+ 0 0) into 0 7.796 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.798 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify (- 0) into 0 7.799 * [backup-simplify]: Simplify (- 2) into -2 7.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.801 * [backup-simplify]: Simplify (- 0) into 0 7.802 * [backup-simplify]: Simplify (- 2) into -2 7.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 7.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 7.808 * [backup-simplify]: Simplify (+ 0 0) into 0 7.810 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.811 * [backup-simplify]: Simplify (- 0) into 0 7.811 * [backup-simplify]: Simplify (+ 0 0) into 0 7.811 * [backup-simplify]: Simplify 0 into 0 7.812 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.813 * [backup-simplify]: Simplify (+ 0 0) into 0 7.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.815 * [backup-simplify]: Simplify (- 0) into 0 7.815 * [backup-simplify]: Simplify (+ 0 0) into 0 7.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ 0 1)) (* (* 2 (/ 1 (pow n 3))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 4))) 7.818 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 4)))) (+ (* 0 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))))) into (- (* 2 (/ 1 (pow n 4)))) 7.819 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 4))))) into (- (* 2 (/ 1 (pow n 4)))) 7.820 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 3)) (pow (- (* 2 (/ 1 n))) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 4))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 6) into (/ 1/3 (pow n 3)) 7.822 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (/ 1/2 (pow n 2)) 1) 1)) (* (/ (pow (/ 1/3 (pow n 3)) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 7.822 * [backup-simplify]: Simplify (- 0) into 0 7.822 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 7.823 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 7.823 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 7.823 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 7.823 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 7.823 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.823 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.823 * [taylor]: Taking taylor expansion of 2 in n 7.823 * [backup-simplify]: Simplify 2 into 2 7.823 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.823 * [taylor]: Taking taylor expansion of n in n 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 1 into 1 7.823 * [backup-simplify]: Simplify (/ 1 1) into 1 7.824 * [backup-simplify]: Simplify (* 2 1) into 2 7.824 * [backup-simplify]: Simplify (- 2) into -2 7.824 * [backup-simplify]: Simplify (- 2) into -2 7.825 * [backup-simplify]: Simplify (log -2) into (log -2) 7.825 * [taylor]: Taking taylor expansion of (log f) in n 7.825 * [taylor]: Taking taylor expansion of f in n 7.825 * [backup-simplify]: Simplify f into f 7.825 * [backup-simplify]: Simplify (log f) into (log f) 7.826 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 7.826 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 7.827 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 7.827 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.827 * [taylor]: Taking taylor expansion of n in n 7.827 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify 1 into 1 7.827 * [backup-simplify]: Simplify (* 1 1) into 1 7.828 * [backup-simplify]: Simplify (* 1 1) into 1 7.828 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 7.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.830 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.830 * [backup-simplify]: Simplify (- 0) into 0 7.831 * [backup-simplify]: Simplify (- 2) into -2 7.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 7.833 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 7.833 * [backup-simplify]: Simplify (+ 0 0) into 0 7.834 * [backup-simplify]: Simplify (- 0) into 0 7.834 * [backup-simplify]: Simplify (- 2) into -2 7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.836 * [backup-simplify]: Simplify (- 0) into 0 7.837 * [backup-simplify]: Simplify (- 2) into -2 7.840 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 7.842 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 7.842 * [backup-simplify]: Simplify (+ 0 0) into 0 7.842 * [backup-simplify]: Simplify (- 0) into 0 7.843 * [backup-simplify]: Simplify (- 2) into -2 7.843 * [backup-simplify]: Simplify (- 0) into 0 7.843 * [backup-simplify]: Simplify (- 0) into 0 7.844 * [backup-simplify]: Simplify (- 2) into -2 7.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.846 * [backup-simplify]: Simplify (- 0) into 0 7.846 * [backup-simplify]: Simplify (- 2) into -2 7.851 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 7.854 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 1)))) 6) into 0 7.855 * [backup-simplify]: Simplify (+ 0 0) into 0 7.857 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.862 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 7.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 7.