0.717 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.060 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.062 * * [simplify]: iteration 0: 6 enodes 0.066 * * [simplify]: iteration 1: 13 enodes 0.068 * * [simplify]: iteration 2: 16 enodes 0.070 * * [simplify]: iteration 3: 20 enodes 0.072 * * [simplify]: iteration 4: 26 enodes 0.075 * * [simplify]: iteration 5: 30 enodes 0.078 * * [simplify]: iteration 6: 32 enodes 0.082 * * [simplify]: iteration complete: 32 enodes 0.083 * * [simplify]: Extracting #0: cost 1 inf + 0 0.084 * * [simplify]: Extracting #1: cost 9 inf + 0 0.084 * * [simplify]: Extracting #2: cost 14 inf + 0 0.086 * * [simplify]: Extracting #3: cost 11 inf + 43 0.086 * * [simplify]: Extracting #4: cost 2 inf + 860 0.087 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.087 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.090 * * [progress]: iteration 1 / 4 0.090 * * * [progress]: picking best candidate 0.120 * * * * [pick]: Picked # 0.120 * * * [progress]: localizing error 0.131 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.181 * * * [progress]: generating series expansions 0.181 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.186 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.186 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.186 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.186 * [taylor]: Taking taylor expansion of -1 in n 0.187 * [backup-simplify]: Simplify -1 into -1 0.187 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.187 * [taylor]: Taking taylor expansion of (+ n f) in n 0.187 * [taylor]: Taking taylor expansion of n in n 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of f in n 0.187 * [backup-simplify]: Simplify f into f 0.187 * [taylor]: Taking taylor expansion of (- f n) in n 0.187 * [taylor]: Taking taylor expansion of f in n 0.187 * [backup-simplify]: Simplify f into f 0.187 * [taylor]: Taking taylor expansion of n in n 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ 0 f) into f 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ f 0) into f 0.188 * [backup-simplify]: Simplify (/ f f) into 1 0.188 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.188 * [taylor]: Taking taylor expansion of -1 in f 0.188 * [backup-simplify]: Simplify -1 into -1 0.188 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.188 * [taylor]: Taking taylor expansion of (+ n f) in f 0.188 * [taylor]: Taking taylor expansion of n in f 0.188 * [backup-simplify]: Simplify n into n 0.188 * [taylor]: Taking taylor expansion of f in f 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of (- f n) in f 0.188 * [taylor]: Taking taylor expansion of f in f 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of n in f 0.188 * [backup-simplify]: Simplify n into n 0.188 * [backup-simplify]: Simplify (+ n 0) into n 0.188 * [backup-simplify]: Simplify (- n) into (- n) 0.188 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.188 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.188 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.188 * [taylor]: Taking taylor expansion of -1 in f 0.188 * [backup-simplify]: Simplify -1 into -1 0.188 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.188 * [taylor]: Taking taylor expansion of (+ n f) in f 0.188 * [taylor]: Taking taylor expansion of n in f 0.188 * [backup-simplify]: Simplify n into n 0.188 * [taylor]: Taking taylor expansion of f in f 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of (- f n) in f 0.188 * [taylor]: Taking taylor expansion of f in f 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of n in f 0.188 * [backup-simplify]: Simplify n into n 0.189 * [backup-simplify]: Simplify (+ n 0) into n 0.189 * [backup-simplify]: Simplify (- n) into (- n) 0.189 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.189 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.190 * [backup-simplify]: Simplify (* -1 -1) into 1 0.190 * [taylor]: Taking taylor expansion of 1 in n 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (+ 0 1) into 1 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.192 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.192 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.192 * [taylor]: Taking taylor expansion of 2 in n 0.192 * [backup-simplify]: Simplify 2 into 2 0.192 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.192 * [taylor]: Taking taylor expansion of n in n 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.196 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.196 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.196 * [taylor]: Taking taylor expansion of 2 in n 0.196 * [backup-simplify]: Simplify 2 into 2 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.196 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.196 * [taylor]: Taking taylor expansion of n in n 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [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)))) 0.202 * [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))) 0.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.203 * [taylor]: Taking taylor expansion of 2 in n 0.203 * [backup-simplify]: Simplify 2 into 2 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.203 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.226 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.226 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.226 * [taylor]: Taking taylor expansion of -1 in n 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.226 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.226 * [taylor]: Taking taylor expansion of f in n 0.226 * [backup-simplify]: Simplify f into f 0.227 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.227 * [taylor]: Taking taylor expansion of n in n 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.228 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.228 * [taylor]: Taking taylor expansion of f in n 0.228 * [backup-simplify]: Simplify f into f 0.228 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.228 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.228 * [taylor]: Taking taylor expansion of n in n 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (+ 0 1) into 1 0.229 * [backup-simplify]: Simplify (- 1) into -1 0.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.230 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.230 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.230 * [taylor]: Taking taylor expansion of -1 in f 0.230 * [backup-simplify]: Simplify -1 into -1 0.230 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.230 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.230 * [taylor]: Taking taylor expansion of f in f 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.231 * [taylor]: Taking taylor expansion of n in f 0.231 * [backup-simplify]: Simplify n into n 0.231 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.231 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.231 * [taylor]: Taking taylor expansion of f in f 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.232 * [taylor]: Taking taylor expansion of n in f 0.232 * [backup-simplify]: Simplify n into n 0.232 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.232 * [backup-simplify]: Simplify (+ 1 0) 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 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.233 * [taylor]: Taking taylor expansion of -1 in f 0.233 * [backup-simplify]: Simplify -1 into -1 0.233 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 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 f) (/ 1 n)) in f 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 0.235 * [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 0.235 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.235 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (* -1 1) into -1 0.236 * [taylor]: Taking taylor expansion of -1 in n 0.236 * [backup-simplify]: Simplify -1 into -1 0.236 * [backup-simplify]: Simplify -1 into -1 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.238 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.238 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.239 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 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 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.247 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.247 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.247 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.247 * [taylor]: Taking taylor expansion of 2 in n 0.247 * [backup-simplify]: Simplify 2 into 2 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.247 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.247 * [taylor]: Taking taylor expansion of n in n 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [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))) 0.261 * [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)))) 0.261 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.261 * [taylor]: Taking taylor expansion of 2 in n 0.261 * [backup-simplify]: Simplify 2 into 2 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.261 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.261 * [taylor]: Taking taylor expansion of n in n 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify -1 into -1 0.271 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.271 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.271 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.271 * [taylor]: Taking taylor expansion of f in n 0.271 * [backup-simplify]: Simplify f into f 0.271 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.271 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.271 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.271 * [taylor]: Taking taylor expansion of f in n 0.272 * [backup-simplify]: Simplify f into f 0.272 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.272 * [backup-simplify]: Simplify (+ 0 1) into 1 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.272 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.272 * [taylor]: Taking taylor expansion of f in f 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.273 * [taylor]: Taking taylor expansion of n in f 0.273 * [backup-simplify]: Simplify n into n 0.273 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.273 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.273 * [taylor]: Taking taylor expansion of n in f 0.273 * [backup-simplify]: Simplify n into n 0.273 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.273 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.273 * [taylor]: Taking taylor expansion of f in f 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (+ 1 0) into 1 0.274 * [backup-simplify]: Simplify (- 1) into -1 0.274 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.274 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.274 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.274 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.274 * [taylor]: Taking taylor expansion of f in f 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.275 * [taylor]: Taking taylor expansion of n in f 0.275 * [backup-simplify]: Simplify n into n 0.275 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.275 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.275 * [taylor]: Taking taylor expansion of n in f 0.275 * [backup-simplify]: Simplify n into n 0.275 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.275 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.275 * [taylor]: Taking taylor expansion of f in f 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (+ 1 0) into 1 0.276 * [backup-simplify]: Simplify (- 1) into -1 0.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.277 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.277 * [taylor]: Taking taylor expansion of -1 in n 0.277 * [backup-simplify]: Simplify -1 into -1 0.277 * [backup-simplify]: Simplify -1 into -1 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.279 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.279 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.279 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.279 * [taylor]: Taking taylor expansion of 2 in n 0.279 * [backup-simplify]: Simplify 2 into 2 0.279 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.279 * [taylor]: Taking taylor expansion of n in n 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.283 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.283 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.283 * [taylor]: Taking taylor expansion of 2 in n 0.283 * [backup-simplify]: Simplify 2 into 2 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.283 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.283 * [taylor]: Taking taylor expansion of n in n 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [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)))) 0.291 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.291 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.291 * [taylor]: Taking taylor expansion of 2 in n 0.291 * [backup-simplify]: Simplify 2 into 2 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.291 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify -1 into -1 0.299 * * * [progress]: simplifying candidates 0.302 * [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 0.305 * * [simplify]: iteration 0: 135 enodes 1.024 * * [simplify]: iteration 1: 316 enodes 1.153 * * [simplify]: iteration 2: 1069 enodes 1.602 * * [simplify]: iteration complete: 5002 enodes 1.602 * * [simplify]: Extracting #0: cost 88 inf + 0 1.604 * * [simplify]: Extracting #1: cost 581 inf + 3 1.610 * * [simplify]: Extracting #2: cost 1358 inf + 379 1.638 * * [simplify]: Extracting #3: cost 1755 inf + 61281 1.722 * * [simplify]: Extracting #4: cost 632 inf + 287843 1.850 * * [simplify]: Extracting #5: cost 55 inf + 396780 1.952 * * [simplify]: Extracting #6: cost 4 inf + 408811 2.049 * * [simplify]: Extracting #7: cost 0 inf + 409823 2.162 * [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 2.167 * * * [progress]: adding candidates to table 2.598 * * [progress]: iteration 2 / 4 2.598 * * * [progress]: picking best candidate 2.619 * * * * [pick]: Picked # 2.619 * * * [progress]: localizing error 2.656 * * * [progress]: generating rewritten candidates 2.656 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 2.706 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.760 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.835 * * * [progress]: generating series expansions 2.835 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 2.835 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 2.835 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.835 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.835 * [taylor]: Taking taylor expansion of -1 in n 2.835 * [backup-simplify]: Simplify -1 into -1 2.835 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.835 * [taylor]: Taking taylor expansion of (+ n f) in n 2.835 * [taylor]: Taking taylor expansion of n in n 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [taylor]: Taking taylor expansion of f in n 2.835 * [backup-simplify]: Simplify f into f 2.835 * [taylor]: Taking taylor expansion of (- f n) in n 2.835 * [taylor]: Taking taylor expansion of f in n 2.835 * [backup-simplify]: Simplify f into f 2.835 * [taylor]: Taking taylor expansion of n in n 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (+ 0 f) into f 2.836 * [backup-simplify]: Simplify (- 0) into 0 2.836 * [backup-simplify]: Simplify (+ f 0) into f 2.836 * [backup-simplify]: Simplify (/ f f) into 1 2.836 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.836 * [taylor]: Taking taylor expansion of -1 in f 2.836 * [backup-simplify]: Simplify -1 into -1 2.836 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.836 * [taylor]: Taking taylor expansion of (+ n f) in f 2.836 * [taylor]: Taking taylor expansion of n in f 2.836 * [backup-simplify]: Simplify n into n 2.836 * [taylor]: Taking taylor expansion of f in f 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of (- f n) in f 2.836 * [taylor]: Taking taylor expansion of f in f 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of n in f 2.836 * [backup-simplify]: Simplify n into n 2.836 * [backup-simplify]: Simplify (+ n 0) into n 2.836 * [backup-simplify]: Simplify (- n) into (- n) 2.836 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.836 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.836 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.836 * [taylor]: Taking taylor expansion of -1 in f 2.836 * [backup-simplify]: Simplify -1 into -1 2.836 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.836 * [taylor]: Taking taylor expansion of (+ n f) in f 2.836 * [taylor]: Taking taylor expansion of n in f 2.836 * [backup-simplify]: Simplify n into n 2.836 * [taylor]: Taking taylor expansion of f in f 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.837 * [taylor]: Taking taylor expansion of (- f n) in f 2.837 * [taylor]: Taking taylor expansion of f in f 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [taylor]: Taking taylor expansion of n in f 2.837 * [backup-simplify]: Simplify n into n 2.837 * [backup-simplify]: Simplify (+ n 0) into n 2.837 * [backup-simplify]: Simplify (- n) into (- n) 2.837 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.837 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.837 * [backup-simplify]: Simplify (* -1 -1) into 1 2.837 * [taylor]: Taking taylor expansion of 1 in n 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (+ 0 1) into 1 2.838 * [backup-simplify]: Simplify (- 0) into 0 2.838 * [backup-simplify]: Simplify (+ 1 0) into 1 2.838 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.838 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.838 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.838 * [taylor]: Taking taylor expansion of 2 in n 2.838 * [backup-simplify]: Simplify 2 into 2 2.838 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.838 * [taylor]: Taking taylor expansion of n in n 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.840 * [backup-simplify]: Simplify (- 0) into 0 2.841 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.841 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.841 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.841 * [taylor]: Taking taylor expansion of 2 in n 2.841 * [backup-simplify]: Simplify 2 into 2 2.841 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.841 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.841 * [taylor]: Taking taylor expansion of n in n 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (* 1 1) into 1 2.842 * [backup-simplify]: Simplify (/ 1 1) into 1 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify (- 0) into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [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)))) 2.847 * [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))) 2.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.847 * [taylor]: Taking taylor expansion of 2 in n 2.847 * [backup-simplify]: Simplify 2 into 2 2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.847 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.847 * [taylor]: Taking taylor expansion of n in n 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.847 * [backup-simplify]: Simplify (* 1 1) into 1 2.848 * [backup-simplify]: Simplify (* 1 1) into 1 2.848 * [backup-simplify]: Simplify (/ 1 1) into 1 2.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.855 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.855 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.855 * [taylor]: Taking taylor expansion of -1 in n 2.855 * [backup-simplify]: Simplify -1 into -1 2.855 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.855 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.855 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.855 * [taylor]: Taking taylor expansion of f in n 2.855 * [backup-simplify]: Simplify f into f 2.855 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.855 * [taylor]: Taking taylor expansion of n in n 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (/ 1 1) into 1 2.856 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.856 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.856 * [taylor]: Taking taylor expansion of f in n 2.856 * [backup-simplify]: Simplify f into f 2.856 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.856 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.856 * [taylor]: Taking taylor expansion of n in n 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (/ 1 1) into 1 2.857 * [backup-simplify]: Simplify (+ 0 1) into 1 2.857 * [backup-simplify]: Simplify (- 1) into -1 2.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.858 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.858 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.858 * [taylor]: Taking taylor expansion of -1 in f 2.858 * [backup-simplify]: Simplify -1 into -1 2.858 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.858 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.858 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.858 * [taylor]: Taking taylor expansion of f in f 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (/ 1 1) into 1 2.859 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.859 * [taylor]: Taking taylor expansion of n in f 2.859 * [backup-simplify]: Simplify n into n 2.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.859 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.859 * [taylor]: Taking taylor expansion of f in f 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (/ 1 1) into 1 2.859 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.859 * [taylor]: Taking taylor expansion of n in f 2.859 * [backup-simplify]: Simplify n into n 2.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.860 * [backup-simplify]: Simplify (+ 1 0) into 1 2.860 * [backup-simplify]: Simplify (+ 1 0) into 1 2.860 * [backup-simplify]: Simplify (/ 1 1) into 1 2.861 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.861 * [taylor]: Taking taylor expansion of -1 in f 2.861 * [backup-simplify]: Simplify -1 into -1 2.861 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.861 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.861 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.861 * [taylor]: Taking taylor expansion of f in f 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (/ 1 1) into 1 2.861 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.861 * [taylor]: Taking taylor expansion of n in f 2.861 * [backup-simplify]: Simplify n into n 2.861 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.861 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.861 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.861 * [taylor]: Taking taylor expansion of f in f 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.862 * [backup-simplify]: Simplify (/ 1 1) into 1 2.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.862 * [taylor]: Taking taylor expansion of n in f 2.862 * [backup-simplify]: Simplify n into n 2.862 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.862 * [backup-simplify]: Simplify (+ 1 0) into 1 2.863 * [backup-simplify]: Simplify (+ 1 0) into 1 2.863 * [backup-simplify]: Simplify (/ 1 1) into 1 2.864 * [backup-simplify]: Simplify (* -1 1) into -1 2.864 * [taylor]: Taking taylor expansion of -1 in n 2.864 * [backup-simplify]: Simplify -1 into -1 2.864 * [backup-simplify]: Simplify -1 into -1 2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.865 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.866 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.866 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.866 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.866 * [taylor]: Taking taylor expansion of 2 in n 2.866 * [backup-simplify]: Simplify 2 into 2 2.866 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.866 * [taylor]: Taking taylor expansion of n in n 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 1 into 1 2.867 * [backup-simplify]: Simplify (/ 1 1) into 1 2.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.868 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.869 * [backup-simplify]: Simplify (- 0) into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.870 * [backup-simplify]: Simplify (+ 0 0) into 0 2.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.872 * [backup-simplify]: Simplify (- 0) into 0 2.872 * [backup-simplify]: Simplify (+ 0 0) into 0 2.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.874 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.874 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.874 * [taylor]: Taking taylor expansion of 2 in n 2.874 * [backup-simplify]: Simplify 2 into 2 2.874 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.874 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.874 * [taylor]: Taking taylor expansion of n in n 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (* 1 1) into 1 2.875 * [backup-simplify]: Simplify (/ 1 1) into 1 2.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.880 * [backup-simplify]: Simplify (- 0) into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.881 * [backup-simplify]: Simplify (- 0) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.883 * [backup-simplify]: Simplify (- 0) into 0 2.883 * [backup-simplify]: Simplify (+ 0 0) into 0 2.884 * [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))) 2.885 * [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)))) 2.885 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.885 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.885 * [taylor]: Taking taylor expansion of 2 in n 2.885 * [backup-simplify]: Simplify 2 into 2 2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.885 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.885 * [taylor]: Taking taylor expansion of n in n 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 1 into 1 2.885 * [backup-simplify]: Simplify (* 1 1) into 1 2.886 * [backup-simplify]: Simplify (* 1 1) into 1 2.886 * [backup-simplify]: Simplify (/ 1 1) into 1 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (- 0) into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify -1 into -1 2.892 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.892 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.892 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.892 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.892 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.892 * [taylor]: Taking taylor expansion of f in n 2.892 * [backup-simplify]: Simplify f into f 2.892 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.892 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.892 * [taylor]: Taking taylor expansion of n in n 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (/ 1 1) into 1 2.892 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.892 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.892 * [taylor]: Taking taylor expansion of n in n 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (/ 1 1) into 1 2.893 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.893 * [taylor]: Taking taylor expansion of f in n 2.893 * [backup-simplify]: Simplify f into f 2.893 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.893 * [backup-simplify]: Simplify (+ 0 1) into 1 2.893 * [backup-simplify]: Simplify (+ 1 0) into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.894 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.894 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.894 * [taylor]: Taking taylor expansion of f in f 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.894 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.894 * [taylor]: Taking taylor expansion of n in f 2.894 * [backup-simplify]: Simplify n into n 2.894 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.894 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.894 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.894 * [taylor]: Taking taylor expansion of n in f 2.894 * [backup-simplify]: Simplify n into n 2.894 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.894 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.894 * [taylor]: Taking taylor expansion of f in f 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [backup-simplify]: Simplify (+ 1 0) into 1 2.895 * [backup-simplify]: Simplify (- 1) into -1 2.895 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.895 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.895 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.895 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.895 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.895 * [taylor]: Taking taylor expansion of f in f 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.896 * [taylor]: Taking taylor expansion of n in f 2.896 * [backup-simplify]: Simplify n into n 2.896 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.896 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.896 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.896 * [taylor]: Taking taylor expansion of n in f 2.896 * [backup-simplify]: Simplify n into n 2.896 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.896 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.896 * [taylor]: Taking taylor expansion of f in f 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [backup-simplify]: Simplify (+ 1 0) into 1 2.897 * [backup-simplify]: Simplify (- 1) into -1 2.897 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.897 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.897 * [taylor]: Taking taylor expansion of -1 in n 2.897 * [backup-simplify]: Simplify -1 into -1 2.897 * [backup-simplify]: Simplify -1 into -1 2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.899 * [backup-simplify]: Simplify (- 0) into 0 2.899 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.899 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.899 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.899 * [taylor]: Taking taylor expansion of 2 in n 2.899 * [backup-simplify]: Simplify 2 into 2 2.899 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.899 * [taylor]: Taking taylor expansion of n in n 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (/ 1 1) into 1 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.901 * [backup-simplify]: Simplify (- 0) into 0 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (- 0) into 0 2.904 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.905 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.905 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.905 * [taylor]: Taking taylor expansion of 2 in n 2.905 * [backup-simplify]: Simplify 2 into 2 2.906 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.906 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.906 * [taylor]: Taking taylor expansion of n in n 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (* 1 1) into 1 2.906 * [backup-simplify]: Simplify (/ 1 1) into 1 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.911 * [backup-simplify]: Simplify (- 0) into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.914 * [backup-simplify]: Simplify (- 0) into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.915 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (- 0) into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.919 * [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)))) 2.919 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.919 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.919 * [taylor]: Taking taylor expansion of 2 in n 2.919 * [backup-simplify]: Simplify 2 into 2 2.919 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.919 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.919 * [taylor]: Taking taylor expansion of n in n 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (* 1 1) into 1 2.920 * [backup-simplify]: Simplify (* 1 1) into 1 2.920 * [backup-simplify]: Simplify (/ 1 1) into 1 2.