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.866 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify (- (exp (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n)))) 1) into (- (exp (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n)))) 1) 7.876 * [backup-simplify]: Simplify (expm1 (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 7.876 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 7.876 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 7.876 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 7.876 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 7.876 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.877 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 7.877 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.877 * [taylor]: Taking taylor expansion of 1 in n 7.877 * [backup-simplify]: Simplify 1 into 1 7.877 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.877 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.877 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.877 * [taylor]: Taking taylor expansion of f in n 7.877 * [backup-simplify]: Simplify f into f 7.877 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.877 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.877 * [taylor]: Taking taylor expansion of n in n 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify 1 into 1 7.877 * [backup-simplify]: Simplify (/ 1 1) into 1 7.877 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.877 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.877 * [taylor]: Taking taylor expansion of n in n 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify 1 into 1 7.877 * [backup-simplify]: Simplify (/ 1 1) into 1 7.877 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.877 * [taylor]: Taking taylor expansion of f in n 7.877 * [backup-simplify]: Simplify f into f 7.877 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.878 * [backup-simplify]: Simplify (+ 0 1) into 1 7.878 * [backup-simplify]: Simplify (+ 1 0) into 1 7.878 * [backup-simplify]: Simplify (/ 1 1) into 1 7.878 * [backup-simplify]: Simplify (+ 1 1) into 2 7.879 * [backup-simplify]: Simplify (log 2) into (log 2) 7.879 * [backup-simplify]: Simplify (exp (log 2)) into 2 7.879 * [taylor]: Taking taylor expansion of 1 in n 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.879 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 7.879 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.879 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.880 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 7.880 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.880 * [taylor]: Taking taylor expansion of 1 in f 7.880 * [backup-simplify]: Simplify 1 into 1 7.880 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.880 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.880 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.880 * [taylor]: Taking taylor expansion of f in f 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 1 into 1 7.880 * [backup-simplify]: Simplify (/ 1 1) into 1 7.880 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.880 * [taylor]: Taking taylor expansion of n in f 7.880 * [backup-simplify]: Simplify n into n 7.880 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.880 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.880 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.880 * [taylor]: Taking taylor expansion of n in f 7.880 * [backup-simplify]: Simplify n into n 7.880 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.880 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.880 * [taylor]: Taking taylor expansion of f in f 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 1 into 1 7.880 * [backup-simplify]: Simplify (/ 1 1) into 1 7.881 * [backup-simplify]: Simplify (+ 1 0) into 1 7.881 * [backup-simplify]: Simplify (- 1) into -1 7.881 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.881 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.882 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.882 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.883 * [backup-simplify]: Simplify (- 0) into 0 7.883 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.883 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.883 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 7.883 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 7.884 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.884 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.884 * [backup-simplify]: Simplify (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) into (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 7.884 * [taylor]: Taking taylor expansion of 1 in f 7.884 * [backup-simplify]: Simplify 1 into 1 7.884 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.884 * [taylor]: Rewrote expression to (- (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 7.884 * [taylor]: Taking taylor expansion of (exp (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.884 * [taylor]: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.884 * [taylor]: Rewrote expression to (log (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 7.884 * [taylor]: Taking taylor expansion of (+ 1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.884 * [taylor]: Taking taylor expansion of 1 in f 7.884 * [backup-simplify]: Simplify 1 into 1 7.884 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.884 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.884 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.884 * [taylor]: Taking taylor expansion of f in f 7.884 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify 1 into 1 7.885 * [backup-simplify]: Simplify (/ 1 1) into 1 7.885 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.885 * [taylor]: Taking taylor expansion of n in f 7.885 * [backup-simplify]: Simplify n into n 7.885 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.885 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.885 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.885 * [taylor]: Taking taylor expansion of n in f 7.885 * [backup-simplify]: Simplify n into n 7.885 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.885 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.885 * [taylor]: Taking taylor expansion of f in f 7.885 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify 1 into 1 7.885 * [backup-simplify]: Simplify (/ 1 1) into 1 7.886 * [backup-simplify]: Simplify (+ 1 0) into 1 7.886 * [backup-simplify]: Simplify (- 1) into -1 7.886 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.886 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.887 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.887 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.888 * [backup-simplify]: Simplify (- 0) into 0 7.888 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.888 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.888 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 7.888 * [backup-simplify]: Simplify (log (- (* 2 (/ 1 n)))) into (log (- (* 2 (/ 1 n)))) 7.888 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.889 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.889 * [backup-simplify]: Simplify (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) into (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 7.889 * [taylor]: Taking taylor expansion of 1 in f 7.889 * [backup-simplify]: Simplify 1 into 1 7.889 * [backup-simplify]: Simplify (- 1) into -1 7.889 * [backup-simplify]: Simplify (+ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) -1) into (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) 7.889 * [taylor]: Taking taylor expansion of (- (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) 1) in n 7.889 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 7.889 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 7.889 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 7.889 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.890 * [taylor]: Taking taylor expansion of 2 in n 7.890 * [backup-simplify]: Simplify 2 into 2 7.890 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.890 * [taylor]: Taking taylor expansion of n in n 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify 1 into 1 7.890 * [backup-simplify]: Simplify (/ 1 1) into 1 7.890 * [backup-simplify]: Simplify (* 2 1) into 2 7.890 * [backup-simplify]: Simplify (- 2) into -2 7.891 * [backup-simplify]: Simplify (- 2) into -2 7.891 * [backup-simplify]: Simplify (log -2) into (log -2) 7.891 * [taylor]: Taking taylor expansion of (log f) in n 7.891 * [taylor]: Taking taylor expansion of f in n 7.891 * [backup-simplify]: Simplify f into f 7.891 * [backup-simplify]: Simplify (log f) into (log f) 7.891 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 7.892 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 7.892 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 7.892 * [taylor]: Taking taylor expansion of 1 in n 7.892 * [backup-simplify]: Simplify 1 into 1 7.892 * [backup-simplify]: Simplify (- 1) into -1 7.893 * [backup-simplify]: Simplify (+ (exp (- (+ (log -2) (log f)) (log n))) -1) into (- (exp (- (+ (log -2) (log f)) (log n))) 1) 7.893 * [backup-simplify]: Simplify (- (exp (- (+ (log -2) (log f)) (log n))) 1) into (- (exp (- (+ (log -2) (log f)) (log n))) 1) 7.893 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.894 * [backup-simplify]: Simplify (+ 0 0) into 0 7.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (- 0) into 0 7.895 * [backup-simplify]: Simplify (+ 0 0) into 0 7.896 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.896 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 2))))) into (- (* 2 (/ 1 (pow n 2)))) 7.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 1) into (/ 1 n) 7.897 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 7.897 * [backup-simplify]: Simplify (- 0) into 0 7.897 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) 7.897 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) n) in n 7.897 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 7.897 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 7.897 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 7.897 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.897 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.897 * [taylor]: Taking taylor expansion of 2 in n 7.897 * [backup-simplify]: Simplify 2 into 2 7.897 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.897 * [taylor]: Taking taylor expansion of n in n 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 1 into 1 7.898 * [backup-simplify]: Simplify (/ 1 1) into 1 7.898 * [backup-simplify]: Simplify (* 2 1) into 2 7.898 * [backup-simplify]: Simplify (- 2) into -2 7.898 * [backup-simplify]: Simplify (- 2) into -2 7.899 * [backup-simplify]: Simplify (log -2) into (log -2) 7.899 * [taylor]: Taking taylor expansion of (log f) in n 7.899 * [taylor]: Taking taylor expansion of f in n 7.899 * [backup-simplify]: Simplify f into f 7.899 * [backup-simplify]: Simplify (log f) into (log f) 7.899 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 7.900 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 7.900 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 7.900 * [taylor]: Taking taylor expansion of n in n 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify 1 into 1 7.900 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 7.