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.930 * [backup-simplify]: Simplify (- 0) into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify -1 into -1 2.930 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.931 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 2.931 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 2.931 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 2.931 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.931 * [taylor]: Taking taylor expansion of -1 in n 2.931 * [backup-simplify]: Simplify -1 into -1 2.931 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.931 * [taylor]: Taking taylor expansion of (+ n f) in n 2.931 * [taylor]: Taking taylor expansion of n in n 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [taylor]: Taking taylor expansion of f in n 2.931 * [backup-simplify]: Simplify f into f 2.931 * [taylor]: Taking taylor expansion of (- f n) in n 2.931 * [taylor]: Taking taylor expansion of f in n 2.931 * [backup-simplify]: Simplify f into f 2.931 * [taylor]: Taking taylor expansion of n in n 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (+ 0 f) into f 2.931 * [backup-simplify]: Simplify (- 0) into 0 2.932 * [backup-simplify]: Simplify (+ f 0) into f 2.932 * [backup-simplify]: Simplify (/ f f) into 1 2.932 * [backup-simplify]: Simplify (* -1 1) into -1 2.933 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.933 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 2.933 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.933 * [taylor]: Taking taylor expansion of -1 in f 2.933 * [backup-simplify]: Simplify -1 into -1 2.933 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.933 * [taylor]: Taking taylor expansion of (+ n f) in f 2.933 * [taylor]: Taking taylor expansion of n in f 2.933 * [backup-simplify]: Simplify n into n 2.933 * [taylor]: Taking taylor expansion of f in f 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [taylor]: Taking taylor expansion of (- f n) in f 2.933 * [taylor]: Taking taylor expansion of f in f 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [taylor]: Taking taylor expansion of n in f 2.933 * [backup-simplify]: Simplify n into n 2.933 * [backup-simplify]: Simplify (+ n 0) into n 2.933 * [backup-simplify]: Simplify (- n) into (- n) 2.933 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.933 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.934 * [backup-simplify]: Simplify (* -1 -1) into 1 2.934 * [backup-simplify]: Simplify (exp 1) into E 2.934 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 2.934 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.934 * [taylor]: Taking taylor expansion of -1 in f 2.934 * [backup-simplify]: Simplify -1 into -1 2.934 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.934 * [taylor]: Taking taylor expansion of (+ n f) in f 2.934 * [taylor]: Taking taylor expansion of n in f 2.934 * [backup-simplify]: Simplify n into n 2.934 * [taylor]: Taking taylor expansion of f in f 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [taylor]: Taking taylor expansion of (- f n) in f 2.934 * [taylor]: Taking taylor expansion of f in f 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [taylor]: Taking taylor expansion of n in f 2.934 * [backup-simplify]: Simplify n into n 2.934 * [backup-simplify]: Simplify (+ n 0) into n 2.934 * [backup-simplify]: Simplify (- n) into (- n) 2.934 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.934 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.935 * [backup-simplify]: Simplify (* -1 -1) into 1 2.935 * [backup-simplify]: Simplify (exp 1) into E 2.935 * [taylor]: Taking taylor expansion of E in n 2.935 * [backup-simplify]: Simplify E into E 2.935 * [backup-simplify]: Simplify E into E 2.936 * [backup-simplify]: Simplify (+ 0 1) into 1 2.936 * [backup-simplify]: Simplify (- 0) into 0 2.937 * [backup-simplify]: Simplify (+ 1 0) into 1 2.937 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.938 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.938 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 2.938 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 2.938 * [taylor]: Taking taylor expansion of 2 in n 2.938 * [backup-simplify]: Simplify 2 into 2 2.938 * [taylor]: Taking taylor expansion of (/ E n) in n 2.938 * [taylor]: Taking taylor expansion of E in n 2.938 * [backup-simplify]: Simplify E into E 2.938 * [taylor]: Taking taylor expansion of n in n 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ E 1) into E 2.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify (- 0) into 0 2.942 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.947 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.948 * [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))) 2.948 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 2.948 * [taylor]: Taking taylor expansion of 4 in n 2.948 * [backup-simplify]: Simplify 4 into 4 2.948 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 2.948 * [taylor]: Taking taylor expansion of E in n 2.948 * [backup-simplify]: Simplify E into E 2.948 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.948 * [taylor]: Taking taylor expansion of n in n 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (* 1 1) into 1 2.949 * [backup-simplify]: Simplify (/ E 1) into E 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify (- 0) into 0 2.955 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [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)))) 2.956 * [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))) 2.956 * [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))) 2.956 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 2.956 * [taylor]: Taking taylor expansion of 22/3 in n 2.956 * [backup-simplify]: Simplify 22/3 into 22/3 2.956 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 2.956 * [taylor]: Taking taylor expansion of E in n 2.956 * [backup-simplify]: Simplify E into E 2.956 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.956 * [taylor]: Taking taylor expansion of n in n 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (* 1 1) into 1 2.957 * [backup-simplify]: Simplify (* 1 1) into 1 2.957 * [backup-simplify]: Simplify (/ E 1) into E 2.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify E into E 2.963 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2.964 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 2.964 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 2.964 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.964 * [taylor]: Taking taylor expansion of -1 in n 2.964 * [backup-simplify]: Simplify -1 into -1 2.964 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.964 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.964 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.964 * [taylor]: Taking taylor expansion of f in n 2.964 * [backup-simplify]: Simplify f into f 2.964 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.964 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.964 * [taylor]: Taking taylor expansion of n in n 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (/ 1 1) into 1 2.964 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.964 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.964 * [taylor]: Taking taylor expansion of f in n 2.964 * [backup-simplify]: Simplify f into f 2.964 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.964 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.964 * [taylor]: Taking taylor expansion of n in n 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (/ 1 1) into 1 2.965 * [backup-simplify]: Simplify (+ 0 1) into 1 2.965 * [backup-simplify]: Simplify (- 1) into -1 2.965 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.965 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.966 * [backup-simplify]: Simplify (* -1 -1) into 1 2.966 * [backup-simplify]: Simplify (exp 1) into E 2.966 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.966 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.966 * [taylor]: Taking taylor expansion of -1 in f 2.966 * [backup-simplify]: Simplify -1 into -1 2.966 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.966 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.966 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.966 * [taylor]: Taking taylor expansion of f in f 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (/ 1 1) into 1 2.966 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.966 * [taylor]: Taking taylor expansion of n in f 2.966 * [backup-simplify]: Simplify n into n 2.966 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.966 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.966 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.966 * [taylor]: Taking taylor expansion of f in f 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (/ 1 1) into 1 2.967 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.967 * [taylor]: Taking taylor expansion of n in f 2.967 * [backup-simplify]: Simplify n into n 2.967 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.967 * [backup-simplify]: Simplify (+ 1 0) into 1 2.967 * [backup-simplify]: Simplify (+ 1 0) into 1 2.967 * [backup-simplify]: Simplify (/ 1 1) into 1 2.968 * [backup-simplify]: Simplify (* -1 1) into -1 2.968 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.968 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 2.968 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.968 * [taylor]: Taking taylor expansion of -1 in f 2.968 * [backup-simplify]: Simplify -1 into -1 2.968 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.968 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.968 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.968 * [taylor]: Taking taylor expansion of f in f 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (/ 1 1) into 1 2.968 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.968 * [taylor]: Taking taylor expansion of n in f 2.968 * [backup-simplify]: Simplify n into n 2.968 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.968 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.968 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.968 * [taylor]: Taking taylor expansion of f in f 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify (/ 1 1) into 1 2.969 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.969 * [taylor]: Taking taylor expansion of n in f 2.969 * [backup-simplify]: Simplify n into n 2.969 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.969 * [backup-simplify]: Simplify (+ 1 0) into 1 2.969 * [backup-simplify]: Simplify (+ 1 0) into 1 2.970 * [backup-simplify]: Simplify (/ 1 1) into 1 2.970 * [backup-simplify]: Simplify (* -1 1) into -1 2.970 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.970 * [taylor]: Taking taylor expansion of (exp -1) in n 2.970 * [taylor]: Taking taylor expansion of -1 in n 2.970 * [backup-simplify]: Simplify -1 into -1 2.970 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.971 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.971 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.972 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.972 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.972 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.973 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.973 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 2.973 * [taylor]: Taking taylor expansion of -2 in n 2.973 * [backup-simplify]: Simplify -2 into -2 2.973 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 2.973 * [taylor]: Taking taylor expansion of (exp -1) in n 2.973 * [taylor]: Taking taylor expansion of -1 in n 2.973 * [backup-simplify]: Simplify -1 into -1 2.973 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.973 * [taylor]: Taking taylor expansion of n in n 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.974 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.978 * [backup-simplify]: Simplify (+ 0 0) into 0 2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.979 * [backup-simplify]: Simplify (- 0) into 0 2.980 * [backup-simplify]: Simplify (+ 0 0) into 0 2.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.982 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.983 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.983 * [taylor]: Taking taylor expansion of 0 in n 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.987 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 2.987 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.989 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.992 * [backup-simplify]: Simplify (- 0) into 0 2.992 * [backup-simplify]: Simplify (+ 0 0) into 0 2.994 * [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))) 2.995 * [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)))) 2.996 * [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))) 2.996 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 2.996 * [taylor]: Taking taylor expansion of 2/3 in n 2.996 * [backup-simplify]: Simplify 2/3 into 2/3 2.997 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 2.997 * [taylor]: Taking taylor expansion of (exp -1) in n 2.997 * [taylor]: Taking taylor expansion of -1 in n 2.997 * [backup-simplify]: Simplify -1 into -1 2.997 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.997 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.997 * [taylor]: Taking taylor expansion of n in n 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.998 * [backup-simplify]: Simplify (* 1 1) into 1 2.998 * [backup-simplify]: Simplify (* 1 1) into 1 2.999 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.001 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.010 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.013 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.014 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 3.014 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 3.014 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.014 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.014 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.015 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.015 * [taylor]: Taking taylor expansion of f in n 3.015 * [backup-simplify]: Simplify f into f 3.015 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.015 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.015 * [taylor]: Taking taylor expansion of n in n 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (/ 1 1) into 1 3.015 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.015 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.015 * [taylor]: Taking taylor expansion of n in n 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify (/ 1 1) into 1 3.016 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.016 * [taylor]: Taking taylor expansion of f in n 3.016 * [backup-simplify]: Simplify f into f 3.016 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.016 * [backup-simplify]: Simplify (+ 0 1) into 1 3.017 * [backup-simplify]: Simplify (+ 1 0) into 1 3.017 * [backup-simplify]: Simplify (/ 1 1) into 1 3.017 * [backup-simplify]: Simplify (exp 1) into E 3.017 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.017 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.017 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.017 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.017 * [taylor]: Taking taylor expansion of f in f 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify (/ 1 1) into 1 3.018 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.018 * [taylor]: Taking taylor expansion of n in f 3.018 * [backup-simplify]: Simplify n into n 3.018 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.018 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.018 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.018 * [taylor]: Taking taylor expansion of n in f 3.018 * [backup-simplify]: Simplify n into n 3.018 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.018 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.018 * [taylor]: Taking taylor expansion of f in f 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify (/ 1 1) into 1 3.019 * [backup-simplify]: Simplify (+ 1 0) into 1 3.019 * [backup-simplify]: Simplify (- 1) into -1 3.019 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.020 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.020 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.020 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.020 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.020 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.020 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.020 * [taylor]: Taking taylor expansion of f in f 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 1 into 1 3.020 * [backup-simplify]: Simplify (/ 1 1) into 1 3.020 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.020 * [taylor]: Taking taylor expansion of n in f 3.020 * [backup-simplify]: Simplify n into n 3.020 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.020 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.020 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.020 * [taylor]: Taking taylor expansion of n in f 3.020 * [backup-simplify]: Simplify n into n 3.020 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.020 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.021 * [taylor]: Taking taylor expansion of f in f 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 1 into 1 3.021 * [backup-simplify]: Simplify (/ 1 1) into 1 3.021 * [backup-simplify]: Simplify (+ 1 0) into 1 3.021 * [backup-simplify]: Simplify (- 1) into -1 3.022 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.022 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.022 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.022 * [taylor]: Taking taylor expansion of (exp -1) in n 3.022 * [taylor]: Taking taylor expansion of -1 in n 3.022 * [backup-simplify]: Simplify -1 into -1 3.022 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.023 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.023 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (- 0) into 0 3.024 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.024 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.024 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.024 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 3.024 * [taylor]: Taking taylor expansion of -2 in n 3.025 * [backup-simplify]: Simplify -2 into -2 3.025 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 3.025 * [taylor]: Taking taylor expansion of (exp -1) in n 3.025 * [taylor]: Taking taylor expansion of -1 in n 3.025 * [backup-simplify]: Simplify -1 into -1 3.025 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.025 * [taylor]: Taking taylor expansion of n in n 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.026 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 3.027 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.029 * [backup-simplify]: Simplify (+ 0 0) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (- 0) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.030 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.031 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.031 * [taylor]: Taking taylor expansion of 0 in n 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.034 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 0) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.036 * [backup-simplify]: Simplify (- 0) into 0 3.036 * [backup-simplify]: Simplify (+ 0 0) into 0 3.037 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.038 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.038 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 3.038 * [taylor]: Taking taylor expansion of 2/3 in n 3.038 * [backup-simplify]: Simplify 2/3 into 2/3 3.038 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 3.038 * [taylor]: Taking taylor expansion of (exp -1) in n 3.038 * [taylor]: Taking taylor expansion of -1 in n 3.038 * [backup-simplify]: Simplify -1 into -1 3.039 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.039 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.039 * [taylor]: Taking taylor expansion of n in n 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.039 * [backup-simplify]: Simplify (* 1 1) into 1 3.039 * [backup-simplify]: Simplify (* 1 1) into 1 3.040 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.041 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.046 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.050 * * * * [progress]: [ 3 / 3 ] generating series at (2) 3.050 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 3.050 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.050 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.050 * [taylor]: Taking taylor expansion of -1 in n 3.050 * [backup-simplify]: Simplify -1 into -1 3.050 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.050 * [taylor]: Taking taylor expansion of (+ n f) in n 3.050 * [taylor]: Taking taylor expansion of n in n 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify 1 into 1 3.050 * [taylor]: Taking taylor expansion of f in n 3.050 * [backup-simplify]: Simplify f into f 3.050 * [taylor]: Taking taylor expansion of (- f n) in n 3.050 * [taylor]: Taking taylor expansion of f in n 3.050 * [backup-simplify]: Simplify f into f 3.050 * [taylor]: Taking taylor expansion of n in n 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 1 into 1 3.051 * [backup-simplify]: Simplify (+ 0 f) into f 3.051 * [backup-simplify]: Simplify (- 0) into 0 3.051 * [backup-simplify]: Simplify (+ f 0) into f 3.051 * [backup-simplify]: Simplify (/ f f) into 1 3.051 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.052 * [taylor]: Taking taylor expansion of -1 in f 3.052 * [backup-simplify]: Simplify -1 into -1 3.052 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.052 * [taylor]: Taking taylor expansion of (+ n f) in f 3.052 * [taylor]: Taking taylor expansion of n in f 3.052 * [backup-simplify]: Simplify n into n 3.052 * [taylor]: Taking taylor expansion of f in f 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.052 * [taylor]: Taking taylor expansion of (- f n) in f 3.052 * [taylor]: Taking taylor expansion of f in f 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.052 * [taylor]: Taking taylor expansion of n in f 3.052 * [backup-simplify]: Simplify n into n 3.052 * [backup-simplify]: Simplify (+ n 0) into n 3.052 * [backup-simplify]: Simplify (- n) into (- n) 3.052 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.052 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.052 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.052 * [taylor]: Taking taylor expansion of -1 in f 3.052 * [backup-simplify]: Simplify -1 into -1 3.052 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.052 * [taylor]: Taking taylor expansion of (+ n f) in f 3.052 * [taylor]: Taking taylor expansion of n in f 3.052 * [backup-simplify]: Simplify n into n 3.052 * [taylor]: Taking taylor expansion of f in f 3.052 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.053 * [taylor]: Taking taylor expansion of (- f n) in f 3.053 * [taylor]: Taking taylor expansion of f in f 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.053 * [taylor]: Taking taylor expansion of n in f 3.053 * [backup-simplify]: Simplify n into n 3.053 * [backup-simplify]: Simplify (+ n 0) into n 3.053 * [backup-simplify]: Simplify (- n) into (- n) 3.053 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.053 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.053 * [backup-simplify]: Simplify (* -1 -1) into 1 3.054 * [taylor]: Taking taylor expansion of 1 in n 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [backup-simplify]: Simplify (+ 0 1) into 1 3.054 * [backup-simplify]: Simplify (- 0) into 0 3.055 * [backup-simplify]: Simplify (+ 1 0) into 1 3.055 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.056 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.056 * [taylor]: Taking taylor expansion of 2 in n 3.056 * [backup-simplify]: Simplify 2 into 2 3.056 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.056 * [taylor]: Taking taylor expansion of n in n 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (/ 1 1) into 1 3.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify (+ 0 0) into 0 3.061 * [backup-simplify]: Simplify (- 0) into 0 3.061 * [backup-simplify]: Simplify (+ 0 0) into 0 3.062 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.063 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.063 * [taylor]: Taking taylor expansion of 2 in n 3.063 * [backup-simplify]: Simplify 2 into 2 3.063 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.063 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.063 * [taylor]: Taking taylor expansion of n in n 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify (* 1 1) into 1 3.064 * [backup-simplify]: Simplify (/ 1 1) into 1 3.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (+ 0 0) into 0 3.068 * [backup-simplify]: Simplify (- 0) into 0 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.068 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.069 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.069 * [taylor]: Taking taylor expansion of 2 in n 3.069 * [backup-simplify]: Simplify 2 into 2 3.069 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.069 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.069 * [taylor]: Taking taylor expansion of n in n 3.069 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify 1 into 1 3.069 * [backup-simplify]: Simplify (* 1 1) into 1 3.069 * [backup-simplify]: Simplify (* 1 1) into 1 3.070 * [backup-simplify]: Simplify (/ 1 1) into 1 3.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.075 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.075 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.075 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.075 * [taylor]: Taking taylor expansion of -1 in n 3.075 * [backup-simplify]: Simplify -1 into -1 3.075 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.075 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.075 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.075 * [taylor]: Taking taylor expansion of f in n 3.075 * [backup-simplify]: Simplify f into f 3.075 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.075 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.075 * [taylor]: Taking taylor expansion of n in n 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (/ 1 1) into 1 3.076 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.076 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.076 * [taylor]: Taking taylor expansion of f in n 3.076 * [backup-simplify]: Simplify f into f 3.076 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.076 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.076 * [taylor]: Taking taylor expansion of n in n 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (/ 1 1) into 1 3.076 * [backup-simplify]: Simplify (+ 0 1) into 1 3.076 * [backup-simplify]: Simplify (- 1) into -1 3.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.077 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.077 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.077 * [taylor]: Taking taylor expansion of -1 in f 3.077 * [backup-simplify]: Simplify -1 into -1 3.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.077 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.077 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.077 * [taylor]: Taking taylor expansion of f in f 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.077 * [backup-simplify]: Simplify (/ 1 1) into 1 3.077 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.077 * [taylor]: Taking taylor expansion of n in f 3.077 * [backup-simplify]: Simplify n into n 3.077 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.077 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.078 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.078 * [taylor]: Taking taylor expansion of f in f 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [backup-simplify]: Simplify (/ 1 1) into 1 3.078 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.078 * [taylor]: Taking taylor expansion of n in f 3.078 * [backup-simplify]: Simplify n into n 3.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.078 * [backup-simplify]: Simplify (+ 1 0) into 1 3.078 * [backup-simplify]: Simplify (+ 1 0) into 1 3.079 * [backup-simplify]: Simplify (/ 1 1) into 1 3.079 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.079 * [taylor]: Taking taylor expansion of -1 in f 3.079 * [backup-simplify]: Simplify -1 into -1 3.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.079 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.079 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.079 * [taylor]: Taking taylor expansion of f in f 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [backup-simplify]: Simplify (/ 1 1) into 1 3.079 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.079 * [taylor]: Taking taylor expansion of n in f 3.079 * [backup-simplify]: Simplify n into n 3.079 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.079 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.079 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.079 * [taylor]: Taking taylor expansion of f in f 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (/ 1 1) into 1 3.080 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.080 * [taylor]: Taking taylor expansion of n in f 3.080 * [backup-simplify]: Simplify n into n 3.080 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.080 * [backup-simplify]: Simplify (+ 1 0) into 1 3.080 * [backup-simplify]: Simplify (+ 1 0) into 1 3.080 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [backup-simplify]: Simplify (* -1 1) into -1 3.081 * [taylor]: Taking taylor expansion of -1 in n 3.081 * [backup-simplify]: Simplify -1 into -1 3.081 * [backup-simplify]: Simplify -1 into -1 3.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.081 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.082 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.082 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.082 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.082 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.082 * [taylor]: Taking taylor expansion of 2 in n 3.082 * [backup-simplify]: Simplify 2 into 2 3.082 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.082 * [taylor]: Taking taylor expansion of n in n 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (/ 1 1) into 1 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.084 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.084 * [backup-simplify]: Simplify (- 0) into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.085 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.086 * [backup-simplify]: Simplify (- 0) into 0 3.086 * [backup-simplify]: Simplify (+ 0 0) into 0 3.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.087 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.087 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.087 * [taylor]: Taking taylor expansion of 2 in n 3.087 * [backup-simplify]: Simplify 2 into 2 3.087 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.087 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.087 * [taylor]: Taking taylor expansion of n in n 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 1 into 1 3.087 * [backup-simplify]: Simplify (* 1 1) into 1 3.088 * [backup-simplify]: Simplify (/ 1 1) into 1 3.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.090 * [backup-simplify]: Simplify (- 0) into 0 3.090 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.092 * [backup-simplify]: Simplify (- 0) into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.095 * [backup-simplify]: Simplify (- 0) into 0 3.095 * [backup-simplify]: Simplify (+ 0 0) into 0 3.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.098 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.098 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.098 * [taylor]: Taking taylor expansion of 2 in n 3.098 * [backup-simplify]: Simplify 2 into 2 3.098 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.098 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.098 * [taylor]: Taking taylor expansion of n in n 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (* 1 1) into 1 3.099 * [backup-simplify]: Simplify (* 1 1) into 1 3.100 * [backup-simplify]: Simplify (/ 1 1) into 1 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (- 0) into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify -1 into -1 3.109 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.109 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.109 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.109 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.109 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.109 * [taylor]: Taking taylor expansion of f in n 3.109 * [backup-simplify]: Simplify f into f 3.109 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.109 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.109 * [taylor]: Taking taylor expansion of n in n 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 1 into 1 3.109 * [backup-simplify]: Simplify (/ 1 1) into 1 3.109 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.109 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.109 * [taylor]: Taking taylor expansion of n in n 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 1 into 1 3.109 * [backup-simplify]: Simplify (/ 1 1) into 1 3.110 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.110 * [taylor]: Taking taylor expansion of f in n 3.110 * [backup-simplify]: Simplify f into f 3.110 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.110 * [backup-simplify]: Simplify (+ 0 1) into 1 3.110 * [backup-simplify]: Simplify (+ 1 0) into 1 3.110 * [backup-simplify]: Simplify (/ 1 1) into 1 3.110 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.110 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.110 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.110 * [taylor]: Taking taylor expansion of f in f 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (/ 1 1) into 1 3.111 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.111 * [taylor]: Taking taylor expansion of n in f 3.111 * [backup-simplify]: Simplify n into n 3.111 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.111 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.111 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.111 * [taylor]: Taking taylor expansion of n in f 3.111 * [backup-simplify]: Simplify n into n 3.111 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.111 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.111 * [taylor]: Taking taylor expansion of f in f 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (/ 1 1) into 1 3.111 * [backup-simplify]: Simplify (+ 1 0) into 1 3.112 * [backup-simplify]: Simplify (- 1) into -1 3.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.112 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.112 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.112 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.112 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.112 * [taylor]: Taking taylor expansion of f in f 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (/ 1 1) into 1 3.113 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.113 * [taylor]: Taking taylor expansion of n in f 3.113 * [backup-simplify]: Simplify n into n 3.113 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.113 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.113 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.113 * [taylor]: Taking taylor expansion of n in f 3.113 * [backup-simplify]: Simplify n into n 3.113 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.113 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.113 * [taylor]: Taking taylor expansion of f in f 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (/ 1 1) into 1 3.113 * [backup-simplify]: Simplify (+ 1 0) into 1 3.114 * [backup-simplify]: Simplify (- 1) into -1 3.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.114 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.114 * [taylor]: Taking taylor expansion of -1 in n 3.114 * [backup-simplify]: Simplify -1 into -1 3.114 * [backup-simplify]: Simplify -1 into -1 3.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.115 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.115 * [backup-simplify]: Simplify (- 0) into 0 3.115 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.116 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.116 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.116 * [taylor]: Taking taylor expansion of 2 in n 3.116 * [backup-simplify]: Simplify 2 into 2 3.116 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.116 * [taylor]: Taking taylor expansion of n in n 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (/ 1 1) into 1 3.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.117 * [backup-simplify]: Simplify (- 0) into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.118 * [backup-simplify]: Simplify (+ 0 0) into 0 3.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (- 0) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.120 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.120 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.120 * [taylor]: Taking taylor expansion of 2 in n 3.120 * [backup-simplify]: Simplify 2 into 2 3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.120 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.120 * [taylor]: Taking taylor expansion of n in n 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [backup-simplify]: Simplify (* 1 1) into 1 3.120 * [backup-simplify]: Simplify (/ 1 1) into 1 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.123 * [backup-simplify]: Simplify (- 0) into 0 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.124 * [backup-simplify]: Simplify (- 0) into 0 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.125 * [backup-simplify]: Simplify (+ 0 0) into 0 3.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (- 0) into 0 3.126 * [backup-simplify]: Simplify (+ 0 0) into 0 3.127 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.127 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.127 * [taylor]: Taking taylor expansion of 2 in n 3.127 * [backup-simplify]: Simplify 2 into 2 3.127 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.127 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.127 * [taylor]: Taking taylor expansion of n in n 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (* 1 1) into 1 3.128 * [backup-simplify]: Simplify (* 1 1) into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (- 0) into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify -1 into -1 3.134 * * * [progress]: simplifying candidates 3.137 * [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 (- (+ 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(exp (/ -1 1))) (log (exp (/ -1 (+ (sqrt f) (sqrt n))))) (log (exp (/ -1 1))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))) (log (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- (sqrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (- (sqrt (+ f n))) 1))) (log (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- (sqrt (+ f n))) 1))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (sqrt (+ f n)) (sqrt (- f n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- (+ f n)))) (log (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))) (log (exp (/ (- (+ f n)) (- (* f f) (* n n))))) (log (log (exp (/ (- (+ f n)) (- f n))))) (exp (log (exp (/ (- (+ f n)) (- f n))))) (* (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (cbrt (log (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (* (* (log (exp (/ (- (+ f n)) (- f n)))) (log (exp (/ (- (+ f n)) (- f n))))) (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) 1 -1 -1 E (exp -1) (exp -1) 1 -1 -1 3.141 * * [simplify]: iteration 0: 247 enodes 3.192 * * [simplify]: iteration 1: 450 enodes 3.315 * * [simplify]: iteration 2: 1356 enodes 3.799 * * [simplify]: iteration complete: 5000 enodes 3.799 * * [simplify]: Extracting #0: cost 136 inf + 0 3.800 * * [simplify]: Extracting #1: cost 599 inf + 75 3.803 * * [simplify]: Extracting #2: cost 1330 inf + 886 3.832 * * [simplify]: Extracting #3: cost 1530 inf + 78359 3.921 * * [simplify]: Extracting #4: cost 319 inf + 337294 4.008 * * [simplify]: Extracting #5: cost 42 inf + 399953 4.084 * * [simplify]: Extracting #6: cost 8 inf + 408449 4.157 * * [simplify]: Extracting #7: cost 0 inf + 410471 4.259 * [simplify]: Simplified to: (expm1 (- (/ (+ n f) (- f n)))) (log1p (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n)))) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (cbrt (- (/ (+ n f) (- f n)))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (+ n f) (- (- f n)) 0 (/ (+ n f) (- 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 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f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (+ n f)) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (sqrt (+ n f)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 1 (- (+ f n)) (/ (- (+ f n)) (- (* f (* f f)) (* (* n n) n))) (- (/ 1 (- f n))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (cbrt (- (/ (+ n f) (- f n)))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) 1 -1 -1 E (exp -1) (exp -1) 1 -1 -1 4.274 * * * [progress]: adding candidates to table 5.539 * * [progress]: iteration 3 / 4 5.539 * * * [progress]: picking best candidate 5.546 * * * * [pick]: Picked # 5.547 * * * [progress]: localizing error 5.567 * * * [progress]: generating rewritten candidates 5.567 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.813 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.853 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 5.886 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 6.007 * * * [progress]: generating series expansions 6.007 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.008 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) into (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) 6.008 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in (f n) around 0 6.008 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in n 6.008 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.008 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.008 * [taylor]: Taking taylor expansion of -1 in n 6.008 * [backup-simplify]: Simplify -1 into -1 6.008 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.009 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.009 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in n 6.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in n 6.009 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in n 6.009 * [taylor]: Taking taylor expansion of 1/3 in n 6.009 * [backup-simplify]: Simplify 1/3 into 1/3 6.009 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in n 6.009 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 6.009 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 6.009 * [taylor]: Taking taylor expansion of (+ n f) in n 6.009 * [taylor]: Taking taylor expansion of n in n 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [taylor]: Taking taylor expansion of f in n 6.009 * [backup-simplify]: Simplify f into f 6.009 * [backup-simplify]: Simplify (+ 0 f) into f 6.009 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 6.009 * [taylor]: Taking taylor expansion of (- f n) in n 6.009 * [taylor]: Taking taylor expansion of f in n 6.009 * [backup-simplify]: Simplify f into f 6.009 * [taylor]: Taking taylor expansion of n in n 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.010 * [backup-simplify]: Simplify (- 0) into 0 6.010 * [backup-simplify]: Simplify (+ f 0) into f 6.010 * [backup-simplify]: Simplify (* f f) into (pow f 2) 6.010 * [backup-simplify]: Simplify (* f f) into (pow f 2) 6.010 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 6.010 * [backup-simplify]: Simplify (log 1) into 0 6.011 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.011 * [backup-simplify]: Simplify (+ 1 0) into 1 6.011 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 6.011 * [backup-simplify]: Simplify (- 1) into -1 6.012 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.012 * [backup-simplify]: Simplify (+ (* f -1) (* -1 f)) into (- (* 2 f)) 6.012 * [backup-simplify]: Simplify (- (/ (* 2 f) (pow f 2)) (+ (* 1 (/ (- (* 2 f)) (pow f 2))))) into (* 4 (/ 1 f)) 6.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 6.013 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 6.013 * [backup-simplify]: Simplify (exp 0) into 1 6.013 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 6.013 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 6.013 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.013 * [taylor]: Taking taylor expansion of -1 in f 6.013 * [backup-simplify]: Simplify -1 into -1 6.013 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.013 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.014 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 6.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 6.014 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 6.014 * [taylor]: Taking taylor expansion of 1/3 in f 6.014 * [backup-simplify]: Simplify 1/3 into 1/3 6.014 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 6.014 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 6.014 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 6.014 * [taylor]: Taking taylor expansion of (+ n f) in f 6.014 * [taylor]: Taking taylor expansion of n in f 6.014 * [backup-simplify]: Simplify n into n 6.014 * [taylor]: Taking taylor expansion of f in f 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 1 into 1 6.014 * [backup-simplify]: Simplify (+ n 0) into n 6.014 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 6.014 * [taylor]: Taking taylor expansion of (- f n) in f 6.014 * [taylor]: Taking taylor expansion of f in f 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 1 into 1 6.014 * [taylor]: Taking taylor expansion of n in f 6.014 * [backup-simplify]: Simplify n into n 6.014 * [backup-simplify]: Simplify (- n) into (- n) 6.014 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.014 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.014 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 6.014 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 6.014 * [backup-simplify]: Simplify (log 1) into 0 6.015 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.015 * [backup-simplify]: Simplify (+ 0 1) into 1 6.015 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 6.015 * [backup-simplify]: Simplify (- 0) into 0 6.016 * [backup-simplify]: Simplify (+ 1 0) into 1 6.016 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 6.016 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 6.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.017 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.017 * [backup-simplify]: Simplify (exp 0) into 1 6.017 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3)) in f 6.017 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 6.017 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.017 * [taylor]: Taking taylor expansion of -1 in f 6.017 * [backup-simplify]: Simplify -1 into -1 6.017 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.017 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.017 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ n f) 2) (pow (- f n) 2)) 1/3) in f 6.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2))))) in f 6.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ n f) 2) (pow (- f n) 2)))) in f 6.017 * [taylor]: Taking taylor expansion of 1/3 in f 6.018 * [backup-simplify]: Simplify 1/3 into 1/3 6.018 * [taylor]: Taking taylor expansion of (log (/ (pow (+ n f) 2) (pow (- f n) 2))) in f 6.018 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 6.018 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 6.018 * [taylor]: Taking taylor expansion of (+ n f) in f 6.018 * [taylor]: Taking taylor expansion of n in f 6.018 * [backup-simplify]: Simplify n into n 6.018 * [taylor]: Taking taylor expansion of f in f 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 1 into 1 6.018 * [backup-simplify]: Simplify (+ n 0) into n 6.018 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 6.018 * [taylor]: Taking taylor expansion of (- f n) in f 6.018 * [taylor]: Taking taylor expansion of f in f 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 1 into 1 6.018 * [taylor]: Taking taylor expansion of n in f 6.018 * [backup-simplify]: Simplify n into n 6.018 * [backup-simplify]: Simplify (- n) into (- n) 6.018 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.018 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.018 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 6.018 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 6.018 * [backup-simplify]: Simplify (log 1) into 0 6.019 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.019 * [backup-simplify]: Simplify (+ 0 1) into 1 6.019 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 6.019 * [backup-simplify]: Simplify (- 0) into 0 6.020 * [backup-simplify]: Simplify (+ 1 0) into 1 6.020 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 6.020 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 6.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.021 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.021 * [backup-simplify]: Simplify (exp 0) into 1 6.022 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.024 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.024 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.024 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.024 * [taylor]: Taking taylor expansion of -1 in n 6.024 * [backup-simplify]: Simplify -1 into -1 6.025 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.025 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.027 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.028 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 6.028 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 6.029 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.030 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 4/3 n)) (* 0 1)) into (* 4/3 (/ (pow (cbrt -1) 2) n)) 6.030 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 6.030 * [taylor]: Taking taylor expansion of 4/3 in n 6.030 * [backup-simplify]: Simplify 4/3 into 4/3 6.030 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 6.030 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.030 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.030 * [taylor]: Taking taylor expansion of -1 in n 6.030 * [backup-simplify]: Simplify -1 into -1 6.030 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.031 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.031 * [taylor]: Taking taylor expansion of n in n 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.033 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.033 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.034 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow (cbrt -1) 2))) into 0 6.034 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.035 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify (+ 0 0) into 0 6.036 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 6.036 * [backup-simplify]: Simplify (- 0) into 0 6.037 * [backup-simplify]: Simplify (+ 0 0) into 0 6.037 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 6.037 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 6.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 6.039 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 6.039 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 6.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.041 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.042 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1))) into (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) 6.042 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 6.042 * [taylor]: Taking taylor expansion of 8/9 in n 6.042 * [backup-simplify]: Simplify 8/9 into 8/9 6.042 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 6.042 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.042 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.042 * [taylor]: Taking taylor expansion of -1 in n 6.042 * [backup-simplify]: Simplify -1 into -1 6.042 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.043 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.043 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.043 * [taylor]: Taking taylor expansion of n in n 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.044 * [backup-simplify]: Simplify (* 1 1) into 1 6.045 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.046 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.048 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.052 * [backup-simplify]: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.064 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 6.066 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.068 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify (+ 0 0) into 0 6.069 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 6.069 * [backup-simplify]: Simplify (- 0) into 0 6.069 * [backup-simplify]: Simplify (+ 0 0) into 0 6.070 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 6.070 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 6.072 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 6.073 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 6.074 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 6.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.075 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.076 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (/ 68/81 (pow n 3))) (+ (* 0 (/ 8/9 (pow n 2))) (+ (* 0 (/ 4/3 n)) (* 0 1)))) into (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) 6.076 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 6.077 * [taylor]: Taking taylor expansion of 68/81 in n 6.077 * [backup-simplify]: Simplify 68/81 into 68/81 6.077 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 6.077 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.077 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.077 * [taylor]: Taking taylor expansion of -1 in n 6.077 * [backup-simplify]: Simplify -1 into -1 6.077 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.077 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.077 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.077 * [taylor]: Taking taylor expansion of n in n 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 1 into 1 6.078 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.078 * [backup-simplify]: Simplify (* 1 1) into 1 6.079 * [backup-simplify]: Simplify (* 1 1) into 1 6.080 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.082 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.085 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.087 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (+ (* 68/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 6.091 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 6.093 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) 6.093 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in (f n) around 0 6.093 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in n 6.093 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in n 6.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in n 6.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in n 6.093 * [taylor]: Taking taylor expansion of 1/3 in n 6.093 * [backup-simplify]: Simplify 1/3 into 1/3 6.094 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in n 6.094 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 6.094 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 6.094 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.094 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.094 * [taylor]: Taking taylor expansion of f in n 6.094 * [backup-simplify]: Simplify f into f 6.094 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.094 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.094 * [taylor]: Taking taylor expansion of n in n 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.094 * [backup-simplify]: Simplify (/ 1 1) into 1 6.095 * [backup-simplify]: Simplify (+ 0 1) into 1 6.095 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 6.095 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.095 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.095 * [taylor]: Taking taylor expansion of f in n 6.095 * [backup-simplify]: Simplify f into f 6.095 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.095 * [taylor]: Taking taylor expansion of n in n 6.095 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify (/ 1 1) into 1 6.096 * [backup-simplify]: Simplify (- 1) into -1 6.096 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.097 * [backup-simplify]: Simplify (* 1 1) into 1 6.097 * [backup-simplify]: Simplify (* -1 -1) into 1 6.097 * [backup-simplify]: Simplify (/ 1 1) into 1 6.098 * [backup-simplify]: Simplify (log 1) into 0 6.098 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.099 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 6.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.100 * [backup-simplify]: Simplify (- 0) into 0 6.100 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.100 * [backup-simplify]: Simplify (+ (* -1 (/ 1 f)) (* (/ 1 f) -1)) into (- (* 2 (/ 1 f))) 6.100 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 6.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 6.102 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 6.102 * [backup-simplify]: Simplify (exp 0) into 1 6.102 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.102 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.102 * [taylor]: Taking taylor expansion of -1 in n 6.102 * [backup-simplify]: Simplify -1 into -1 6.102 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.103 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.103 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in f 6.103 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 6.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 6.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 6.103 * [taylor]: Taking taylor expansion of 1/3 in f 6.103 * [backup-simplify]: Simplify 1/3 into 1/3 6.103 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 6.103 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 6.103 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 6.103 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.103 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.103 * [taylor]: Taking taylor expansion of f in f 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [backup-simplify]: Simplify (/ 1 1) into 1 6.104 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.104 * [taylor]: Taking taylor expansion of n in f 6.104 * [backup-simplify]: Simplify n into n 6.104 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.104 * [backup-simplify]: Simplify (+ 1 0) into 1 6.104 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 6.105 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.105 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.105 * [taylor]: Taking taylor expansion of f in f 6.105 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify 1 into 1 6.105 * [backup-simplify]: Simplify (/ 1 1) into 1 6.105 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.105 * [taylor]: Taking taylor expansion of n in f 6.105 * [backup-simplify]: Simplify n into n 6.105 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.106 * [backup-simplify]: Simplify (+ 1 0) into 1 6.106 * [backup-simplify]: Simplify (* 1 1) into 1 6.106 * [backup-simplify]: Simplify (* 1 1) into 1 6.107 * [backup-simplify]: Simplify (/ 1 1) into 1 6.107 * [backup-simplify]: Simplify (log 1) into 0 6.107 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.108 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.108 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.109 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.109 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.109 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 6.110 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 6.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.111 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.111 * [backup-simplify]: Simplify (exp 0) into 1 6.111 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 6.111 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.111 * [taylor]: Taking taylor expansion of -1 in f 6.111 * [backup-simplify]: Simplify -1 into -1 6.111 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.112 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.112 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) (pow (cbrt -1) 2)) in f 6.112 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 1/3) in f 6.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))))) in f 6.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)))) in f 6.112 * [taylor]: Taking taylor expansion of 1/3 in f 6.112 * [backup-simplify]: Simplify 1/3 into 1/3 6.112 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2))) in f 6.112 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 6.112 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 6.112 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.112 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.112 * [taylor]: Taking taylor expansion of f in f 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.113 * [backup-simplify]: Simplify (/ 1 1) into 1 6.113 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.113 * [taylor]: Taking taylor expansion of n in f 6.113 * [backup-simplify]: Simplify n into n 6.113 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.113 * [backup-simplify]: Simplify (+ 1 0) into 1 6.113 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 6.113 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.113 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.113 * [taylor]: Taking taylor expansion of f in f 6.114 * [backup-simplify]: Simplify 0 into 0 6.114 * [backup-simplify]: Simplify 1 into 1 6.114 * [backup-simplify]: Simplify (/ 1 1) into 1 6.114 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.114 * [taylor]: Taking taylor expansion of n in f 6.114 * [backup-simplify]: Simplify n into n 6.114 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.114 * [backup-simplify]: Simplify (+ 1 0) into 1 6.115 * [backup-simplify]: Simplify (* 1 1) into 1 6.115 * [backup-simplify]: Simplify (* 1 1) into 1 6.115 * [backup-simplify]: Simplify (/ 1 1) into 1 6.116 * [backup-simplify]: Simplify (log 1) into 0 6.116 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.117 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 6.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.118 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.118 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.118 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 6.119 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 6.