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.901 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.902 * [backup-simplify]: Simplify (- 0) into 0 7.902 * [backup-simplify]: Simplify (- 2) into -2 7.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 7.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 7.903 * [backup-simplify]: Simplify (+ 0 0) into 0 7.904 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 7.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 7.905 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.906 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.907 * [backup-simplify]: Simplify (- 0) into 0 7.907 * [backup-simplify]: Simplify (- 2) into -2 7.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 7.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 7.910 * [backup-simplify]: Simplify (+ 0 0) into 0 7.911 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 7.912 * [backup-simplify]: Simplify (- 0) into 0 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.914 * [backup-simplify]: Simplify (+ 0 0) into 0 7.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (- 0) into 0 7.916 * [backup-simplify]: Simplify (+ 0 0) into 0 7.918 * [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)))) 7.918 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 3))))) into (- (* 2 (/ 1 (pow n 3)))) 7.920 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 2)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 2) into (/ 1/2 (pow n 2)) 7.921 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (/ 1/2 (pow n 2)) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 7.921 * [backup-simplify]: Simplify (- 0) into 0 7.921 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) 7.922 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 2)) in n 7.922 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 7.922 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 7.922 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 7.922 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.922 * [taylor]: Taking taylor expansion of 2 in n 7.922 * [backup-simplify]: Simplify 2 into 2 7.922 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.922 * [taylor]: Taking taylor expansion of n in n 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify 1 into 1 7.922 * [backup-simplify]: Simplify (/ 1 1) into 1 7.923 * [backup-simplify]: Simplify (* 2 1) into 2 7.923 * [backup-simplify]: Simplify (- 2) into -2 7.924 * [backup-simplify]: Simplify (- 2) into -2 7.924 * [backup-simplify]: Simplify (log -2) into (log -2) 7.924 * [taylor]: Taking taylor expansion of (log f) in n 7.924 * [taylor]: Taking taylor expansion of f in n 7.924 * [backup-simplify]: Simplify f into f 7.924 * [backup-simplify]: Simplify (log f) into (log f) 7.925 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 7.925 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 7.926 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 7.926 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.926 * [taylor]: Taking taylor expansion of n in n 7.926 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify 1 into 1 7.927 * [backup-simplify]: Simplify (* 1 1) into 1 7.927 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.929 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.929 * [backup-simplify]: Simplify (- 0) into 0 7.930 * [backup-simplify]: Simplify (- 2) into -2 7.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 7.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 7.933 * [backup-simplify]: Simplify (+ 0 0) into 0 7.933 * [backup-simplify]: Simplify (- 0) into 0 7.934 * [backup-simplify]: Simplify (- 2) into -2 7.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.936 * [backup-simplify]: Simplify (- 0) into 0 7.937 * [backup-simplify]: Simplify (- 2) into -2 7.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 7.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 7.942 * [backup-simplify]: Simplify (+ 0 0) into 0 7.944 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.946 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 7.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 7.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.950 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify (- 0) into 0 7.951 * [backup-simplify]: Simplify (- 2) into -2 7.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.953 * [backup-simplify]: Simplify (- 0) into 0 7.954 * [backup-simplify]: Simplify (- 2) into -2 7.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 7.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 7.957 * [backup-simplify]: Simplify (+ 0 0) into 0 7.958 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify (- 0) into 0 7.959 * [backup-simplify]: Simplify (- 2) into -2 7.