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.120 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.120 * [backup-simplify]: Simplify (exp 0) into 1 6.120 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 6.120 * [taylor]: Taking taylor expansion of (cbrt -1) in f 6.120 * [taylor]: Taking taylor expansion of -1 in f 6.120 * [backup-simplify]: Simplify -1 into -1 6.120 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.121 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.122 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.124 * [backup-simplify]: Simplify (* 1 (pow (cbrt -1) 2)) into (pow (cbrt -1) 2) 6.124 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.124 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.124 * [taylor]: Taking taylor expansion of -1 in n 6.124 * [backup-simplify]: Simplify -1 into -1 6.124 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.124 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.125 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.126 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 6.126 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.127 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 6.128 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 4/3 n) (pow (cbrt -1) 2))) into (* 4/3 (/ (pow (cbrt -1) 2) n)) 6.128 * [taylor]: Taking taylor expansion of (* 4/3 (/ (pow (cbrt -1) 2) n)) in n 6.128 * [taylor]: Taking taylor expansion of 4/3 in n 6.128 * [backup-simplify]: Simplify 4/3 into 4/3 6.128 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 6.128 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.128 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.128 * [taylor]: Taking taylor expansion of -1 in n 6.128 * [backup-simplify]: Simplify -1 into -1 6.128 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.128 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.129 * [taylor]: Taking taylor expansion of n in n 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.130 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.131 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.132 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow (cbrt -1) 2))) into 0 6.132 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.133 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.134 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.135 * [backup-simplify]: Simplify (+ 0 0) into 0 6.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 6.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.137 * [backup-simplify]: Simplify (- 0) into 0 6.137 * [backup-simplify]: Simplify (+ 0 0) into 0 6.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 6.138 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 6.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 6.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 6.140 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 6.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 4/3 n) 0) (* (/ 8/9 (pow n 2)) (pow (cbrt -1) 2)))) into (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) 6.141 * [taylor]: Taking taylor expansion of (* 8/9 (/ (pow (cbrt -1) 2) (pow n 2))) in n 6.141 * [taylor]: Taking taylor expansion of 8/9 in n 6.141 * [backup-simplify]: Simplify 8/9 into 8/9 6.141 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 6.141 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.141 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.141 * [taylor]: Taking taylor expansion of -1 in n 6.141 * [backup-simplify]: Simplify -1 into -1 6.142 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.142 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.142 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.142 * [taylor]: Taking taylor expansion of n in n 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 1 into 1 6.143 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.143 * [backup-simplify]: Simplify (* 1 1) into 1 6.144 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.146 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.147 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.151 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.153 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 6.153 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.156 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.156 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.159 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.160 * [backup-simplify]: Simplify (+ 0 0) into 0 6.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.163 * [backup-simplify]: Simplify (- 0) into 0 6.163 * [backup-simplify]: Simplify (+ 0 0) into 0 6.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 6.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 6.168 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 6.168 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 6.169 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 6.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 4/3 n) 0) (+ (* (/ 8/9 (pow n 2)) 0) (* (/ 68/81 (pow n 3)) (pow (cbrt -1) 2))))) into (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) 6.175 * [taylor]: Taking taylor expansion of (* 68/81 (/ (pow (cbrt -1) 2) (pow n 3))) in n 6.175 * [taylor]: Taking taylor expansion of 68/81 in n 6.175 * [backup-simplify]: Simplify 68/81 into 68/81 6.175 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 6.175 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 6.175 * [taylor]: Taking taylor expansion of (cbrt -1) in n 6.175 * [taylor]: Taking taylor expansion of -1 in n 6.175 * [backup-simplify]: Simplify -1 into -1 6.176 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.176 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.176 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.176 * [taylor]: Taking taylor expansion of n in n 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 1 into 1 6.177 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.177 * [backup-simplify]: Simplify (* 1 1) into 1 6.177 * [backup-simplify]: Simplify (* 1 1) into 1 6.179 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 6.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.181 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.183 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 6.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.186 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (+ (* 68/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 6.188 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 6.189 * [backup-simplify]: Simplify (* (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) 6.189 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in (f n) around 0 6.189 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in n 6.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in n 6.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in n 6.190 * [taylor]: Taking taylor expansion of 1/3 in n 6.190 * [backup-simplify]: Simplify 1/3 into 1/3 6.190 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in n 6.190 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 6.190 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 6.190 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.190 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.190 * [taylor]: Taking taylor expansion of f in n 6.190 * [backup-simplify]: Simplify f into f 6.190 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.190 * [taylor]: Taking taylor expansion of n in n 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.190 * [backup-simplify]: Simplify (/ 1 1) into 1 6.190 * [backup-simplify]: Simplify (+ 0 1) into 1 6.190 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 6.190 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.190 * [taylor]: Taking taylor expansion of n in n 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.191 * [backup-simplify]: Simplify (/ 1 1) into 1 6.191 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.191 * [taylor]: Taking taylor expansion of f in n 6.191 * [backup-simplify]: Simplify f into f 6.191 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.191 * [backup-simplify]: Simplify (+ 1 0) into 1 6.191 * [backup-simplify]: Simplify (* 1 1) into 1 6.191 * [backup-simplify]: Simplify (* 1 1) into 1 6.192 * [backup-simplify]: Simplify (/ 1 1) into 1 6.192 * [backup-simplify]: Simplify (log 1) into 0 6.192 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.193 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.193 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 6.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.193 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 6.193 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 6.193 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 f))) (* (- (/ 1 f)) 1)) into (- (* 2 (/ 1 f))) 6.194 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 6.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) 6.194 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) 6.194 * [backup-simplify]: Simplify (exp 0) into 1 6.194 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 6.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 6.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 6.194 * [taylor]: Taking taylor expansion of 1/3 in f 6.194 * [backup-simplify]: Simplify 1/3 into 1/3 6.194 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 6.195 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 6.195 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 6.195 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.195 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.195 * [taylor]: Taking taylor expansion of f in f 6.195 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify 1 into 1 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.195 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.195 * [taylor]: Taking taylor expansion of n in f 6.195 * [backup-simplify]: Simplify n into n 6.195 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.195 * [backup-simplify]: Simplify (+ 1 0) into 1 6.195 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 6.195 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.195 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.195 * [taylor]: Taking taylor expansion of n in f 6.195 * [backup-simplify]: Simplify n into n 6.195 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.195 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.195 * [taylor]: Taking taylor expansion of f in f 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 1 into 1 6.196 * [backup-simplify]: Simplify (/ 1 1) into 1 6.196 * [backup-simplify]: Simplify (- 1) into -1 6.197 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.197 * [backup-simplify]: Simplify (* 1 1) into 1 6.197 * [backup-simplify]: Simplify (* -1 -1) into 1 6.198 * [backup-simplify]: Simplify (/ 1 1) into 1 6.198 * [backup-simplify]: Simplify (log 1) into 0 6.198 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.199 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.199 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 6.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.201 * [backup-simplify]: Simplify (- 0) into 0 6.201 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.201 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 6.201 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 6.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.203 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.203 * [backup-simplify]: Simplify (exp 0) into 1 6.203 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 1/3) in f 6.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))))) in f 6.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)))) in f 6.203 * [taylor]: Taking taylor expansion of 1/3 in f 6.203 * [backup-simplify]: Simplify 1/3 into 1/3 6.203 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2))) in f 6.203 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 6.203 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 6.203 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.203 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.203 * [taylor]: Taking taylor expansion of f in f 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 1 into 1 6.203 * [backup-simplify]: Simplify (/ 1 1) into 1 6.203 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.203 * [taylor]: Taking taylor expansion of n in f 6.204 * [backup-simplify]: Simplify n into n 6.204 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.204 * [backup-simplify]: Simplify (+ 1 0) into 1 6.204 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 6.204 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.204 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.204 * [taylor]: Taking taylor expansion of n in f 6.204 * [backup-simplify]: Simplify n into n 6.204 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.204 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.204 * [taylor]: Taking taylor expansion of f in f 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (/ 1 1) into 1 6.205 * [backup-simplify]: Simplify (- 1) into -1 6.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.206 * [backup-simplify]: Simplify (* 1 1) into 1 6.206 * [backup-simplify]: Simplify (* -1 -1) into 1 6.207 * [backup-simplify]: Simplify (/ 1 1) into 1 6.207 * [backup-simplify]: Simplify (log 1) into 0 6.207 * [backup-simplify]: Simplify (* 1/3 0) into 0 6.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.208 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.208 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 6.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.210 * [backup-simplify]: Simplify (- 0) into 0 6.210 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.210 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 6.210 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 6.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) 6.211 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) 6.211 * [backup-simplify]: Simplify (exp 0) into 1 6.211 * [taylor]: Taking taylor expansion of 1 in n 6.211 * [backup-simplify]: Simplify 1 into 1 6.211 * [backup-simplify]: Simplify 1 into 1 6.212 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 1) 1)))) into (/ 4/3 n) 6.212 * [taylor]: Taking taylor expansion of (/ 4/3 n) in n 6.212 * [taylor]: Taking taylor expansion of 4/3 in n 6.212 * [backup-simplify]: Simplify 4/3 into 4/3 6.212 * [taylor]: Taking taylor expansion of n in n 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify 1 into 1 6.212 * [backup-simplify]: Simplify (/ 4/3 1) into 4/3 6.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.215 * [backup-simplify]: Simplify (+ 0 0) into 0 6.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 6.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.217 * [backup-simplify]: Simplify (- 0) into 0 6.217 * [backup-simplify]: Simplify (+ 0 0) into 0 6.218 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 6.219 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 6.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 6.221 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 n)) (* 0 0))) into 0 6.222 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow n 2)) 6.222 * [taylor]: Taking taylor expansion of (/ 8/9 (pow n 2)) in n 6.222 * [taylor]: Taking taylor expansion of 8/9 in n 6.222 * [backup-simplify]: Simplify 8/9 into 8/9 6.222 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.222 * [taylor]: Taking taylor expansion of n in n 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 1 into 1 6.223 * [backup-simplify]: Simplify (* 1 1) into 1 6.223 * [backup-simplify]: Simplify (/ 8/9 1) into 8/9 6.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 6.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.227 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.229 * [backup-simplify]: Simplify (+ 0 0) into 0 6.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 6.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.231 * [backup-simplify]: Simplify (- 0) into 0 6.232 * [backup-simplify]: Simplify (+ 0 0) into 0 6.233 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 6.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 6.236 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 4 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1) (pow (* 2 (* 8 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow n 3)) 6.237 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 4 n)) (* 0 0)))) into (* 4/9 (/ 1 (pow n 3))) 6.239 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 68/81 (pow n 3)) 6.239 * [taylor]: Taking taylor expansion of (/ 68/81 (pow n 3)) in n 6.239 * [taylor]: Taking taylor expansion of 68/81 in n 6.239 * [backup-simplify]: Simplify 68/81 into 68/81 6.239 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.239 * [taylor]: Taking taylor expansion of n in n 6.239 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify 1 into 1 6.239 * [backup-simplify]: Simplify (* 1 1) into 1 6.239 * [backup-simplify]: Simplify (* 1 1) into 1 6.240 * [backup-simplify]: Simplify (/ 68/81 1) into 68/81 6.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 6.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 1 into 1 6.244 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 6.245 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 6.245 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.245 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.245 * [taylor]: Taking taylor expansion of -1 in n 6.245 * [backup-simplify]: Simplify -1 into -1 6.245 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.245 * [taylor]: Taking taylor expansion of (+ n f) in n 6.245 * [taylor]: Taking taylor expansion of n in n 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [taylor]: Taking taylor expansion of f in n 6.245 * [backup-simplify]: Simplify f into f 6.245 * [taylor]: Taking taylor expansion of (- f n) in n 6.245 * [taylor]: Taking taylor expansion of f in n 6.245 * [backup-simplify]: Simplify f into f 6.245 * [taylor]: Taking taylor expansion of n in n 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [backup-simplify]: Simplify (+ 0 f) into f 6.245 * [backup-simplify]: Simplify (- 0) into 0 6.245 * [backup-simplify]: Simplify (+ f 0) into f 6.245 * [backup-simplify]: Simplify (/ f f) into 1 6.245 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.245 * [taylor]: Taking taylor expansion of -1 in f 6.245 * [backup-simplify]: Simplify -1 into -1 6.245 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.245 * [taylor]: Taking taylor expansion of (+ n f) in f 6.245 * [taylor]: Taking taylor expansion of n in f 6.245 * [backup-simplify]: Simplify n into n 6.245 * [taylor]: Taking taylor expansion of f in f 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [taylor]: Taking taylor expansion of (- f n) in f 6.245 * [taylor]: Taking taylor expansion of f in f 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [taylor]: Taking taylor expansion of n in f 6.245 * [backup-simplify]: Simplify n into n 6.246 * [backup-simplify]: Simplify (+ n 0) into n 6.246 * [backup-simplify]: Simplify (- n) into (- n) 6.246 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.246 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.246 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.246 * [taylor]: Taking taylor expansion of -1 in f 6.246 * [backup-simplify]: Simplify -1 into -1 6.246 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.246 * [taylor]: Taking taylor expansion of (+ n f) in f 6.246 * [taylor]: Taking taylor expansion of n in f 6.246 * [backup-simplify]: Simplify n into n 6.246 * [taylor]: Taking taylor expansion of f in f 6.246 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify 1 into 1 6.246 * [taylor]: Taking taylor expansion of (- f n) in f 6.246 * [taylor]: Taking taylor expansion of f in f 6.246 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify 1 into 1 6.246 * [taylor]: Taking taylor expansion of n in f 6.246 * [backup-simplify]: Simplify n into n 6.246 * [backup-simplify]: Simplify (+ n 0) into n 6.246 * [backup-simplify]: Simplify (- n) into (- n) 6.246 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.246 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.246 * [backup-simplify]: Simplify (* -1 -1) into 1 6.246 * [taylor]: Taking taylor expansion of 1 in n 6.246 * [backup-simplify]: Simplify 1 into 1 6.246 * [backup-simplify]: Simplify 1 into 1 6.247 * [backup-simplify]: Simplify (+ 0 1) into 1 6.247 * [backup-simplify]: Simplify (- 0) into 0 6.247 * [backup-simplify]: Simplify (+ 1 0) into 1 6.247 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.248 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.248 * [taylor]: Taking taylor expansion of 2 in n 6.248 * [backup-simplify]: Simplify 2 into 2 6.248 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.248 * [taylor]: Taking taylor expansion of n in n 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [backup-simplify]: Simplify (/ 1 1) into 1 6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.249 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify (+ 0 0) into 0 6.249 * [backup-simplify]: Simplify (- 0) into 0 6.250 * [backup-simplify]: Simplify (+ 0 0) into 0 6.250 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.250 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.250 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.250 * [taylor]: Taking taylor expansion of 2 in n 6.250 * [backup-simplify]: Simplify 2 into 2 6.250 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.250 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.250 * [taylor]: Taking taylor expansion of n in n 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 1 into 1 6.251 * [backup-simplify]: Simplify (* 1 1) into 1 6.251 * [backup-simplify]: Simplify (/ 1 1) into 1 6.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.253 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.253 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify (+ 0 0) into 0 6.255 * [backup-simplify]: Simplify (- 0) into 0 6.255 * [backup-simplify]: Simplify (+ 0 0) into 0 6.256 * [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)))) 6.256 * [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))) 6.256 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.256 * [taylor]: Taking taylor expansion of 2 in n 6.256 * [backup-simplify]: Simplify 2 into 2 6.256 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.256 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.256 * [taylor]: Taking taylor expansion of n in n 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 1 into 1 6.257 * [backup-simplify]: Simplify (* 1 1) into 1 6.257 * [backup-simplify]: Simplify (* 1 1) into 1 6.257 * [backup-simplify]: Simplify (/ 1 1) into 1 6.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.265 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify 1 into 1 6.265 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.265 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.266 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.266 * [taylor]: Taking taylor expansion of -1 in n 6.266 * [backup-simplify]: Simplify -1 into -1 6.266 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.266 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.266 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.266 * [taylor]: Taking taylor expansion of f in n 6.266 * [backup-simplify]: Simplify f into f 6.266 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.266 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.266 * [taylor]: Taking taylor expansion of n in n 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (/ 1 1) into 1 6.266 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.266 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.266 * [taylor]: Taking taylor expansion of f in n 6.266 * [backup-simplify]: Simplify f into f 6.267 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.267 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.267 * [taylor]: Taking taylor expansion of n in n 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 1 into 1 6.267 * [backup-simplify]: Simplify (/ 1 1) into 1 6.267 * [backup-simplify]: Simplify (+ 0 1) into 1 6.268 * [backup-simplify]: Simplify (- 1) into -1 6.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.269 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.269 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.269 * [taylor]: Taking taylor expansion of -1 in f 6.269 * [backup-simplify]: Simplify -1 into -1 6.269 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.269 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.269 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.269 * [taylor]: Taking taylor expansion of f in f 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify (/ 1 1) into 1 6.269 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.269 * [taylor]: Taking taylor expansion of n in f 6.269 * [backup-simplify]: Simplify n into n 6.270 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.270 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.270 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.270 * [taylor]: Taking taylor expansion of f in f 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [backup-simplify]: Simplify (/ 1 1) into 1 6.270 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.270 * [taylor]: Taking taylor expansion of n in f 6.270 * [backup-simplify]: Simplify n into n 6.270 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.271 * [backup-simplify]: Simplify (+ 1 0) into 1 6.271 * [backup-simplify]: Simplify (+ 1 0) into 1 6.272 * [backup-simplify]: Simplify (/ 1 1) into 1 6.273 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.273 * [taylor]: Taking taylor expansion of -1 in f 6.273 * [backup-simplify]: Simplify -1 into -1 6.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.273 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.273 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.273 * [taylor]: Taking taylor expansion of f in f 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [backup-simplify]: Simplify (/ 1 1) into 1 6.273 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.273 * [taylor]: Taking taylor expansion of n in f 6.273 * [backup-simplify]: Simplify n into n 6.273 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.273 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.273 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.273 * [taylor]: Taking taylor expansion of f in f 6.273 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify 1 into 1 6.274 * [backup-simplify]: Simplify (/ 1 1) into 1 6.274 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.274 * [taylor]: Taking taylor expansion of n in f 6.274 * [backup-simplify]: Simplify n into n 6.274 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.274 * [backup-simplify]: Simplify (+ 1 0) into 1 6.275 * [backup-simplify]: Simplify (+ 1 0) into 1 6.275 * [backup-simplify]: Simplify (/ 1 1) into 1 6.276 * [backup-simplify]: Simplify (* -1 1) into -1 6.276 * [taylor]: Taking taylor expansion of -1 in n 6.276 * [backup-simplify]: Simplify -1 into -1 6.276 * [backup-simplify]: Simplify -1 into -1 6.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.278 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.278 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.278 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.279 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.279 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.279 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.279 * [taylor]: Taking taylor expansion of 2 in n 6.279 * [backup-simplify]: Simplify 2 into 2 6.279 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.279 * [taylor]: Taking taylor expansion of n in n 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 1 into 1 6.279 * [backup-simplify]: Simplify (/ 1 1) into 1 6.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.281 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.281 * [backup-simplify]: Simplify (- 0) into 0 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.283 * [backup-simplify]: Simplify (+ 0 0) into 0 6.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.285 * [backup-simplify]: Simplify (- 0) into 0 6.285 * [backup-simplify]: Simplify (+ 0 0) into 0 6.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.287 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.287 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.287 * [taylor]: Taking taylor expansion of 2 in n 6.287 * [backup-simplify]: Simplify 2 into 2 6.287 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.287 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.287 * [taylor]: Taking taylor expansion of n in n 6.287 * [backup-simplify]: Simplify 0 into 0 6.287 * [backup-simplify]: Simplify 1 into 1 6.288 * [backup-simplify]: Simplify (* 1 1) into 1 6.288 * [backup-simplify]: Simplify (/ 1 1) into 1 6.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.299 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.300 * [backup-simplify]: Simplify (- 0) into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.302 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.302 * [backup-simplify]: Simplify (- 0) into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.304 * [backup-simplify]: Simplify (+ 0 0) into 0 6.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.305 * [backup-simplify]: Simplify (- 0) into 0 6.306 * [backup-simplify]: Simplify (+ 0 0) into 0 6.307 * [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))) 6.309 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.309 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.309 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.309 * [taylor]: Taking taylor expansion of 2 in n 6.309 * [backup-simplify]: Simplify 2 into 2 6.309 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.309 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.309 * [taylor]: Taking taylor expansion of n in n 6.309 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify 1 into 1 6.309 * [backup-simplify]: Simplify (* 1 1) into 1 6.310 * [backup-simplify]: Simplify (* 1 1) into 1 6.310 * [backup-simplify]: Simplify (/ 1 1) into 1 6.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.320 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.321 * [backup-simplify]: Simplify (- 0) into 0 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify -1 into -1 6.321 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.321 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.321 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.321 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.321 * [taylor]: Taking taylor expansion of f in n 6.321 * [backup-simplify]: Simplify f into f 6.321 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.321 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.321 * [taylor]: Taking taylor expansion of n in n 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 1 into 1 6.322 * [backup-simplify]: Simplify (/ 1 1) into 1 6.322 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.322 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.322 * [taylor]: Taking taylor expansion of n in n 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 1 into 1 6.322 * [backup-simplify]: Simplify (/ 1 1) into 1 6.322 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.323 * [taylor]: Taking taylor expansion of f in n 6.323 * [backup-simplify]: Simplify f into f 6.323 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.323 * [backup-simplify]: Simplify (+ 0 1) into 1 6.324 * [backup-simplify]: Simplify (+ 1 0) into 1 6.324 * [backup-simplify]: Simplify (/ 1 1) into 1 6.324 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.324 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.324 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.324 * [taylor]: Taking taylor expansion of f in f 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 1 into 1 6.324 * [backup-simplify]: Simplify (/ 1 1) into 1 6.325 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.325 * [taylor]: Taking taylor expansion of n in f 6.325 * [backup-simplify]: Simplify n into n 6.325 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.325 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.325 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.325 * [taylor]: Taking taylor expansion of n in f 6.325 * [backup-simplify]: Simplify n into n 6.325 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.325 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.325 * [taylor]: Taking taylor expansion of f in f 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 1 into 1 6.325 * [backup-simplify]: Simplify (/ 1 1) into 1 6.326 * [backup-simplify]: Simplify (+ 1 0) into 1 6.326 * [backup-simplify]: Simplify (- 1) into -1 6.327 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.327 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.327 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.327 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.327 * [taylor]: Taking taylor expansion of f in f 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 1 into 1 6.328 * [backup-simplify]: Simplify (/ 1 1) into 1 6.328 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.328 * [taylor]: Taking taylor expansion of n in f 6.328 * [backup-simplify]: Simplify n into n 6.328 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.328 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.328 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.328 * [taylor]: Taking taylor expansion of n in f 6.328 * [backup-simplify]: Simplify n into n 6.328 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.328 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.328 * [taylor]: Taking taylor expansion of f in f 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 1 into 1 6.328 * [backup-simplify]: Simplify (/ 1 1) into 1 6.329 * [backup-simplify]: Simplify (+ 1 0) into 1 6.329 * [backup-simplify]: Simplify (- 1) into -1 6.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.330 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.330 * [taylor]: Taking taylor expansion of -1 in n 6.330 * [backup-simplify]: Simplify -1 into -1 6.330 * [backup-simplify]: Simplify -1 into -1 6.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.331 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (- 0) into 0 6.332 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.333 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.333 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.333 * [taylor]: Taking taylor expansion of 2 in n 6.333 * [backup-simplify]: Simplify 2 into 2 6.333 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.333 * [taylor]: Taking taylor expansion of n in n 6.333 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify 1 into 1 6.333 * [backup-simplify]: Simplify (/ 1 1) into 1 6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.335 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.335 * [backup-simplify]: Simplify (- 0) into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.337 * [backup-simplify]: Simplify (+ 0 0) into 0 6.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.338 * [backup-simplify]: Simplify (- 0) into 0 6.339 * [backup-simplify]: Simplify (+ 0 0) into 0 6.340 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.340 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.340 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.340 * [taylor]: Taking taylor expansion of 2 in n 6.340 * [backup-simplify]: Simplify 2 into 2 6.340 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.340 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.340 * [taylor]: Taking taylor expansion of n in n 6.340 * [backup-simplify]: Simplify 0 into 0 6.340 * [backup-simplify]: Simplify 1 into 1 6.341 * [backup-simplify]: Simplify (* 1 1) into 1 6.341 * [backup-simplify]: Simplify (/ 1 1) into 1 6.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.346 * [backup-simplify]: Simplify (- 0) into 0 6.346 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.348 * [backup-simplify]: Simplify (- 0) into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.349 * [backup-simplify]: Simplify (+ 0 0) into 0 6.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.350 * [backup-simplify]: Simplify (- 0) into 0 6.350 * [backup-simplify]: Simplify (+ 0 0) into 0 6.351 * [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)))) 6.351 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.351 * [taylor]: Taking taylor expansion of 2 in n 6.351 * [backup-simplify]: Simplify 2 into 2 6.351 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.351 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.351 * [taylor]: Taking taylor expansion of n in n 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 1 into 1 6.351 * [backup-simplify]: Simplify (* 1 1) into 1 6.352 * [backup-simplify]: Simplify (* 1 1) into 1 6.352 * [backup-simplify]: Simplify (/ 1 1) into 1 6.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.357 * [backup-simplify]: Simplify (- 0) into 0 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify -1 into -1 6.357 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 6.357 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 6.357 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.357 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.357 * [taylor]: Taking taylor expansion of -1 in n 6.357 * [backup-simplify]: Simplify -1 into -1 6.357 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.357 * [taylor]: Taking taylor expansion of (+ n f) in n 6.357 * [taylor]: Taking taylor expansion of n in n 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [taylor]: Taking taylor expansion of f in n 6.358 * [backup-simplify]: Simplify f into f 6.358 * [taylor]: Taking taylor expansion of (- f n) in n 6.358 * [taylor]: Taking taylor expansion of f in n 6.358 * [backup-simplify]: Simplify f into f 6.358 * [taylor]: Taking taylor expansion of n in n 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 1 into 1 6.358 * [backup-simplify]: Simplify (+ 0 f) into f 6.358 * [backup-simplify]: Simplify (- 0) into 0 6.358 * [backup-simplify]: Simplify (+ f 0) into f 6.358 * [backup-simplify]: Simplify (/ f f) into 1 6.358 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.358 * [taylor]: Taking taylor expansion of -1 in f 6.358 * [backup-simplify]: Simplify -1 into -1 6.358 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.358 * [taylor]: Taking taylor expansion of (+ n f) in f 6.358 * [taylor]: Taking taylor expansion of n in f 6.358 * [backup-simplify]: Simplify n into n 6.358 * [taylor]: Taking taylor expansion of f in f 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 1 into 1 6.358 * [taylor]: Taking taylor expansion of (- f n) in f 6.358 * [taylor]: Taking taylor expansion of f in f 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 1 into 1 6.358 * [taylor]: Taking taylor expansion of n in f 6.358 * [backup-simplify]: Simplify n into n 6.358 * [backup-simplify]: Simplify (+ n 0) into n 6.358 * [backup-simplify]: Simplify (- n) into (- n) 6.358 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.358 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.358 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.358 * [taylor]: Taking taylor expansion of -1 in f 6.358 * [backup-simplify]: Simplify -1 into -1 6.358 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.358 * [taylor]: Taking taylor expansion of (+ n f) in f 6.358 * [taylor]: Taking taylor expansion of n in f 6.358 * [backup-simplify]: Simplify n into n 6.358 * [taylor]: Taking taylor expansion of f in f 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 1 into 1 6.359 * [taylor]: Taking taylor expansion of (- f n) in f 6.359 * [taylor]: Taking taylor expansion of f in f 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 1 into 1 6.359 * [taylor]: Taking taylor expansion of n in f 6.359 * [backup-simplify]: Simplify n into n 6.359 * [backup-simplify]: Simplify (+ n 0) into n 6.359 * [backup-simplify]: Simplify (- n) into (- n) 6.359 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.359 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.359 * [backup-simplify]: Simplify (* -1 -1) into 1 6.359 * [taylor]: Taking taylor expansion of 1 in n 6.359 * [backup-simplify]: Simplify 1 into 1 6.359 * [backup-simplify]: Simplify 1 into 1 6.359 * [backup-simplify]: Simplify (+ 0 1) into 1 6.360 * [backup-simplify]: Simplify (- 0) into 0 6.360 * [backup-simplify]: Simplify (+ 1 0) into 1 6.360 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.360 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.360 * [taylor]: Taking taylor expansion of 2 in n 6.360 * [backup-simplify]: Simplify 2 into 2 6.360 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.360 * [taylor]: Taking taylor expansion of n in n 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 1 into 1 6.361 * [backup-simplify]: Simplify (/ 1 1) into 1 6.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.362 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify (+ 0 0) into 0 6.362 * [backup-simplify]: Simplify (- 0) into 0 6.362 * [backup-simplify]: Simplify (+ 0 0) into 0 6.362 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.363 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.363 * [taylor]: Taking taylor expansion of 2 in n 6.363 * [backup-simplify]: Simplify 2 into 2 6.363 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.363 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.363 * [taylor]: Taking taylor expansion of n in n 6.363 * [backup-simplify]: Simplify 0 into 0 6.363 * [backup-simplify]: Simplify 1 into 1 6.363 * [backup-simplify]: Simplify (* 1 1) into 1 6.364 * [backup-simplify]: Simplify (/ 1 1) into 1 6.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.366 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.367 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify (+ 0 0) into 0 6.368 * [backup-simplify]: Simplify (- 0) into 0 6.368 * [backup-simplify]: Simplify (+ 0 0) into 0 6.368 * [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)))) 6.369 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.369 * [taylor]: Taking taylor expansion of 2 in n 6.369 * [backup-simplify]: Simplify 2 into 2 6.369 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.369 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.369 * [taylor]: Taking taylor expansion of n in n 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 1 into 1 6.369 * [backup-simplify]: Simplify (* 1 1) into 1 6.369 * [backup-simplify]: Simplify (* 1 1) into 1 6.370 * [backup-simplify]: Simplify (/ 1 1) into 1 6.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.375 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.375 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.375 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.375 * [taylor]: Taking taylor expansion of -1 in n 6.375 * [backup-simplify]: Simplify -1 into -1 6.375 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.375 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.375 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.375 * [taylor]: Taking taylor expansion of f in n 6.375 * [backup-simplify]: Simplify f into f 6.376 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.376 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.376 * [taylor]: Taking taylor expansion of n in n 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify (/ 1 1) into 1 6.376 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.376 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.376 * [taylor]: Taking taylor expansion of f in n 6.376 * [backup-simplify]: Simplify f into f 6.376 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.376 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.376 * [taylor]: Taking taylor expansion of n in n 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.377 * [backup-simplify]: Simplify (/ 1 1) into 1 6.377 * [backup-simplify]: Simplify (+ 0 1) into 1 6.378 * [backup-simplify]: Simplify (- 1) into -1 6.378 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.378 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.378 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.378 * [taylor]: Taking taylor expansion of -1 in f 6.379 * [backup-simplify]: Simplify -1 into -1 6.379 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.379 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.379 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.379 * [taylor]: Taking taylor expansion of f in f 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 1 into 1 6.379 * [backup-simplify]: Simplify (/ 1 1) into 1 6.379 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.379 * [taylor]: Taking taylor expansion of n in f 6.379 * [backup-simplify]: Simplify n into n 6.379 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.379 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.379 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.379 * [taylor]: Taking taylor expansion of f in f 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 1 into 1 6.380 * [backup-simplify]: Simplify (/ 1 1) into 1 6.380 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.380 * [taylor]: Taking taylor expansion of n in f 6.380 * [backup-simplify]: Simplify n into n 6.380 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.380 * [backup-simplify]: Simplify (+ 1 0) into 1 6.381 * [backup-simplify]: Simplify (+ 1 0) into 1 6.381 * [backup-simplify]: Simplify (/ 1 1) into 1 6.381 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.381 * [taylor]: Taking taylor expansion of -1 in f 6.381 * [backup-simplify]: Simplify -1 into -1 6.381 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.381 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.381 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.381 * [taylor]: Taking taylor expansion of f in f 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 1 into 1 6.382 * [backup-simplify]: Simplify (/ 1 1) into 1 6.382 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.382 * [taylor]: Taking taylor expansion of n in f 6.382 * [backup-simplify]: Simplify n into n 6.382 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.382 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.382 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.382 * [taylor]: Taking taylor expansion of f in f 6.382 * [backup-simplify]: Simplify 0 into 0 6.382 * [backup-simplify]: Simplify 1 into 1 6.382 * [backup-simplify]: Simplify (/ 1 1) into 1 6.382 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.382 * [taylor]: Taking taylor expansion of n in f 6.382 * [backup-simplify]: Simplify n into n 6.383 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.383 * [backup-simplify]: Simplify (+ 1 0) into 1 6.383 * [backup-simplify]: Simplify (+ 1 0) into 1 6.384 * [backup-simplify]: Simplify (/ 1 1) into 1 6.384 * [backup-simplify]: Simplify (* -1 1) into -1 6.384 * [taylor]: Taking taylor expansion of -1 in n 6.384 * [backup-simplify]: Simplify -1 into -1 6.384 * [backup-simplify]: Simplify -1 into -1 6.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.385 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.386 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.386 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.387 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.387 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.387 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.387 * [taylor]: Taking taylor expansion of 2 in n 6.387 * [backup-simplify]: Simplify 2 into 2 6.387 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.387 * [taylor]: Taking taylor expansion of n in n 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.388 * [backup-simplify]: Simplify (/ 1 1) into 1 6.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.389 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.390 * [backup-simplify]: Simplify (- 0) into 0 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.391 * [backup-simplify]: Simplify (+ 0 0) into 0 6.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.393 * [backup-simplify]: Simplify (- 0) into 0 6.393 * [backup-simplify]: Simplify (+ 0 0) into 0 6.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.395 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.395 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.395 * [taylor]: Taking taylor expansion of 2 in n 6.395 * [backup-simplify]: Simplify 2 into 2 6.395 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.395 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.395 * [taylor]: Taking taylor expansion of n in n 6.395 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify 1 into 1 6.396 * [backup-simplify]: Simplify (* 1 1) into 1 6.396 * [backup-simplify]: Simplify (/ 1 1) into 1 6.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.401 * [backup-simplify]: Simplify (- 0) into 0 6.401 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.403 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.403 * [backup-simplify]: Simplify (- 0) into 0 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.405 * [backup-simplify]: Simplify (+ 0 0) into 0 6.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.406 * [backup-simplify]: Simplify (- 0) into 0 6.407 * [backup-simplify]: Simplify (+ 0 0) into 0 6.408 * [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))) 6.409 * [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)))) 6.409 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.409 * [taylor]: Taking taylor expansion of 2 in n 6.409 * [backup-simplify]: Simplify 2 into 2 6.409 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.410 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.410 * [taylor]: Taking taylor expansion of n in n 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 1 into 1 6.410 * [backup-simplify]: Simplify (* 1 1) into 1 6.410 * [backup-simplify]: Simplify (* 1 1) into 1 6.411 * [backup-simplify]: Simplify (/ 1 1) into 1 6.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.416 * [backup-simplify]: Simplify (- 0) into 0 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify -1 into -1 6.416 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.417 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.417 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.417 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.417 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.417 * [taylor]: Taking taylor expansion of f in n 6.417 * [backup-simplify]: Simplify f into f 6.417 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.417 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.417 * [taylor]: Taking taylor expansion of n in n 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify (/ 1 1) into 1 6.417 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.417 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.417 * [taylor]: Taking taylor expansion of n in n 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify (/ 1 1) into 1 6.417 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.417 * [taylor]: Taking taylor expansion of f in n 6.417 * [backup-simplify]: Simplify f into f 6.417 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.418 * [backup-simplify]: Simplify (+ 0 1) into 1 6.418 * [backup-simplify]: Simplify (+ 1 0) into 1 6.418 * [backup-simplify]: Simplify (/ 1 1) into 1 6.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.418 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.418 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.418 * [taylor]: Taking taylor expansion of f in f 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 1 into 1 6.418 * [backup-simplify]: Simplify (/ 1 1) into 1 6.418 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.418 * [taylor]: Taking taylor expansion of n in f 6.419 * [backup-simplify]: Simplify n into n 6.419 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.419 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.419 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.419 * [taylor]: Taking taylor expansion of n in f 6.419 * [backup-simplify]: Simplify n into n 6.419 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.419 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.419 * [taylor]: Taking taylor expansion of f in f 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 1 into 1 6.423 * [backup-simplify]: Simplify (/ 1 1) into 1 6.423 * [backup-simplify]: Simplify (+ 1 0) into 1 6.423 * [backup-simplify]: Simplify (- 1) into -1 6.424 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.424 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.424 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.424 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.424 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.424 * [taylor]: Taking taylor expansion of f in f 6.424 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify 1 into 1 6.424 * [backup-simplify]: Simplify (/ 1 1) into 1 6.424 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.424 * [taylor]: Taking taylor expansion of n in f 6.424 * [backup-simplify]: Simplify n into n 6.425 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.425 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.425 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.425 * [taylor]: Taking taylor expansion of n in f 6.425 * [backup-simplify]: Simplify n into n 6.425 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.425 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.425 * [taylor]: Taking taylor expansion of f in f 6.425 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify 1 into 1 6.425 * [backup-simplify]: Simplify (/ 1 1) into 1 6.425 * [backup-simplify]: Simplify (+ 1 0) into 1 6.425 * [backup-simplify]: Simplify (- 1) into -1 6.426 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.426 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.426 * [taylor]: Taking taylor expansion of -1 in n 6.426 * [backup-simplify]: Simplify -1 into -1 6.426 * [backup-simplify]: Simplify -1 into -1 6.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.427 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.427 * [backup-simplify]: Simplify (- 0) into 0 6.427 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.427 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.427 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.427 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.427 * [taylor]: Taking taylor expansion of 2 in n 6.427 * [backup-simplify]: Simplify 2 into 2 6.427 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.428 * [taylor]: Taking taylor expansion of n in n 6.428 * [backup-simplify]: Simplify 0 into 0 6.428 * [backup-simplify]: Simplify 1 into 1 6.428 * [backup-simplify]: Simplify (/ 1 1) into 1 6.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.429 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.429 * [backup-simplify]: Simplify (- 0) into 0 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.430 * [backup-simplify]: Simplify (+ 0 0) into 0 6.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.431 * [backup-simplify]: Simplify (- 0) into 0 6.431 * [backup-simplify]: Simplify (+ 0 0) into 0 6.431 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.432 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.432 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.432 * [taylor]: Taking taylor expansion of 2 in n 6.432 * [backup-simplify]: Simplify 2 into 2 6.432 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.432 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.432 * [taylor]: Taking taylor expansion of n in n 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify 1 into 1 6.432 * [backup-simplify]: Simplify (* 1 1) into 1 6.432 * [backup-simplify]: Simplify (/ 1 1) into 1 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.435 * [backup-simplify]: Simplify (- 0) into 0 6.435 * [backup-simplify]: Simplify 0 into 0 6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.437 * [backup-simplify]: Simplify (- 0) into 0 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.437 * [backup-simplify]: Simplify (+ 0 0) into 0 6.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.438 * [backup-simplify]: Simplify (- 0) into 0 6.439 * [backup-simplify]: Simplify (+ 0 0) into 0 6.440 * [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)))) 6.440 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.440 * [taylor]: Taking taylor expansion of 2 in n 6.440 * [backup-simplify]: Simplify 2 into 2 6.440 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.440 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.440 * [taylor]: Taking taylor expansion of n in n 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 1 into 1 6.440 * [backup-simplify]: Simplify (* 1 1) into 1 6.440 * [backup-simplify]: Simplify (* 1 1) into 1 6.441 * [backup-simplify]: Simplify (/ 1 1) into 1 6.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.448 * [backup-simplify]: Simplify (- 0) into 0 6.448 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify -1 into -1 6.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 6.449 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 6.449 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.449 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.449 * [taylor]: Taking taylor expansion of -1 in n 6.449 * [backup-simplify]: Simplify -1 into -1 6.449 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.449 * [taylor]: Taking taylor expansion of (+ n f) in n 6.449 * [taylor]: Taking taylor expansion of n in n 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.449 * [taylor]: Taking taylor expansion of f in n 6.449 * [backup-simplify]: Simplify f into f 6.449 * [taylor]: Taking taylor expansion of (- f n) in n 6.449 * [taylor]: Taking taylor expansion of f in n 6.449 * [backup-simplify]: Simplify f into f 6.449 * [taylor]: Taking taylor expansion of n in n 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.449 * [backup-simplify]: Simplify (+ 0 f) into f 6.449 * [backup-simplify]: Simplify (- 0) into 0 6.450 * [backup-simplify]: Simplify (+ f 0) into f 6.450 * [backup-simplify]: Simplify (/ f f) into 1 6.450 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.450 * [taylor]: Taking taylor expansion of -1 in f 6.450 * [backup-simplify]: Simplify -1 into -1 6.450 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.450 * [taylor]: Taking taylor expansion of (+ n f) in f 6.450 * [taylor]: Taking taylor expansion of n in f 6.450 * [backup-simplify]: Simplify n into n 6.450 * [taylor]: Taking taylor expansion of f in f 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 1 into 1 6.450 * [taylor]: Taking taylor expansion of (- f n) in f 6.450 * [taylor]: Taking taylor expansion of f in f 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 1 into 1 6.450 * [taylor]: Taking taylor expansion of n in f 6.450 * [backup-simplify]: Simplify n into n 6.450 * [backup-simplify]: Simplify (+ n 0) into n 6.450 * [backup-simplify]: Simplify (- n) into (- n) 6.450 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.450 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.450 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.450 * [taylor]: Taking taylor expansion of -1 in f 6.450 * [backup-simplify]: Simplify -1 into -1 6.450 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.450 * [taylor]: Taking taylor expansion of (+ n f) in f 6.450 * [taylor]: Taking taylor expansion of n in f 6.450 * [backup-simplify]: Simplify n into n 6.450 * [taylor]: Taking taylor expansion of f in f 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 1 into 1 6.451 * [taylor]: Taking taylor expansion of (- f n) in f 6.451 * [taylor]: Taking taylor expansion of f in f 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [taylor]: Taking taylor expansion of n in f 6.451 * [backup-simplify]: Simplify n into n 6.451 * [backup-simplify]: Simplify (+ n 0) into n 6.451 * [backup-simplify]: Simplify (- n) into (- n) 6.451 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.451 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.451 * [backup-simplify]: Simplify (* -1 -1) into 1 6.451 * [taylor]: Taking taylor expansion of 1 in n 6.452 * [backup-simplify]: Simplify 1 into 1 6.452 * [backup-simplify]: Simplify 1 into 1 6.452 * [backup-simplify]: Simplify (+ 0 1) into 1 6.452 * [backup-simplify]: Simplify (- 0) into 0 6.453 * [backup-simplify]: Simplify (+ 1 0) into 1 6.453 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.454 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.454 * [taylor]: Taking taylor expansion of 2 in n 6.454 * [backup-simplify]: Simplify 2 into 2 6.454 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.454 * [taylor]: Taking taylor expansion of n in n 6.454 * [backup-simplify]: Simplify 0 into 0 6.454 * [backup-simplify]: Simplify 1 into 1 6.454 * [backup-simplify]: Simplify (/ 1 1) into 1 6.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.456 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.456 * [backup-simplify]: Simplify 0 into 0 6.456 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify (+ 0 0) into 0 6.457 * [backup-simplify]: Simplify (- 0) into 0 6.457 * [backup-simplify]: Simplify (+ 0 0) into 0 6.458 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.459 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.459 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.459 * [taylor]: Taking taylor expansion of 2 in n 6.459 * [backup-simplify]: Simplify 2 into 2 6.459 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.459 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.459 * [taylor]: Taking taylor expansion of n in n 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 1 into 1 6.459 * [backup-simplify]: Simplify (* 1 1) into 1 6.460 * [backup-simplify]: Simplify (/ 1 1) into 1 6.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.464 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (+ 0 0) into 0 6.466 * [backup-simplify]: Simplify (- 0) into 0 6.467 * [backup-simplify]: Simplify (+ 0 0) into 0 6.468 * [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)))) 6.469 * [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))) 6.469 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.469 * [taylor]: Taking taylor expansion of 2 in n 6.469 * [backup-simplify]: Simplify 2 into 2 6.469 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.469 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.469 * [taylor]: Taking taylor expansion of n in n 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [backup-simplify]: Simplify (* 1 1) into 1 6.470 * [backup-simplify]: Simplify (* 1 1) into 1 6.470 * [backup-simplify]: Simplify (/ 1 1) into 1 6.