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.961 * [backup-simplify]: Simplify (- 0) into 0 7.961 * [backup-simplify]: Simplify (- 2) into -2 7.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 7.964 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 7.964 * [backup-simplify]: Simplify (+ 0 0) into 0 7.965 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.965 * [backup-simplify]: Simplify (- 0) into 0 7.965 * [backup-simplify]: Simplify (+ 0 0) into 0 7.965 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify (+ (* (- -1) (log f)) (log (- (* 2 (/ 1 n))))) into (+ (log (- (* 2 (/ 1 n)))) (log f)) 7.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.967 * [backup-simplify]: Simplify (+ 0 0) into 0 7.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.968 * [backup-simplify]: Simplify (- 0) into 0 7.968 * [backup-simplify]: Simplify (+ 0 0) into 0 7.969 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 3)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 4)))) 7.969 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 (pow n 4))))) into (- (* 2 (/ 1 (pow n 4)))) 7.971 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 3)) (pow (- (* 2 (/ 1 n))) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 (pow n 2))))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow (- (* 2 (/ 1 n))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 4))))) 1)) (pow (- (* 2 (/ 1 n))) 1)))) 6) into (/ 1/3 (pow n 3)) 7.971 * [backup-simplify]: Simplify (* (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (/ 1/2 (pow n 2)) 1) 1)) (* (/ (pow (/ 1/3 (pow n 3)) 1) 1)))) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 7.971 * [backup-simplify]: Simplify (- 0) into 0 7.972 * [backup-simplify]: Simplify (+ (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 0) into (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) 7.972 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) (pow n 3)) in n 7.972 * [taylor]: Taking taylor expansion of (exp (+ (log (- (* 2 (/ 1 n)))) (log f))) in n 7.972 * [taylor]: Taking taylor expansion of (+ (log (- (* 2 (/ 1 n)))) (log f)) in n 7.972 * [taylor]: Taking taylor expansion of (log (- (* 2 (/ 1 n)))) in n 7.972 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.972 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.972 * [taylor]: Taking taylor expansion of 2 in n 7.972 * [backup-simplify]: Simplify 2 into 2 7.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.972 * [taylor]: Taking taylor expansion of n in n 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 1 into 1 7.972 * [backup-simplify]: Simplify (/ 1 1) into 1 7.972 * [backup-simplify]: Simplify (* 2 1) into 2 7.973 * [backup-simplify]: Simplify (- 2) into -2 7.973 * [backup-simplify]: Simplify (- 2) into -2 7.973 * [backup-simplify]: Simplify (log -2) into (log -2) 7.973 * [taylor]: Taking taylor expansion of (log f) in n 7.973 * [taylor]: Taking taylor expansion of f in n 7.973 * [backup-simplify]: Simplify f into f 7.973 * [backup-simplify]: Simplify (log f) into (log f) 7.974 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 7.974 * [backup-simplify]: Simplify (+ (- (log -2) (log n)) (log f)) into (- (+ (log -2) (log f)) (log n)) 7.974 * [backup-simplify]: Simplify (exp (- (+ (log -2) (log f)) (log n))) into (exp (- (+ (log -2) (log f)) (log n))) 7.974 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.974 * [taylor]: Taking taylor expansion of n in n 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 1 into 1 7.975 * [backup-simplify]: Simplify (* 1 1) into 1 7.975 * [backup-simplify]: Simplify (* 1 1) into 1 7.975 * [backup-simplify]: Simplify (/ (exp (- (+ (log -2) (log f)) (log n))) 1) into (exp (- (+ (log -2) (log f)) (log n))) 7.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.976 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.976 * [backup-simplify]: Simplify (- 0) into 0 7.977 * [backup-simplify]: Simplify (- 2) into -2 7.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 7.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 7.978 * [backup-simplify]: Simplify (+ 0 0) into 0 7.978 * [backup-simplify]: Simplify (- 0) into 0 7.979 * [backup-simplify]: Simplify (- 2) into -2 7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.980 * [backup-simplify]: Simplify (- 0) into 0 7.980 * [backup-simplify]: Simplify (- 2) into -2 7.982 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 7.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 7.985 * [backup-simplify]: Simplify (+ 0 0) into 0 7.985 * [backup-simplify]: Simplify (- 0) into 0 7.985 * [backup-simplify]: Simplify (- 2) into -2 7.991 * [backup-simplify]: Simplify (- 0) into 0 7.991 * [backup-simplify]: Simplify (- 0) into 0 7.992 * [backup-simplify]: Simplify (- 2) into -2 7.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.994 * [backup-simplify]: Simplify (- 0) into 0 7.994 * [backup-simplify]: Simplify (- 2) into -2 8.000 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 8.003 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 1)))) 6) into 0 8.003 * [backup-simplify]: Simplify (+ 0 0) into 0 8.005 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.010 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 8.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)))) into 0 8.