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 1 into 1 6.479 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.479 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.479 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.479 * [taylor]: Taking taylor expansion of -1 in n 6.479 * [backup-simplify]: Simplify -1 into -1 6.479 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.479 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.479 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.479 * [taylor]: Taking taylor expansion of f in n 6.480 * [backup-simplify]: Simplify f into f 6.480 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.480 * [taylor]: Taking taylor expansion of n in n 6.480 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify 1 into 1 6.480 * [backup-simplify]: Simplify (/ 1 1) into 1 6.480 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.480 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.480 * [taylor]: Taking taylor expansion of f in n 6.480 * [backup-simplify]: Simplify f into f 6.480 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.480 * [taylor]: Taking taylor expansion of n in n 6.480 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify 1 into 1 6.480 * [backup-simplify]: Simplify (/ 1 1) into 1 6.481 * [backup-simplify]: Simplify (+ 0 1) into 1 6.481 * [backup-simplify]: Simplify (- 1) into -1 6.481 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.481 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.481 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.481 * [taylor]: Taking taylor expansion of -1 in f 6.481 * [backup-simplify]: Simplify -1 into -1 6.482 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.482 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.482 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.482 * [taylor]: Taking taylor expansion of f in f 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 1 into 1 6.482 * [backup-simplify]: Simplify (/ 1 1) into 1 6.482 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.482 * [taylor]: Taking taylor expansion of n in f 6.482 * [backup-simplify]: Simplify n into n 6.482 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.482 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.482 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.482 * [taylor]: Taking taylor expansion of f in f 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 1 into 1 6.482 * [backup-simplify]: Simplify (/ 1 1) into 1 6.482 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.482 * [taylor]: Taking taylor expansion of n in f 6.482 * [backup-simplify]: Simplify n into n 6.482 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.483 * [backup-simplify]: Simplify (+ 1 0) into 1 6.483 * [backup-simplify]: Simplify (+ 1 0) into 1 6.483 * [backup-simplify]: Simplify (/ 1 1) into 1 6.483 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.483 * [taylor]: Taking taylor expansion of -1 in f 6.483 * [backup-simplify]: Simplify -1 into -1 6.483 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.483 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.483 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.483 * [taylor]: Taking taylor expansion of f in f 6.483 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify 1 into 1 6.484 * [backup-simplify]: Simplify (/ 1 1) into 1 6.484 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.484 * [taylor]: Taking taylor expansion of n in f 6.484 * [backup-simplify]: Simplify n into n 6.484 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.484 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.484 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.484 * [taylor]: Taking taylor expansion of f in f 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 1 into 1 6.484 * [backup-simplify]: Simplify (/ 1 1) into 1 6.484 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.484 * [taylor]: Taking taylor expansion of n in f 6.484 * [backup-simplify]: Simplify n into n 6.484 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.484 * [backup-simplify]: Simplify (+ 1 0) into 1 6.485 * [backup-simplify]: Simplify (+ 1 0) into 1 6.485 * [backup-simplify]: Simplify (/ 1 1) into 1 6.485 * [backup-simplify]: Simplify (* -1 1) into -1 6.485 * [taylor]: Taking taylor expansion of -1 in n 6.485 * [backup-simplify]: Simplify -1 into -1 6.485 * [backup-simplify]: Simplify -1 into -1 6.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.486 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.486 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.486 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.487 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.487 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.487 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.487 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.487 * [taylor]: Taking taylor expansion of 2 in n 6.487 * [backup-simplify]: Simplify 2 into 2 6.487 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.487 * [taylor]: Taking taylor expansion of n in n 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (/ 1 1) into 1 6.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.488 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.488 * [backup-simplify]: Simplify (- 0) into 0 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.489 * [backup-simplify]: Simplify (+ 0 0) into 0 6.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.490 * [backup-simplify]: Simplify (- 0) into 0 6.490 * [backup-simplify]: Simplify (+ 0 0) into 0 6.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.492 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.492 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.492 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.492 * [taylor]: Taking taylor expansion of 2 in n 6.492 * [backup-simplify]: Simplify 2 into 2 6.492 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.492 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.492 * [taylor]: Taking taylor expansion of n in n 6.492 * [backup-simplify]: Simplify 0 into 0 6.492 * [backup-simplify]: Simplify 1 into 1 6.492 * [backup-simplify]: Simplify (* 1 1) into 1 6.492 * [backup-simplify]: Simplify (/ 1 1) into 1 6.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.495 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.495 * [backup-simplify]: Simplify (- 0) into 0 6.495 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.496 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.496 * [backup-simplify]: Simplify (- 0) into 0 6.496 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.497 * [backup-simplify]: Simplify (+ 0 0) into 0 6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.498 * [backup-simplify]: Simplify (- 0) into 0 6.498 * [backup-simplify]: Simplify (+ 0 0) into 0 6.499 * [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))) 6.500 * [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)))) 6.500 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.500 * [taylor]: Taking taylor expansion of 2 in n 6.500 * [backup-simplify]: Simplify 2 into 2 6.500 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.500 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.500 * [taylor]: Taking taylor expansion of n in n 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.501 * [backup-simplify]: Simplify (* 1 1) into 1 6.501 * [backup-simplify]: Simplify (* 1 1) into 1 6.501 * [backup-simplify]: Simplify (/ 1 1) into 1 6.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.507 * [backup-simplify]: Simplify (- 0) into 0 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify -1 into -1 6.507 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.508 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.508 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.508 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.508 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.508 * [taylor]: Taking taylor expansion of f in n 6.508 * [backup-simplify]: Simplify f into f 6.508 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.508 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.508 * [taylor]: Taking taylor expansion of n in n 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify 1 into 1 6.508 * [backup-simplify]: Simplify (/ 1 1) into 1 6.508 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.508 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.508 * [taylor]: Taking taylor expansion of n in n 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify 1 into 1 6.508 * [backup-simplify]: Simplify (/ 1 1) into 1 6.508 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.508 * [taylor]: Taking taylor expansion of f in n 6.508 * [backup-simplify]: Simplify f into f 6.508 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.509 * [backup-simplify]: Simplify (+ 0 1) into 1 6.509 * [backup-simplify]: Simplify (+ 1 0) into 1 6.509 * [backup-simplify]: Simplify (/ 1 1) into 1 6.509 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.509 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.509 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.509 * [taylor]: Taking taylor expansion of f in f 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.509 * [backup-simplify]: Simplify (/ 1 1) into 1 6.509 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.510 * [taylor]: Taking taylor expansion of n in f 6.510 * [backup-simplify]: Simplify n into n 6.510 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.510 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.510 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.510 * [taylor]: Taking taylor expansion of n in f 6.510 * [backup-simplify]: Simplify n into n 6.510 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.510 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.510 * [taylor]: Taking taylor expansion of f in f 6.510 * [backup-simplify]: Simplify 0 into 0 6.510 * [backup-simplify]: Simplify 1 into 1 6.510 * [backup-simplify]: Simplify (/ 1 1) into 1 6.510 * [backup-simplify]: Simplify (+ 1 0) into 1 6.510 * [backup-simplify]: Simplify (- 1) into -1 6.511 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.511 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.511 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.511 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.511 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.511 * [taylor]: Taking taylor expansion of f in f 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 1 into 1 6.511 * [backup-simplify]: Simplify (/ 1 1) into 1 6.511 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.512 * [taylor]: Taking taylor expansion of n in f 6.512 * [backup-simplify]: Simplify n into n 6.512 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.512 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.512 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.512 * [taylor]: Taking taylor expansion of n in f 6.512 * [backup-simplify]: Simplify n into n 6.512 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.512 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.512 * [taylor]: Taking taylor expansion of f in f 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify (/ 1 1) into 1 6.512 * [backup-simplify]: Simplify (+ 1 0) into 1 6.512 * [backup-simplify]: Simplify (- 1) into -1 6.513 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.513 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.513 * [taylor]: Taking taylor expansion of -1 in n 6.513 * [backup-simplify]: Simplify -1 into -1 6.513 * [backup-simplify]: Simplify -1 into -1 6.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (- 0) into 0 6.514 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.514 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.514 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.514 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.515 * [taylor]: Taking taylor expansion of 2 in n 6.515 * [backup-simplify]: Simplify 2 into 2 6.515 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.515 * [taylor]: Taking taylor expansion of n in n 6.515 * [backup-simplify]: Simplify 0 into 0 6.515 * [backup-simplify]: Simplify 1 into 1 6.515 * [backup-simplify]: Simplify (/ 1 1) into 1 6.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.516 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.516 * [backup-simplify]: Simplify (- 0) into 0 6.516 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.517 * [backup-simplify]: Simplify (+ 0 0) into 0 6.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.518 * [backup-simplify]: Simplify (- 0) into 0 6.518 * [backup-simplify]: Simplify (+ 0 0) into 0 6.519 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.519 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.519 * [taylor]: Taking taylor expansion of 2 in n 6.519 * [backup-simplify]: Simplify 2 into 2 6.519 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.519 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.519 * [taylor]: Taking taylor expansion of n in n 6.519 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify 1 into 1 6.519 * [backup-simplify]: Simplify (* 1 1) into 1 6.520 * [backup-simplify]: Simplify (/ 1 1) into 1 6.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.524 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.524 * [backup-simplify]: Simplify (- 0) into 0 6.524 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.526 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.526 * [backup-simplify]: Simplify (- 0) into 0 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.528 * [backup-simplify]: Simplify (+ 0 0) into 0 6.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.529 * [backup-simplify]: Simplify (- 0) into 0 6.529 * [backup-simplify]: Simplify (+ 0 0) into 0 6.536 * [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)))) 6.536 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.536 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.536 * [taylor]: Taking taylor expansion of 2 in n 6.536 * [backup-simplify]: Simplify 2 into 2 6.536 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.536 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.536 * [taylor]: Taking taylor expansion of n in n 6.536 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify 1 into 1 6.536 * [backup-simplify]: Simplify (* 1 1) into 1 6.537 * [backup-simplify]: Simplify (* 1 1) into 1 6.537 * [backup-simplify]: Simplify (/ 1 1) into 1 6.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.542 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.542 * [backup-simplify]: Simplify (- 0) into 0 6.542 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify -1 into -1 6.542 * * * [progress]: simplifying candidates 6.554 * [simplify]: Simplifying: (expm1 (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (log1p (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (+ 1/3 1/3) (+ 1 1) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (+ 1 1) (+ (log (cbrt (/ (- (+ f n)) (- f n)))) (log (cbrt (/ (- (+ f n)) (- f n))))) (log (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (* (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))))) (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (* (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt 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(- (+ 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)) (pow (cbrt -1) 2) (pow (cbrt -1) 2) 1 1 -1 -1 1 -1 -1 1 -1 -1 6.564 * * [simplify]: iteration 0: 391 enodes 6.708 * * [simplify]: iteration 1: 697 enodes 6.885 * * [simplify]: iteration 2: 2742 enodes 8.117 * * [simplify]: iteration complete: 5001 enodes 8.118 * * [simplify]: Extracting #0: cost 237 inf + 0 8.121 * * [simplify]: Extracting #1: cost 935 inf + 5 8.125 * * [simplify]: Extracting #2: cost 1376 inf + 426 8.137 * * [simplify]: Extracting #3: cost 1393 inf + 20646 8.168 * * [simplify]: Extracting #4: cost 887 inf + 152554 8.250 * * [simplify]: Extracting #5: cost 158 inf + 394098 8.351 * * [simplify]: Extracting #6: cost 15 inf + 457445 8.466 * * [simplify]: Extracting #7: cost 0 inf + 463624 8.590 * [simplify]: Simplified to: (expm1 (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (log1p (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) 2/3 2 (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) 2 (+ (log (cbrt (/ (- (+ f n)) (- f n)))) (log (cbrt (/ (- (+ f n)) (- f n))))) (+ (log (cbrt (/ (- (+ f n)) (- f n)))) (log (cbrt (/ (- (+ f n)) (- f n))))) (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (* (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))))) (cbrt (* (cbrt (/ (- (+ f n)) (- f n))) 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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)) (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)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (/ (+ f n) (cbrt (- f n)))) (cbrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (- (/ (+ f n) (+ (sqrt n) (sqrt f)))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (- (/ (+ f n) (- (* (* f f) f) (* (* n n) n)))) (- (/ 1 (- f n))) (* (- f n) (fma (- n f) n (* f f))) (* (- f n) (- f n)) (* (cbrt -1) (cbrt -1)) (* (cbrt -1) (cbrt -1)) 1 1 -1 -1 1 -1 -1 1 -1 -1 8.696 * * * [progress]: adding candidates to table 11.541 * * [progress]: iteration 4 / 4 11.542 * * * [progress]: picking best candidate 11.549 * * * * [pick]: Picked # 11.550 * * * [progress]: localizing error 11.579 * * * [progress]: generating rewritten candidates 11.579 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 11.821 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 11.867 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 11.919 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 12.013 * * * [progress]: generating series expansions 12.013 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 12.013 * [backup-simplify]: Simplify (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2)) 12.013 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (f n) around 0 12.013 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 12.013 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 12.013 * [taylor]: Taking taylor expansion of (+ n f) in n 12.013 * [taylor]: Taking taylor expansion of n in n 12.013 * [backup-simplify]: Simplify 0 into 0 12.013 * [backup-simplify]: Simplify 1 into 1 12.013 * [taylor]: Taking taylor expansion of f in n 12.013 * [backup-simplify]: Simplify f into f 12.013 * [backup-simplify]: Simplify (+ 0 f) into f 12.013 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 12.013 * [taylor]: Taking taylor expansion of (- f n) in n 12.013 * [taylor]: Taking taylor expansion of f in n 12.013 * [backup-simplify]: Simplify f into f 12.013 * [taylor]: Taking taylor expansion of n in n 12.013 * [backup-simplify]: Simplify 0 into 0 12.013 * [backup-simplify]: Simplify 1 into 1 12.014 * [backup-simplify]: Simplify (- 0) into 0 12.014 * [backup-simplify]: Simplify (+ f 0) into f 12.014 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.014 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.014 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 12.014 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 12.014 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 12.014 * [taylor]: Taking taylor expansion of (+ n f) in f 12.014 * [taylor]: Taking taylor expansion of n in f 12.014 * [backup-simplify]: Simplify n into n 12.014 * [taylor]: Taking taylor expansion of f in f 12.014 * [backup-simplify]: Simplify 0 into 0 12.014 * [backup-simplify]: Simplify 1 into 1 12.014 * [backup-simplify]: Simplify (+ n 0) into n 12.014 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 12.014 * [taylor]: Taking taylor expansion of (- f n) in f 12.014 * [taylor]: Taking taylor expansion of f in f 12.014 * [backup-simplify]: Simplify 0 into 0 12.014 * [backup-simplify]: Simplify 1 into 1 12.014 * [taylor]: Taking taylor expansion of n in f 12.014 * [backup-simplify]: Simplify n into n 12.014 * [backup-simplify]: Simplify (- n) into (- n) 12.014 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.014 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.015 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 12.015 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 12.015 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 12.015 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 12.015 * [taylor]: Taking taylor expansion of (+ n f) in f 12.015 * [taylor]: Taking taylor expansion of n in f 12.015 * [backup-simplify]: Simplify n into n 12.015 * [taylor]: Taking taylor expansion of f in f 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [backup-simplify]: Simplify (+ n 0) into n 12.015 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 12.015 * [taylor]: Taking taylor expansion of (- f n) in f 12.015 * [taylor]: Taking taylor expansion of f in f 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [taylor]: Taking taylor expansion of n in f 12.015 * [backup-simplify]: Simplify n into n 12.015 * [backup-simplify]: Simplify (- n) into (- n) 12.015 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.015 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.015 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 12.015 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 12.015 * [taylor]: Taking taylor expansion of 1 in n 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [backup-simplify]: Simplify 1 into 1 12.016 * [backup-simplify]: Simplify (+ 0 1) into 1 12.016 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 12.016 * [backup-simplify]: Simplify (- 0) into 0 12.016 * [backup-simplify]: Simplify (+ 1 0) into 1 12.016 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 12.017 * [backup-simplify]: Simplify (- (/ (* 2 n) (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 4 (/ 1 n)) 12.017 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 12.017 * [taylor]: Taking taylor expansion of 4 in n 12.017 * [backup-simplify]: Simplify 4 into 4 12.017 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.017 * [taylor]: Taking taylor expansion of n in n 12.017 * [backup-simplify]: Simplify 0 into 0 12.017 * [backup-simplify]: Simplify 1 into 1 12.017 * [backup-simplify]: Simplify (/ 1 1) into 1 12.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.018 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.018 * [backup-simplify]: Simplify 0 into 0 12.018 * [backup-simplify]: Simplify 0 into 0 12.018 * [backup-simplify]: Simplify (+ 0 0) into 0 12.018 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 12.019 * [backup-simplify]: Simplify (- 0) into 0 12.019 * [backup-simplify]: Simplify (+ 0 0) into 0 12.019 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 12.020 * [backup-simplify]: Simplify (- (/ 1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 4 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 8 (/ 1 (pow n 2))) 12.020 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 12.020 * [taylor]: Taking taylor expansion of 8 in n 12.020 * [backup-simplify]: Simplify 8 into 8 12.020 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.020 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.020 * [taylor]: Taking taylor expansion of n in n 12.020 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify 1 into 1 12.020 * [backup-simplify]: Simplify (* 1 1) into 1 12.020 * [backup-simplify]: Simplify (/ 1 1) into 1 12.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.023 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 12.023 * [backup-simplify]: Simplify 0 into 0 12.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.024 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 12.024 * [backup-simplify]: Simplify 0 into 0 12.024 * [backup-simplify]: Simplify 0 into 0 12.024 * [backup-simplify]: Simplify (+ 0 0) into 0 12.025 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 12.025 * [backup-simplify]: Simplify (- 0) into 0 12.025 * [backup-simplify]: Simplify (+ 0 0) into 0 12.026 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 12.026 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 4 (/ 1 n)) (/ 1 (pow n 2))) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 12 (/ 1 (pow n 3))) 12.026 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 12.026 * [taylor]: Taking taylor expansion of 12 in n 12.026 * [backup-simplify]: Simplify 12 into 12 12.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.026 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.026 * [taylor]: Taking taylor expansion of n in n 12.026 * [backup-simplify]: Simplify 0 into 0 12.026 * [backup-simplify]: Simplify 1 into 1 12.027 * [backup-simplify]: Simplify (* 1 1) into 1 12.027 * [backup-simplify]: Simplify (* 1 1) into 1 12.027 * [backup-simplify]: Simplify (/ 1 1) into 1 12.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.033 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.033 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify 1 into 1 12.034 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 12.034 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 12.034 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 12.034 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 12.034 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.034 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.034 * [taylor]: Taking taylor expansion of f in n 12.034 * [backup-simplify]: Simplify f into f 12.034 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.034 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.034 * [taylor]: Taking taylor expansion of n in n 12.034 * [backup-simplify]: Simplify 0 into 0 12.034 * [backup-simplify]: Simplify 1 into 1 12.034 * [backup-simplify]: Simplify (/ 1 1) into 1 12.035 * [backup-simplify]: Simplify (+ 0 1) into 1 12.035 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 12.035 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.035 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.035 * [taylor]: Taking taylor expansion of f in n 12.035 * [backup-simplify]: Simplify f into f 12.035 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.035 * [taylor]: Taking taylor expansion of n in n 12.035 * [backup-simplify]: Simplify 0 into 0 12.035 * [backup-simplify]: Simplify 1 into 1 12.036 * [backup-simplify]: Simplify (/ 1 1) into 1 12.036 * [backup-simplify]: Simplify (- 1) into -1 12.036 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.037 * [backup-simplify]: Simplify (* 1 1) into 1 12.037 * [backup-simplify]: Simplify (* -1 -1) into 1 12.037 * [backup-simplify]: Simplify (/ 1 1) into 1 12.037 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 12.038 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.038 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.038 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.038 * [taylor]: Taking taylor expansion of f in f 12.038 * [backup-simplify]: Simplify 0 into 0 12.038 * [backup-simplify]: Simplify 1 into 1 12.038 * [backup-simplify]: Simplify (/ 1 1) into 1 12.038 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.038 * [taylor]: Taking taylor expansion of n in f 12.038 * [backup-simplify]: Simplify n into n 12.038 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.039 * [backup-simplify]: Simplify (+ 1 0) into 1 12.039 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 12.039 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.039 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.039 * [taylor]: Taking taylor expansion of f in f 12.039 * [backup-simplify]: Simplify 0 into 0 12.039 * [backup-simplify]: Simplify 1 into 1 12.039 * [backup-simplify]: Simplify (/ 1 1) into 1 12.039 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.039 * [taylor]: Taking taylor expansion of n in f 12.039 * [backup-simplify]: Simplify n into n 12.039 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.040 * [backup-simplify]: Simplify (+ 1 0) into 1 12.040 * [backup-simplify]: Simplify (* 1 1) into 1 12.041 * [backup-simplify]: Simplify (* 1 1) into 1 12.041 * [backup-simplify]: Simplify (/ 1 1) into 1 12.041 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 12.041 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.041 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.041 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.041 * [taylor]: Taking taylor expansion of f in f 12.041 * [backup-simplify]: Simplify 0 into 0 12.041 * [backup-simplify]: Simplify 1 into 1 12.041 * [backup-simplify]: Simplify (/ 1 1) into 1 12.042 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.042 * [taylor]: Taking taylor expansion of n in f 12.042 * [backup-simplify]: Simplify n into n 12.042 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.042 * [backup-simplify]: Simplify (+ 1 0) into 1 12.042 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 12.042 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.042 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.042 * [taylor]: Taking taylor expansion of f in f 12.042 * [backup-simplify]: Simplify 0 into 0 12.042 * [backup-simplify]: Simplify 1 into 1 12.043 * [backup-simplify]: Simplify (/ 1 1) into 1 12.043 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.043 * [taylor]: Taking taylor expansion of n in f 12.043 * [backup-simplify]: Simplify n into n 12.043 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.043 * [backup-simplify]: Simplify (+ 1 0) into 1 12.044 * [backup-simplify]: Simplify (* 1 1) into 1 12.044 * [backup-simplify]: Simplify (* 1 1) into 1 12.044 * [backup-simplify]: Simplify (/ 1 1) into 1 12.044 * [taylor]: Taking taylor expansion of 1 in n 12.044 * [backup-simplify]: Simplify 1 into 1 12.044 * [backup-simplify]: Simplify 1 into 1 12.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.045 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.046 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 12.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.046 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.047 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.047 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 12.047 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 12.047 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 12.047 * [taylor]: Taking taylor expansion of 4 in n 12.047 * [backup-simplify]: Simplify 4 into 4 12.047 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.047 * [taylor]: Taking taylor expansion of n in n 12.047 * [backup-simplify]: Simplify 0 into 0 12.047 * [backup-simplify]: Simplify 1 into 1 12.048 * [backup-simplify]: Simplify (/ 1 1) into 1 12.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.049 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 0 into 0 12.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.051 * [backup-simplify]: Simplify (+ 0 0) into 0 12.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 12.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.053 * [backup-simplify]: Simplify (- 0) into 0 12.054 * [backup-simplify]: Simplify (+ 0 0) into 0 12.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 12.055 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 12.055 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 12.055 * [taylor]: Taking taylor expansion of 8 in n 12.055 * [backup-simplify]: Simplify 8 into 8 12.055 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.055 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.056 * [taylor]: Taking taylor expansion of n in n 12.056 * [backup-simplify]: Simplify 0 into 0 12.056 * [backup-simplify]: Simplify 1 into 1 12.056 * [backup-simplify]: Simplify (* 1 1) into 1 12.057 * [backup-simplify]: Simplify (/ 1 1) into 1 12.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.061 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 12.061 * [backup-simplify]: Simplify 0 into 0 12.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.063 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 12.063 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 0 into 0 12.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.064 * [backup-simplify]: Simplify (+ 0 0) into 0 12.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 12.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.067 * [backup-simplify]: Simplify (- 0) into 0 12.067 * [backup-simplify]: Simplify (+ 0 0) into 0 12.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 12.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 12.070 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 12.070 * [taylor]: Taking taylor expansion of 12 in n 12.070 * [backup-simplify]: Simplify 12 into 12 12.070 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.071 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.071 * [taylor]: Taking taylor expansion of n in n 12.071 * [backup-simplify]: Simplify 0 into 0 12.071 * [backup-simplify]: Simplify 1 into 1 12.071 * [backup-simplify]: Simplify (* 1 1) into 1 12.071 * [backup-simplify]: Simplify (* 1 1) into 1 12.072 * [backup-simplify]: Simplify (/ 1 1) into 1 12.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.077 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify 1 into 1 12.077 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 12.077 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 12.077 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 12.077 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 12.077 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.077 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.077 * [taylor]: Taking taylor expansion of f in n 12.077 * [backup-simplify]: Simplify f into f 12.077 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.077 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.077 * [taylor]: Taking taylor expansion of n in n 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify 1 into 1 12.078 * [backup-simplify]: Simplify (/ 1 1) into 1 12.078 * [backup-simplify]: Simplify (+ 0 1) into 1 12.078 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 12.078 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.078 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.078 * [taylor]: Taking taylor expansion of n in n 12.078 * [backup-simplify]: Simplify 0 into 0 12.078 * [backup-simplify]: Simplify 1 into 1 12.078 * [backup-simplify]: Simplify (/ 1 1) into 1 12.078 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.078 * [taylor]: Taking taylor expansion of f in n 12.078 * [backup-simplify]: Simplify f into f 12.078 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.079 * [backup-simplify]: Simplify (+ 1 0) into 1 12.079 * [backup-simplify]: Simplify (* 1 1) into 1 12.079 * [backup-simplify]: Simplify (* 1 1) into 1 12.079 * [backup-simplify]: Simplify (/ 1 1) into 1 12.079 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 12.079 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.079 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.079 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.079 * [taylor]: Taking taylor expansion of f in f 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify 1 into 1 12.080 * [backup-simplify]: Simplify (/ 1 1) into 1 12.080 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.080 * [taylor]: Taking taylor expansion of n in f 12.080 * [backup-simplify]: Simplify n into n 12.080 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.080 * [backup-simplify]: Simplify (+ 1 0) into 1 12.080 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 12.080 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.080 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.080 * [taylor]: Taking taylor expansion of n in f 12.080 * [backup-simplify]: Simplify n into n 12.080 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.080 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.080 * [taylor]: Taking taylor expansion of f in f 12.080 * [backup-simplify]: Simplify 0 into 0 12.080 * [backup-simplify]: Simplify 1 into 1 12.080 * [backup-simplify]: Simplify (/ 1 1) into 1 12.081 * [backup-simplify]: Simplify (- 1) into -1 12.081 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.081 * [backup-simplify]: Simplify (* 1 1) into 1 12.081 * [backup-simplify]: Simplify (* -1 -1) into 1 12.082 * [backup-simplify]: Simplify (/ 1 1) into 1 12.082 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 12.082 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.082 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.082 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.082 * [taylor]: Taking taylor expansion of f in f 12.082 * [backup-simplify]: Simplify 0 into 0 12.082 * [backup-simplify]: Simplify 1 into 1 12.082 * [backup-simplify]: Simplify (/ 1 1) into 1 12.082 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.082 * [taylor]: Taking taylor expansion of n in f 12.082 * [backup-simplify]: Simplify n into n 12.082 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.082 * [backup-simplify]: Simplify (+ 1 0) into 1 12.082 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 12.082 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.082 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.082 * [taylor]: Taking taylor expansion of n in f 12.082 * [backup-simplify]: Simplify n into n 12.082 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.082 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.082 * [taylor]: Taking taylor expansion of f in f 12.082 * [backup-simplify]: Simplify 0 into 0 12.083 * [backup-simplify]: Simplify 1 into 1 12.083 * [backup-simplify]: Simplify (/ 1 1) into 1 12.083 * [backup-simplify]: Simplify (- 1) into -1 12.083 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.083 * [backup-simplify]: Simplify (* 1 1) into 1 12.084 * [backup-simplify]: Simplify (* -1 -1) into 1 12.084 * [backup-simplify]: Simplify (/ 1 1) into 1 12.084 * [taylor]: Taking taylor expansion of 1 in n 12.084 * [backup-simplify]: Simplify 1 into 1 12.084 * [backup-simplify]: Simplify 1 into 1 12.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.085 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.085 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 12.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.085 * [backup-simplify]: Simplify (- 0) into 0 12.085 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.085 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 12.086 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 2 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 12.086 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 12.086 * [taylor]: Taking taylor expansion of 4 in n 12.086 * [backup-simplify]: Simplify 4 into 4 12.086 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.086 * [taylor]: Taking taylor expansion of n in n 12.086 * [backup-simplify]: Simplify 0 into 0 12.086 * [backup-simplify]: Simplify 1 into 1 12.086 * [backup-simplify]: Simplify (/ 1 1) into 1 12.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.087 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.087 * [backup-simplify]: Simplify 0 into 0 12.087 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.088 * [backup-simplify]: Simplify (+ 0 0) into 0 12.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 12.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.090 * [backup-simplify]: Simplify (- 0) into 0 12.090 * [backup-simplify]: Simplify (+ 0 0) into 0 12.090 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 12.091 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (* 4 (/ 1 n)) (/ (- (* 2 (/ 1 n))) 1)))) into (* 8 (/ 1 (pow n 2))) 12.091 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow n 2))) in n 12.091 * [taylor]: Taking taylor expansion of 8 in n 12.091 * [backup-simplify]: Simplify 8 into 8 12.091 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.091 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.091 * [taylor]: Taking taylor expansion of n in n 12.091 * [backup-simplify]: Simplify 0 into 0 12.091 * [backup-simplify]: Simplify 1 into 1 12.091 * [backup-simplify]: Simplify (* 1 1) into 1 12.091 * [backup-simplify]: Simplify (/ 1 1) into 1 12.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.094 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 12.094 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.095 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 12.095 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify 0 into 0 12.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.096 * [backup-simplify]: Simplify (+ 0 0) into 0 12.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 12.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.098 * [backup-simplify]: Simplify (- 0) into 0 12.098 * [backup-simplify]: Simplify (+ 0 0) into 0 12.099 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 12.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 n)) (/ (/ 1 (pow n 2)) 1)) (* (* 8 (/ 1 (pow n 2))) (/ (- (* 2 (/ 1 n))) 1)))) into (* 12 (/ 1 (pow n 3))) 12.100 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow n 3))) in n 12.100 * [taylor]: Taking taylor expansion of 12 in n 12.100 * [backup-simplify]: Simplify 12 into 12 12.100 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.100 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.100 * [taylor]: Taking taylor expansion of n in n 12.100 * [backup-simplify]: Simplify 0 into 0 12.100 * [backup-simplify]: Simplify 1 into 1 12.100 * [backup-simplify]: Simplify (* 1 1) into 1 12.100 * [backup-simplify]: Simplify (* 1 1) into 1 12.100 * [backup-simplify]: Simplify (/ 1 1) into 1 12.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.107 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.107 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify 1 into 1 12.107 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 12.108 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 12.108 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 12.108 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 12.108 * [taylor]: Taking taylor expansion of -1 in n 12.108 * [backup-simplify]: Simplify -1 into -1 12.108 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 12.108 * [taylor]: Taking taylor expansion of (+ n f) in n 12.108 * [taylor]: Taking taylor expansion of n in n 12.108 * [backup-simplify]: Simplify 0 into 0 12.108 * [backup-simplify]: Simplify 1 into 1 12.108 * [taylor]: Taking taylor expansion of f in n 12.108 * [backup-simplify]: Simplify f into f 12.108 * [taylor]: Taking taylor expansion of (- f n) in n 12.108 * [taylor]: Taking taylor expansion of f in n 12.108 * [backup-simplify]: Simplify f into f 12.108 * [taylor]: Taking taylor expansion of n in n 12.108 * [backup-simplify]: Simplify 0 into 0 12.108 * [backup-simplify]: Simplify 1 into 1 12.108 * [backup-simplify]: Simplify (+ 0 f) into f 12.109 * [backup-simplify]: Simplify (- 0) into 0 12.109 * [backup-simplify]: Simplify (+ f 0) into f 12.109 * [backup-simplify]: Simplify (/ f f) into 1 12.109 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.109 * [taylor]: Taking taylor expansion of -1 in f 12.109 * [backup-simplify]: Simplify -1 into -1 12.109 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.109 * [taylor]: Taking taylor expansion of (+ n f) in f 12.109 * [taylor]: Taking taylor expansion of n in f 12.109 * [backup-simplify]: Simplify n into n 12.109 * [taylor]: Taking taylor expansion of f in f 12.109 * [backup-simplify]: Simplify 0 into 0 12.109 * [backup-simplify]: Simplify 1 into 1 12.109 * [taylor]: Taking taylor expansion of (- f n) in f 12.109 * [taylor]: Taking taylor expansion of f in f 12.109 * [backup-simplify]: Simplify 0 into 0 12.109 * [backup-simplify]: Simplify 1 into 1 12.109 * [taylor]: Taking taylor expansion of n in f 12.109 * [backup-simplify]: Simplify n into n 12.109 * [backup-simplify]: Simplify (+ n 0) into n 12.109 * [backup-simplify]: Simplify (- n) into (- n) 12.109 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.109 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.109 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.110 * [taylor]: Taking taylor expansion of -1 in f 12.110 * [backup-simplify]: Simplify -1 into -1 12.110 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.110 * [taylor]: Taking taylor expansion of (+ n f) in f 12.110 * [taylor]: Taking taylor expansion of n in f 12.110 * [backup-simplify]: Simplify n into n 12.110 * [taylor]: Taking taylor expansion of f in f 12.110 * [backup-simplify]: Simplify 0 into 0 12.110 * [backup-simplify]: Simplify 1 into 1 12.110 * [taylor]: Taking taylor expansion of (- f n) in f 12.110 * [taylor]: Taking taylor expansion of f in f 12.110 * [backup-simplify]: Simplify 0 into 0 12.110 * [backup-simplify]: Simplify 1 into 1 12.110 * [taylor]: Taking taylor expansion of n in f 12.110 * [backup-simplify]: Simplify n into n 12.110 * [backup-simplify]: Simplify (+ n 0) into n 12.110 * [backup-simplify]: Simplify (- n) into (- n) 12.110 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.110 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.111 * [backup-simplify]: Simplify (* -1 -1) into 1 12.111 * [taylor]: Taking taylor expansion of 1 in n 12.111 * [backup-simplify]: Simplify 1 into 1 12.111 * [backup-simplify]: Simplify 1 into 1 12.111 * [backup-simplify]: Simplify (+ 0 1) into 1 12.112 * [backup-simplify]: Simplify (- 0) into 0 12.112 * [backup-simplify]: Simplify (+ 1 0) into 1 12.112 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 12.113 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 12.113 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.113 * [taylor]: Taking taylor expansion of 2 in n 12.113 * [backup-simplify]: Simplify 2 into 2 12.113 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.113 * [taylor]: Taking taylor expansion of n in n 12.113 * [backup-simplify]: Simplify 0 into 0 12.113 * [backup-simplify]: Simplify 1 into 1 12.114 * [backup-simplify]: Simplify (/ 1 1) into 1 12.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.115 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.115 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify (+ 0 0) into 0 12.116 * [backup-simplify]: Simplify (- 0) into 0 12.116 * [backup-simplify]: Simplify (+ 0 0) into 0 12.117 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 12.117 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 12.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.118 * [taylor]: Taking taylor expansion of 2 in n 12.118 * [backup-simplify]: Simplify 2 into 2 12.118 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.118 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.118 * [taylor]: Taking taylor expansion of n in n 12.118 * [backup-simplify]: Simplify 0 into 0 12.118 * [backup-simplify]: Simplify 1 into 1 12.118 * [backup-simplify]: Simplify (* 1 1) into 1 12.118 * [backup-simplify]: Simplify (/ 1 1) into 1 12.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.125 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.127 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.127 * [backup-simplify]: Simplify 0 into 0 12.127 * [backup-simplify]: Simplify 0 into 0 12.127 * [backup-simplify]: Simplify (+ 0 0) into 0 12.127 * [backup-simplify]: Simplify (- 0) into 0 12.127 * [backup-simplify]: Simplify (+ 0 0) into 0 12.128 * [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)))) 12.128 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 12.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.129 * [taylor]: Taking taylor expansion of 2 in n 12.129 * [backup-simplify]: Simplify 2 into 2 12.129 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.129 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.129 * [taylor]: Taking taylor expansion of n in n 12.129 * [backup-simplify]: Simplify 0 into 0 12.129 * [backup-simplify]: Simplify 1 into 1 12.129 * [backup-simplify]: Simplify (* 1 1) into 1 12.129 * [backup-simplify]: Simplify (* 1 1) into 1 12.129 * [backup-simplify]: Simplify (/ 1 1) into 1 12.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.134 * [backup-simplify]: Simplify 0 into 0 12.134 * [backup-simplify]: Simplify 1 into 1 12.135 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 12.135 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 12.135 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 12.135 * [taylor]: Taking taylor expansion of -1 in n 12.135 * [backup-simplify]: Simplify -1 into -1 12.135 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 12.135 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.135 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.135 * [taylor]: Taking taylor expansion of f in n 12.135 * [backup-simplify]: Simplify f into f 12.135 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.135 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.135 * [taylor]: Taking taylor expansion of n in n 12.135 * [backup-simplify]: Simplify 0 into 0 12.135 * [backup-simplify]: Simplify 1 into 1 12.135 * [backup-simplify]: Simplify (/ 1 1) into 1 12.135 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.135 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.135 * [taylor]: Taking taylor expansion of f in n 12.135 * [backup-simplify]: Simplify f into f 12.135 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.135 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.135 * [taylor]: Taking taylor expansion of n in n 12.135 * [backup-simplify]: Simplify 0 into 0 12.135 * [backup-simplify]: Simplify 1 into 1 12.136 * [backup-simplify]: Simplify (/ 1 1) into 1 12.136 * [backup-simplify]: Simplify (+ 0 1) into 1 12.136 * [backup-simplify]: Simplify (- 1) into -1 12.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.137 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.137 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.137 * [taylor]: Taking taylor expansion of -1 in f 12.137 * [backup-simplify]: Simplify -1 into -1 12.137 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.137 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.137 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.137 * [taylor]: Taking taylor expansion of f in f 12.137 * [backup-simplify]: Simplify 0 into 0 12.137 * [backup-simplify]: Simplify 1 into 1 12.137 * [backup-simplify]: Simplify (/ 1 1) into 1 12.137 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.137 * [taylor]: Taking taylor expansion of n in f 12.137 * [backup-simplify]: Simplify n into n 12.137 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.137 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.137 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.137 * [taylor]: Taking taylor expansion of f in f 12.137 * [backup-simplify]: Simplify 0 into 0 12.137 * [backup-simplify]: Simplify 1 into 1 12.137 * [backup-simplify]: Simplify (/ 1 1) into 1 12.137 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.138 * [taylor]: Taking taylor expansion of n in f 12.138 * [backup-simplify]: Simplify n into n 12.138 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.138 * [backup-simplify]: Simplify (+ 1 0) into 1 12.138 * [backup-simplify]: Simplify (+ 1 0) into 1 12.138 * [backup-simplify]: Simplify (/ 1 1) into 1 12.138 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.138 * [taylor]: Taking taylor expansion of -1 in f 12.138 * [backup-simplify]: Simplify -1 into -1 12.138 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.138 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.138 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.138 * [taylor]: Taking taylor expansion of f in f 12.138 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify 1 into 1 12.139 * [backup-simplify]: Simplify (/ 1 1) into 1 12.139 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.139 * [taylor]: Taking taylor expansion of n in f 12.139 * [backup-simplify]: Simplify n into n 12.139 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.139 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.139 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.139 * [taylor]: Taking taylor expansion of f in f 12.139 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify 1 into 1 12.139 * [backup-simplify]: Simplify (/ 1 1) into 1 12.139 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.139 * [taylor]: Taking taylor expansion of n in f 12.139 * [backup-simplify]: Simplify n into n 12.139 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.140 * [backup-simplify]: Simplify (+ 1 0) into 1 12.140 * [backup-simplify]: Simplify (+ 1 0) into 1 12.140 * [backup-simplify]: Simplify (/ 1 1) into 1 12.140 * [backup-simplify]: Simplify (* -1 1) into -1 12.140 * [taylor]: Taking taylor expansion of -1 in n 12.140 * [backup-simplify]: Simplify -1 into -1 12.140 * [backup-simplify]: Simplify -1 into -1 12.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.141 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.141 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.142 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.142 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 12.142 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 12.142 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.142 * [taylor]: Taking taylor expansion of 2 in n 12.142 * [backup-simplify]: Simplify 2 into 2 12.142 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.142 * [taylor]: Taking taylor expansion of n in n 12.142 * [backup-simplify]: Simplify 0 into 0 12.142 * [backup-simplify]: Simplify 1 into 1 12.142 * [backup-simplify]: Simplify (/ 1 1) into 1 12.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.143 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.143 * [backup-simplify]: Simplify (- 0) into 0 12.143 * [backup-simplify]: Simplify 0 into 0 12.143 * [backup-simplify]: Simplify 0 into 0 12.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.144 * [backup-simplify]: Simplify (+ 0 0) into 0 12.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.145 * [backup-simplify]: Simplify (- 0) into 0 12.145 * [backup-simplify]: Simplify (+ 0 0) into 0 12.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 12.147 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 12.147 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.147 * [taylor]: Taking taylor expansion of 2 in n 12.147 * [backup-simplify]: Simplify 2 into 2 12.147 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.147 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.147 * [taylor]: Taking taylor expansion of n in n 12.147 * [backup-simplify]: Simplify 0 into 0 12.147 * [backup-simplify]: Simplify 1 into 1 12.147 * [backup-simplify]: Simplify (* 1 1) into 1 12.147 * [backup-simplify]: Simplify (/ 1 1) into 1 12.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.151 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.152 * [backup-simplify]: Simplify (- 0) into 0 12.152 * [backup-simplify]: Simplify 0 into 0 12.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.154 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.154 * [backup-simplify]: Simplify (- 0) into 0 12.154 * [backup-simplify]: Simplify 0 into 0 12.154 * [backup-simplify]: Simplify 0 into 0 12.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.156 * [backup-simplify]: Simplify (+ 0 0) into 0 12.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.157 * [backup-simplify]: Simplify (- 0) into 0 12.158 * [backup-simplify]: Simplify (+ 0 0) into 0 12.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 12.161 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.161 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.161 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.161 * [taylor]: Taking taylor expansion of 2 in n 12.161 * [backup-simplify]: Simplify 2 into 2 12.161 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.161 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.161 * [taylor]: Taking taylor expansion of n in n 12.161 * [backup-simplify]: Simplify 0 into 0 12.161 * [backup-simplify]: Simplify 1 into 1 12.161 * [backup-simplify]: Simplify (* 1 1) into 1 12.162 * [backup-simplify]: Simplify (* 1 1) into 1 12.162 * [backup-simplify]: Simplify (/ 1 1) into 1 12.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.172 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.172 * [backup-simplify]: Simplify (- 0) into 0 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify -1 into -1 12.173 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 12.173 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 12.173 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 12.173 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.173 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.173 * [taylor]: Taking taylor expansion of f in n 12.173 * [backup-simplify]: Simplify f into f 12.173 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.173 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.173 * [taylor]: Taking taylor expansion of n in n 12.173 * [backup-simplify]: Simplify 0 into 0 12.173 * [backup-simplify]: Simplify 1 into 1 12.174 * [backup-simplify]: Simplify (/ 1 1) into 1 12.174 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.174 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.174 * [taylor]: Taking taylor expansion of n in n 12.174 * [backup-simplify]: Simplify 0 into 0 12.174 * [backup-simplify]: Simplify 1 into 1 12.174 * [backup-simplify]: Simplify (/ 1 1) into 1 12.174 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.174 * [taylor]: Taking taylor expansion of f in n 12.174 * [backup-simplify]: Simplify f into f 12.174 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.175 * [backup-simplify]: Simplify (+ 0 1) into 1 12.176 * [backup-simplify]: Simplify (+ 1 0) into 1 12.176 * [backup-simplify]: Simplify (/ 1 1) into 1 12.176 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.176 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.176 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.176 * [taylor]: Taking taylor expansion of f in f 12.176 * [backup-simplify]: Simplify 0 into 0 12.176 * [backup-simplify]: Simplify 1 into 1 12.177 * [backup-simplify]: Simplify (/ 1 1) into 1 12.177 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.177 * [taylor]: Taking taylor expansion of n in f 12.177 * [backup-simplify]: Simplify n into n 12.177 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.177 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.177 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.177 * [taylor]: Taking taylor expansion of n in f 12.177 * [backup-simplify]: Simplify n into n 12.177 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.177 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.177 * [taylor]: Taking taylor expansion of f in f 12.177 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify 1 into 1 12.177 * [backup-simplify]: Simplify (/ 1 1) into 1 12.178 * [backup-simplify]: Simplify (+ 1 0) into 1 12.178 * [backup-simplify]: Simplify (- 1) into -1 12.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.179 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.180 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.180 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.180 * [taylor]: Taking taylor expansion of f in f 12.180 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify 1 into 1 12.180 * [backup-simplify]: Simplify (/ 1 1) into 1 12.180 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.180 * [taylor]: Taking taylor expansion of n in f 12.180 * [backup-simplify]: Simplify n into n 12.180 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.180 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.180 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.180 * [taylor]: Taking taylor expansion of n in f 12.180 * [backup-simplify]: Simplify n into n 12.180 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.180 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.180 * [taylor]: Taking taylor expansion of f in f 12.181 * [backup-simplify]: Simplify 0 into 0 12.181 * [backup-simplify]: Simplify 1 into 1 12.181 * [backup-simplify]: Simplify (/ 1 1) into 1 12.181 * [backup-simplify]: Simplify (+ 1 0) into 1 12.182 * [backup-simplify]: Simplify (- 1) into -1 12.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.183 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.183 * [taylor]: Taking taylor expansion of -1 in n 12.183 * [backup-simplify]: Simplify -1 into -1 12.183 * [backup-simplify]: Simplify -1 into -1 12.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.184 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.185 * [backup-simplify]: Simplify (- 0) into 0 12.185 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.185 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 12.185 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.185 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.185 * [taylor]: Taking taylor expansion of 2 in n 12.185 * [backup-simplify]: Simplify 2 into 2 12.185 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.185 * [taylor]: Taking taylor expansion of n in n 12.186 * [backup-simplify]: Simplify 0 into 0 12.186 * [backup-simplify]: Simplify 1 into 1 12.186 * [backup-simplify]: Simplify (/ 1 1) into 1 12.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.187 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.188 * [backup-simplify]: Simplify (- 0) into 0 12.188 * [backup-simplify]: Simplify 0 into 0 12.188 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.189 * [backup-simplify]: Simplify (+ 0 0) into 0 12.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.191 * [backup-simplify]: Simplify (- 0) into 0 12.191 * [backup-simplify]: Simplify (+ 0 0) into 0 12.193 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.193 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.193 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.193 * [taylor]: Taking taylor expansion of 2 in n 12.193 * [backup-simplify]: Simplify 2 into 2 12.193 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.193 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.193 * [taylor]: Taking taylor expansion of n in n 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 1 into 1 12.193 * [backup-simplify]: Simplify (* 1 1) into 1 12.194 * [backup-simplify]: Simplify (/ 1 1) into 1 12.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.198 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.198 * [backup-simplify]: Simplify (- 0) into 0 12.198 * [backup-simplify]: Simplify 0 into 0 12.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.201 * [backup-simplify]: Simplify (- 0) into 0 12.201 * [backup-simplify]: Simplify 0 into 0 12.201 * [backup-simplify]: Simplify 0 into 0 12.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.203 * [backup-simplify]: Simplify (+ 0 0) into 0 12.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.205 * [backup-simplify]: Simplify (- 0) into 0 12.205 * [backup-simplify]: Simplify (+ 0 0) into 0 12.207 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.207 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.207 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.207 * [taylor]: Taking taylor expansion of 2 in n 12.207 * [backup-simplify]: Simplify 2 into 2 12.207 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.207 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.207 * [taylor]: Taking taylor expansion of n in n 12.207 * [backup-simplify]: Simplify 0 into 0 12.207 * [backup-simplify]: Simplify 1 into 1 12.208 * [backup-simplify]: Simplify (* 1 1) into 1 12.208 * [backup-simplify]: Simplify (* 1 1) into 1 12.208 * [backup-simplify]: Simplify (/ 1 1) into 1 12.