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.015 * [backup-simplify]: Simplify (* (exp (- (+ (log -2) (log f)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log -2) (log f)) (log n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.020 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify (- (exp (- (+ (log -2) (log (/ 1 (- f)))) (log (/ 1 (- n))))) 1) into (- (exp (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n)))) 1) 8.020 * * * [progress]: simplifying candidates 8.024 * [simplify]: Simplifying: (+ 1 (/ (- (+ f n)) (- f n))) (expm1 (log1p (/ (- (+ f n)) (- f n)))) (log1p (log1p (/ (- (+ f n)) (- f n)))) (log (log1p (/ (- (+ f n)) (- f n)))) (exp (log1p (/ (- (+ f n)) (- f n)))) (* (cbrt (log1p (/ (- (+ f n)) (- f n)))) (cbrt (log1p (/ (- (+ f n)) (- f n))))) (cbrt (log1p (/ (- (+ f n)) (- f n)))) (* (* (log1p (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n)))) (log1p (/ (- (+ f n)) (- f n)))) (sqrt (log1p (/ (- (+ f n)) (- f n)))) (sqrt (log1p (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (exp (log1p (/ (- (+ f n)) (- f n)))) (expm1 (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log1p (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log (expm1 (log1p (/ (- (+ f n)) (- f n))))) (exp (expm1 (log1p (/ (- (+ f n)) (- f n))))) (* (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n)))))) (cbrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (* (* (expm1 (log1p (/ (- (+ f n)) (- f n)))) (expm1 (log1p (/ (- (+ f n)) (- f n))))) (expm1 (log1p (/ (- (+ f n)) (- f n))))) (sqrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (sqrt (expm1 (log1p (/ (- (+ f n)) (- f n))))) (log 2) (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n))) (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n))) 1 -1 -1 1 (- (exp (- (+ (log -2) (log (/ 1 f))) (log (/ 1 n)))) 1) (- (exp (- (+ (log -2) (log (/ -1 f))) (log (/ -1 n)))) 1) 8.027 * * [simplify]: iteration 0: 174 enodes 8.090 * * [simplify]: iteration 1: 394 enodes 8.168 * * [simplify]: iteration 2: 1249 enodes 8.613 * * [simplify]: iteration complete: 5002 enodes 8.613 * * [simplify]: Extracting #0: cost 101 inf + 0 8.615 * * [simplify]: Extracting #1: cost 647 inf + 3 8.622 * * [simplify]: Extracting #2: cost 1328 inf + 366 8.631 * * [simplify]: Extracting #3: cost 1715 inf + 31124 8.684 * * [simplify]: Extracting #4: cost 602 inf + 275596 8.787 * * [simplify]: Extracting #5: cost 33 inf + 389887 8.871 * * [simplify]: Extracting #6: cost 4 inf + 392178 8.957 * * [simplify]: Extracting #7: cost 0 inf + 393190 9.056 * [simplify]: Simplified to: (- 1 (/ (+ n f) (- f n))) (/ (- (+ n f)) (- f n)) (log1p (log1p (/ (- (+ n f)) (- f n)))) (log (log1p (/ (- (+ n f)) (- f n)))) (exp (log1p (/ (- (+ n f)) (- f n)))) (* (cbrt (log1p (/ (- (+ n f)) (- f n)))) (cbrt (log1p (/ (- (+ n f)) (- f n))))) (cbrt (log1p (/ (- (+ n f)) (- f n)))) (* (log1p (/ (- (+ n f)) (- f n))) (* (log1p (/ (- (+ n f)) (- f n))) (log1p (/ (- (+ n f)) (- f n))))) (sqrt (log1p (/ (- (+ n f)) (- f n)))) (sqrt (log1p (/ (- (+ n f)) (- f n)))) (expm1 (/ (- (+ n f)) (- f n))) (log1p (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ n f) (+ (- 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))) (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 f) (sqrt n))) (/ (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 f) (sqrt n))) (/ (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 f) (sqrt n))) (/ (- (+ 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 f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (- (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (* (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (cbrt (+ n f))) (/ (cbrt (+ n f)) (sqrt (- f n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt (+ n f)) (- f n)) (* (- (/ (cbrt (+ n f)) (+ (sqrt f) (sqrt n)))) (cbrt (+ n f))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt (+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (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 f) (sqrt n))) (/ (+ 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 f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (* (/ (cbrt (+ n f)) (+ (sqrt f) (sqrt n))) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n))) (/ (- (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 f) (sqrt n))) (/ (- (+ 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 f) (sqrt n))) (/ (- (+ 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 f) (sqrt 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)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n)))) (/ -1 (- f n)) (* (- f n) (fma (- n f) n (* f f))) (* (- f n) (- f n)) (exp (log1p (/ (- (+ n f)) (- f n)))) (expm1 (/ (- (+ n f)) (- f n))) (log1p (/ (- (+ n f)) (- 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))) (log 2) (+ (- (log -2) (log f)) (log n)) (- (+ (log (/ -1 f)) (log -2)) (log (/ -1 n))) 1 -1 -1 1 (fma (* -2 (/ 1 f)) n -1) (fma -2 (/ (/ -1 f) (/ -1 n)) -1) 9.073 * * * [progress]: adding candidates to table 9.732 * [progress]: [Phase 3 of 3] Extracting. 9.732 * * [regime]: Finding splitpoints for: (# # # #) 9.734 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 9.735 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 9.805 * * * * [regimes]: Trying to branch on n from (# # # #) 9.844 * * * * [regimes]: Trying to branch on f from (# # # #) 9.912 * * * [regime]: Found split indices: #