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.219 * [backup-simplify]: Simplify (- 0) into 0 12.219 * [backup-simplify]: Simplify 0 into 0 12.219 * [backup-simplify]: Simplify -1 into -1 12.219 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 12.219 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 12.219 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 12.219 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 12.220 * [taylor]: Taking taylor expansion of -1 in n 12.220 * [backup-simplify]: Simplify -1 into -1 12.220 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 12.220 * [taylor]: Taking taylor expansion of (+ n f) in n 12.220 * [taylor]: Taking taylor expansion of n in n 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [taylor]: Taking taylor expansion of f in n 12.220 * [backup-simplify]: Simplify f into f 12.220 * [taylor]: Taking taylor expansion of (- f n) in n 12.220 * [taylor]: Taking taylor expansion of f in n 12.220 * [backup-simplify]: Simplify f into f 12.220 * [taylor]: Taking taylor expansion of n in n 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [backup-simplify]: Simplify (+ 0 f) into f 12.220 * [backup-simplify]: Simplify (- 0) into 0 12.220 * [backup-simplify]: Simplify (+ f 0) into f 12.221 * [backup-simplify]: Simplify (/ f f) into 1 12.221 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.221 * [taylor]: Taking taylor expansion of -1 in f 12.221 * [backup-simplify]: Simplify -1 into -1 12.221 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.221 * [taylor]: Taking taylor expansion of (+ n f) in f 12.221 * [taylor]: Taking taylor expansion of n in f 12.221 * [backup-simplify]: Simplify n into n 12.221 * [taylor]: Taking taylor expansion of f in f 12.221 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify 1 into 1 12.221 * [taylor]: Taking taylor expansion of (- f n) in f 12.221 * [taylor]: Taking taylor expansion of f in f 12.221 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify 1 into 1 12.221 * [taylor]: Taking taylor expansion of n in f 12.221 * [backup-simplify]: Simplify n into n 12.221 * [backup-simplify]: Simplify (+ n 0) into n 12.221 * [backup-simplify]: Simplify (- n) into (- n) 12.221 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.221 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.221 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.221 * [taylor]: Taking taylor expansion of -1 in f 12.221 * [backup-simplify]: Simplify -1 into -1 12.221 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.221 * [taylor]: Taking taylor expansion of (+ n f) in f 12.221 * [taylor]: Taking taylor expansion of n in f 12.221 * [backup-simplify]: Simplify n into n 12.221 * [taylor]: Taking taylor expansion of f in f 12.221 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify 1 into 1 12.222 * [taylor]: Taking taylor expansion of (- f n) in f 12.222 * [taylor]: Taking taylor expansion of f in f 12.222 * [backup-simplify]: Simplify 0 into 0 12.222 * [backup-simplify]: Simplify 1 into 1 12.222 * [taylor]: Taking taylor expansion of n in f 12.222 * [backup-simplify]: Simplify n into n 12.222 * [backup-simplify]: Simplify (+ n 0) into n 12.222 * [backup-simplify]: Simplify (- n) into (- n) 12.222 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.222 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.222 * [backup-simplify]: Simplify (* -1 -1) into 1 12.222 * [taylor]: Taking taylor expansion of 1 in n 12.223 * [backup-simplify]: Simplify 1 into 1 12.223 * [backup-simplify]: Simplify 1 into 1 12.223 * [backup-simplify]: Simplify (+ 0 1) into 1 12.223 * [backup-simplify]: Simplify (- 0) into 0 12.224 * [backup-simplify]: Simplify (+ 1 0) into 1 12.224 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 12.225 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 12.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.225 * [taylor]: Taking taylor expansion of 2 in n 12.225 * [backup-simplify]: Simplify 2 into 2 12.225 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.225 * [taylor]: Taking taylor expansion of n in n 12.225 * [backup-simplify]: Simplify 0 into 0 12.225 * [backup-simplify]: Simplify 1 into 1 12.225 * [backup-simplify]: Simplify (/ 1 1) into 1 12.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.227 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.227 * [backup-simplify]: Simplify 0 into 0 12.227 * [backup-simplify]: Simplify 0 into 0 12.227 * [backup-simplify]: Simplify (+ 0 0) into 0 12.228 * [backup-simplify]: Simplify (- 0) into 0 12.228 * [backup-simplify]: Simplify (+ 0 0) into 0 12.228 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 12.229 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 12.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.229 * [taylor]: Taking taylor expansion of 2 in n 12.229 * [backup-simplify]: Simplify 2 into 2 12.230 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.230 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.230 * [taylor]: Taking taylor expansion of n in n 12.230 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify 1 into 1 12.230 * [backup-simplify]: Simplify (* 1 1) into 1 12.231 * [backup-simplify]: Simplify (/ 1 1) into 1 12.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.235 * [backup-simplify]: Simplify 0 into 0 12.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.237 * [backup-simplify]: Simplify 0 into 0 12.237 * [backup-simplify]: Simplify 0 into 0 12.237 * [backup-simplify]: Simplify (+ 0 0) into 0 12.237 * [backup-simplify]: Simplify (- 0) into 0 12.238 * [backup-simplify]: Simplify (+ 0 0) into 0 12.238 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 12.240 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 12.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.240 * [taylor]: Taking taylor expansion of 2 in n 12.240 * [backup-simplify]: Simplify 2 into 2 12.240 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.240 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.240 * [taylor]: Taking taylor expansion of n in n 12.240 * [backup-simplify]: Simplify 0 into 0 12.240 * [backup-simplify]: Simplify 1 into 1 12.240 * [backup-simplify]: Simplify (* 1 1) into 1 12.240 * [backup-simplify]: Simplify (* 1 1) into 1 12.241 * [backup-simplify]: Simplify (/ 1 1) into 1 12.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.249 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.249 * [backup-simplify]: Simplify 0 into 0 12.249 * [backup-simplify]: Simplify 1 into 1 12.249 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 12.249 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 12.249 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 12.249 * [taylor]: Taking taylor expansion of -1 in n 12.249 * [backup-simplify]: Simplify -1 into -1 12.249 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 12.249 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.249 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.249 * [taylor]: Taking taylor expansion of f in n 12.249 * [backup-simplify]: Simplify f into f 12.249 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.249 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.249 * [taylor]: Taking taylor expansion of n in n 12.249 * [backup-simplify]: Simplify 0 into 0 12.249 * [backup-simplify]: Simplify 1 into 1 12.250 * [backup-simplify]: Simplify (/ 1 1) into 1 12.250 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.250 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.250 * [taylor]: Taking taylor expansion of f in n 12.250 * [backup-simplify]: Simplify f into f 12.250 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.250 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.250 * [taylor]: Taking taylor expansion of n in n 12.250 * [backup-simplify]: Simplify 0 into 0 12.250 * [backup-simplify]: Simplify 1 into 1 12.250 * [backup-simplify]: Simplify (/ 1 1) into 1 12.251 * [backup-simplify]: Simplify (+ 0 1) into 1 12.251 * [backup-simplify]: Simplify (- 1) into -1 12.251 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.252 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.252 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.252 * [taylor]: Taking taylor expansion of -1 in f 12.252 * [backup-simplify]: Simplify -1 into -1 12.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.252 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.252 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.252 * [taylor]: Taking taylor expansion of f in f 12.252 * [backup-simplify]: Simplify 0 into 0 12.252 * [backup-simplify]: Simplify 1 into 1 12.252 * [backup-simplify]: Simplify (/ 1 1) into 1 12.252 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.252 * [taylor]: Taking taylor expansion of n in f 12.252 * [backup-simplify]: Simplify n into n 12.252 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.253 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.253 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.253 * [taylor]: Taking taylor expansion of f in f 12.253 * [backup-simplify]: Simplify 0 into 0 12.253 * [backup-simplify]: Simplify 1 into 1 12.253 * [backup-simplify]: Simplify (/ 1 1) into 1 12.253 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.253 * [taylor]: Taking taylor expansion of n in f 12.253 * [backup-simplify]: Simplify n into n 12.253 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.253 * [backup-simplify]: Simplify (+ 1 0) into 1 12.254 * [backup-simplify]: Simplify (+ 1 0) into 1 12.254 * [backup-simplify]: Simplify (/ 1 1) into 1 12.254 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.254 * [taylor]: Taking taylor expansion of -1 in f 12.254 * [backup-simplify]: Simplify -1 into -1 12.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.254 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.254 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.254 * [taylor]: Taking taylor expansion of f in f 12.254 * [backup-simplify]: Simplify 0 into 0 12.254 * [backup-simplify]: Simplify 1 into 1 12.255 * [backup-simplify]: Simplify (/ 1 1) into 1 12.255 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.255 * [taylor]: Taking taylor expansion of n in f 12.255 * [backup-simplify]: Simplify n into n 12.255 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.255 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.255 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.255 * [taylor]: Taking taylor expansion of f in f 12.255 * [backup-simplify]: Simplify 0 into 0 12.255 * [backup-simplify]: Simplify 1 into 1 12.255 * [backup-simplify]: Simplify (/ 1 1) into 1 12.255 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.255 * [taylor]: Taking taylor expansion of n in f 12.255 * [backup-simplify]: Simplify n into n 12.255 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.256 * [backup-simplify]: Simplify (+ 1 0) into 1 12.256 * [backup-simplify]: Simplify (+ 1 0) into 1 12.257 * [backup-simplify]: Simplify (/ 1 1) into 1 12.257 * [backup-simplify]: Simplify (* -1 1) into -1 12.257 * [taylor]: Taking taylor expansion of -1 in n 12.257 * [backup-simplify]: Simplify -1 into -1 12.257 * [backup-simplify]: Simplify -1 into -1 12.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.258 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.259 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.259 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.259 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 12.265 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 12.265 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.265 * [taylor]: Taking taylor expansion of 2 in n 12.265 * [backup-simplify]: Simplify 2 into 2 12.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.265 * [taylor]: Taking taylor expansion of n in n 12.266 * [backup-simplify]: Simplify 0 into 0 12.266 * [backup-simplify]: Simplify 1 into 1 12.266 * [backup-simplify]: Simplify (/ 1 1) into 1 12.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.268 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.268 * [backup-simplify]: Simplify (- 0) into 0 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.269 * [backup-simplify]: Simplify (+ 0 0) into 0 12.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.271 * [backup-simplify]: Simplify (- 0) into 0 12.271 * [backup-simplify]: Simplify (+ 0 0) into 0 12.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 12.273 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 12.273 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.273 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.273 * [taylor]: Taking taylor expansion of 2 in n 12.273 * [backup-simplify]: Simplify 2 into 2 12.273 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.273 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.273 * [taylor]: Taking taylor expansion of n in n 12.273 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify 1 into 1 12.274 * [backup-simplify]: Simplify (* 1 1) into 1 12.274 * [backup-simplify]: Simplify (/ 1 1) into 1 12.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.279 * [backup-simplify]: Simplify (- 0) into 0 12.279 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.281 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.281 * [backup-simplify]: Simplify (- 0) into 0 12.281 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.283 * [backup-simplify]: Simplify (+ 0 0) into 0 12.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.284 * [backup-simplify]: Simplify (- 0) into 0 12.285 * [backup-simplify]: Simplify (+ 0 0) into 0 12.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 12.287 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.287 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.287 * [taylor]: Taking taylor expansion of 2 in n 12.287 * [backup-simplify]: Simplify 2 into 2 12.287 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.287 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.287 * [taylor]: Taking taylor expansion of n in n 12.287 * [backup-simplify]: Simplify 0 into 0 12.287 * [backup-simplify]: Simplify 1 into 1 12.288 * [backup-simplify]: Simplify (* 1 1) into 1 12.288 * [backup-simplify]: Simplify (* 1 1) into 1 12.289 * [backup-simplify]: Simplify (/ 1 1) into 1 12.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.298 * [backup-simplify]: Simplify (- 0) into 0 12.298 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify -1 into -1 12.298 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 12.298 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 12.298 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 12.299 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.299 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.299 * [taylor]: Taking taylor expansion of f in n 12.299 * [backup-simplify]: Simplify f into f 12.299 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.299 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.299 * [taylor]: Taking taylor expansion of n in n 12.299 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify 1 into 1 12.299 * [backup-simplify]: Simplify (/ 1 1) into 1 12.299 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.299 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.299 * [taylor]: Taking taylor expansion of n in n 12.299 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify 1 into 1 12.300 * [backup-simplify]: Simplify (/ 1 1) into 1 12.300 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.300 * [taylor]: Taking taylor expansion of f in n 12.300 * [backup-simplify]: Simplify f into f 12.300 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.300 * [backup-simplify]: Simplify (+ 0 1) into 1 12.301 * [backup-simplify]: Simplify (+ 1 0) into 1 12.301 * [backup-simplify]: Simplify (/ 1 1) into 1 12.301 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.301 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.301 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.301 * [taylor]: Taking taylor expansion of f in f 12.301 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify 1 into 1 12.302 * [backup-simplify]: Simplify (/ 1 1) into 1 12.302 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.302 * [taylor]: Taking taylor expansion of n in f 12.302 * [backup-simplify]: Simplify n into n 12.302 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.302 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.302 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.302 * [taylor]: Taking taylor expansion of n in f 12.302 * [backup-simplify]: Simplify n into n 12.302 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.302 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.302 * [taylor]: Taking taylor expansion of f in f 12.302 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify 1 into 1 12.302 * [backup-simplify]: Simplify (/ 1 1) into 1 12.303 * [backup-simplify]: Simplify (+ 1 0) into 1 12.304 * [backup-simplify]: Simplify (- 1) into -1 12.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.304 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.305 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.305 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.305 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.305 * [taylor]: Taking taylor expansion of f in f 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify 1 into 1 12.305 * [backup-simplify]: Simplify (/ 1 1) into 1 12.305 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.305 * [taylor]: Taking taylor expansion of n in f 12.305 * [backup-simplify]: Simplify n into n 12.305 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.305 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.305 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.305 * [taylor]: Taking taylor expansion of n in f 12.305 * [backup-simplify]: Simplify n into n 12.305 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.305 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.305 * [taylor]: Taking taylor expansion of f in f 12.306 * [backup-simplify]: Simplify 0 into 0 12.306 * [backup-simplify]: Simplify 1 into 1 12.306 * [backup-simplify]: Simplify (/ 1 1) into 1 12.306 * [backup-simplify]: Simplify (+ 1 0) into 1 12.307 * [backup-simplify]: Simplify (- 1) into -1 12.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.308 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.308 * [taylor]: Taking taylor expansion of -1 in n 12.308 * [backup-simplify]: Simplify -1 into -1 12.308 * [backup-simplify]: Simplify -1 into -1 12.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.309 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.310 * [backup-simplify]: Simplify (- 0) into 0 12.310 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.310 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 12.310 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.310 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.310 * [taylor]: Taking taylor expansion of 2 in n 12.310 * [backup-simplify]: Simplify 2 into 2 12.310 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.310 * [taylor]: Taking taylor expansion of n in n 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify 1 into 1 12.311 * [backup-simplify]: Simplify (/ 1 1) into 1 12.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.312 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.313 * [backup-simplify]: Simplify (- 0) into 0 12.313 * [backup-simplify]: Simplify 0 into 0 12.313 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.314 * [backup-simplify]: Simplify (+ 0 0) into 0 12.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.316 * [backup-simplify]: Simplify (- 0) into 0 12.316 * [backup-simplify]: Simplify (+ 0 0) into 0 12.318 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.318 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.318 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.318 * [taylor]: Taking taylor expansion of 2 in n 12.318 * [backup-simplify]: Simplify 2 into 2 12.318 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.318 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.318 * [taylor]: Taking taylor expansion of n in n 12.318 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify 1 into 1 12.318 * [backup-simplify]: Simplify (* 1 1) into 1 12.319 * [backup-simplify]: Simplify (/ 1 1) into 1 12.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.323 * [backup-simplify]: Simplify (- 0) into 0 12.323 * [backup-simplify]: Simplify 0 into 0 12.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.325 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.326 * [backup-simplify]: Simplify (- 0) into 0 12.326 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.327 * [backup-simplify]: Simplify (+ 0 0) into 0 12.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.329 * [backup-simplify]: Simplify (- 0) into 0 12.329 * [backup-simplify]: Simplify (+ 0 0) into 0 12.331 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.331 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.331 * [taylor]: Taking taylor expansion of 2 in n 12.331 * [backup-simplify]: Simplify 2 into 2 12.331 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.331 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.332 * [taylor]: Taking taylor expansion of n in n 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify 1 into 1 12.332 * [backup-simplify]: Simplify (* 1 1) into 1 12.332 * [backup-simplify]: Simplify (* 1 1) into 1 12.333 * [backup-simplify]: Simplify (/ 1 1) into 1 12.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.342 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.342 * [backup-simplify]: Simplify (- 0) into 0 12.342 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify -1 into -1 12.342 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 12.342 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 12.343 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 12.343 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 12.343 * [taylor]: Taking taylor expansion of -1 in n 12.343 * [backup-simplify]: Simplify -1 into -1 12.343 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 12.343 * [taylor]: Taking taylor expansion of (+ n f) in n 12.343 * [taylor]: Taking taylor expansion of n in n 12.343 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify 1 into 1 12.343 * [taylor]: Taking taylor expansion of f in n 12.343 * [backup-simplify]: Simplify f into f 12.343 * [taylor]: Taking taylor expansion of (- f n) in n 12.343 * [taylor]: Taking taylor expansion of f in n 12.343 * [backup-simplify]: Simplify f into f 12.343 * [taylor]: Taking taylor expansion of n in n 12.343 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify 1 into 1 12.343 * [backup-simplify]: Simplify (+ 0 f) into f 12.343 * [backup-simplify]: Simplify (- 0) into 0 12.344 * [backup-simplify]: Simplify (+ f 0) into f 12.344 * [backup-simplify]: Simplify (/ f f) into 1 12.344 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.344 * [taylor]: Taking taylor expansion of -1 in f 12.344 * [backup-simplify]: Simplify -1 into -1 12.344 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.344 * [taylor]: Taking taylor expansion of (+ n f) in f 12.344 * [taylor]: Taking taylor expansion of n in f 12.344 * [backup-simplify]: Simplify n into n 12.344 * [taylor]: Taking taylor expansion of f in f 12.344 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify 1 into 1 12.344 * [taylor]: Taking taylor expansion of (- f n) in f 12.344 * [taylor]: Taking taylor expansion of f in f 12.344 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify 1 into 1 12.344 * [taylor]: Taking taylor expansion of n in f 12.344 * [backup-simplify]: Simplify n into n 12.344 * [backup-simplify]: Simplify (+ n 0) into n 12.344 * [backup-simplify]: Simplify (- n) into (- n) 12.344 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.344 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.344 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 12.344 * [taylor]: Taking taylor expansion of -1 in f 12.344 * [backup-simplify]: Simplify -1 into -1 12.344 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 12.344 * [taylor]: Taking taylor expansion of (+ n f) in f 12.344 * [taylor]: Taking taylor expansion of n in f 12.344 * [backup-simplify]: Simplify n into n 12.345 * [taylor]: Taking taylor expansion of f in f 12.345 * [backup-simplify]: Simplify 0 into 0 12.345 * [backup-simplify]: Simplify 1 into 1 12.345 * [taylor]: Taking taylor expansion of (- f n) in f 12.345 * [taylor]: Taking taylor expansion of f in f 12.345 * [backup-simplify]: Simplify 0 into 0 12.345 * [backup-simplify]: Simplify 1 into 1 12.345 * [taylor]: Taking taylor expansion of n in f 12.345 * [backup-simplify]: Simplify n into n 12.345 * [backup-simplify]: Simplify (+ n 0) into n 12.345 * [backup-simplify]: Simplify (- n) into (- n) 12.345 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.345 * [backup-simplify]: Simplify (/ n (- n)) into -1 12.346 * [backup-simplify]: Simplify (* -1 -1) into 1 12.346 * [taylor]: Taking taylor expansion of 1 in n 12.346 * [backup-simplify]: Simplify 1 into 1 12.346 * [backup-simplify]: Simplify 1 into 1 12.346 * [backup-simplify]: Simplify (+ 0 1) into 1 12.347 * [backup-simplify]: Simplify (- 0) into 0 12.347 * [backup-simplify]: Simplify (+ 1 0) into 1 12.347 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 12.348 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 12.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.348 * [taylor]: Taking taylor expansion of 2 in n 12.348 * [backup-simplify]: Simplify 2 into 2 12.348 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.348 * [taylor]: Taking taylor expansion of n in n 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 1 into 1 12.348 * [backup-simplify]: Simplify (/ 1 1) into 1 12.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.350 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify (+ 0 0) into 0 12.351 * [backup-simplify]: Simplify (- 0) into 0 12.351 * [backup-simplify]: Simplify (+ 0 0) into 0 12.352 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 12.353 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 12.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.353 * [taylor]: Taking taylor expansion of 2 in n 12.353 * [backup-simplify]: Simplify 2 into 2 12.353 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.353 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.353 * [taylor]: Taking taylor expansion of n in n 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify 1 into 1 12.353 * [backup-simplify]: Simplify (* 1 1) into 1 12.354 * [backup-simplify]: Simplify (/ 1 1) into 1 12.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.358 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.360 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify (+ 0 0) into 0 12.361 * [backup-simplify]: Simplify (- 0) into 0 12.361 * [backup-simplify]: Simplify (+ 0 0) into 0 12.362 * [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)))) 12.363 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 12.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.363 * [taylor]: Taking taylor expansion of 2 in n 12.363 * [backup-simplify]: Simplify 2 into 2 12.363 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.363 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.363 * [taylor]: Taking taylor expansion of n in n 12.363 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify 1 into 1 12.364 * [backup-simplify]: Simplify (* 1 1) into 1 12.364 * [backup-simplify]: Simplify (* 1 1) into 1 12.364 * [backup-simplify]: Simplify (/ 1 1) into 1 12.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.374 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.374 * [backup-simplify]: Simplify 0 into 0 12.374 * [backup-simplify]: Simplify 1 into 1 12.374 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 12.374 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 12.374 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 12.374 * [taylor]: Taking taylor expansion of -1 in n 12.374 * [backup-simplify]: Simplify -1 into -1 12.374 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 12.374 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.374 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.374 * [taylor]: Taking taylor expansion of f in n 12.374 * [backup-simplify]: Simplify f into f 12.374 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.374 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.374 * [taylor]: Taking taylor expansion of n in n 12.374 * [backup-simplify]: Simplify 0 into 0 12.374 * [backup-simplify]: Simplify 1 into 1 12.375 * [backup-simplify]: Simplify (/ 1 1) into 1 12.375 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.375 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.375 * [taylor]: Taking taylor expansion of f in n 12.375 * [backup-simplify]: Simplify f into f 12.375 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.375 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.375 * [taylor]: Taking taylor expansion of n in n 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 1 into 1 12.376 * [backup-simplify]: Simplify (/ 1 1) into 1 12.376 * [backup-simplify]: Simplify (+ 0 1) into 1 12.376 * [backup-simplify]: Simplify (- 1) into -1 12.377 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.377 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.377 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.377 * [taylor]: Taking taylor expansion of -1 in f 12.377 * [backup-simplify]: Simplify -1 into -1 12.377 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.377 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.377 * [taylor]: Taking taylor expansion of f in f 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.378 * [backup-simplify]: Simplify (/ 1 1) into 1 12.378 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.378 * [taylor]: Taking taylor expansion of n in f 12.378 * [backup-simplify]: Simplify n into n 12.378 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.378 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.378 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.378 * [taylor]: Taking taylor expansion of f in f 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.379 * [backup-simplify]: Simplify (/ 1 1) into 1 12.379 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.379 * [taylor]: Taking taylor expansion of n in f 12.379 * [backup-simplify]: Simplify n into n 12.379 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.379 * [backup-simplify]: Simplify (+ 1 0) into 1 12.380 * [backup-simplify]: Simplify (+ 1 0) into 1 12.380 * [backup-simplify]: Simplify (/ 1 1) into 1 12.380 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 12.380 * [taylor]: Taking taylor expansion of -1 in f 12.380 * [backup-simplify]: Simplify -1 into -1 12.380 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 12.380 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.380 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.380 * [taylor]: Taking taylor expansion of f in f 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 1 into 1 12.381 * [backup-simplify]: Simplify (/ 1 1) into 1 12.381 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.381 * [taylor]: Taking taylor expansion of n in f 12.381 * [backup-simplify]: Simplify n into n 12.381 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.381 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.381 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.381 * [taylor]: Taking taylor expansion of f in f 12.381 * [backup-simplify]: Simplify 0 into 0 12.381 * [backup-simplify]: Simplify 1 into 1 12.381 * [backup-simplify]: Simplify (/ 1 1) into 1 12.381 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.381 * [taylor]: Taking taylor expansion of n in f 12.381 * [backup-simplify]: Simplify n into n 12.381 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.382 * [backup-simplify]: Simplify (+ 1 0) into 1 12.382 * [backup-simplify]: Simplify (+ 1 0) into 1 12.383 * [backup-simplify]: Simplify (/ 1 1) into 1 12.383 * [backup-simplify]: Simplify (* -1 1) into -1 12.383 * [taylor]: Taking taylor expansion of -1 in n 12.383 * [backup-simplify]: Simplify -1 into -1 12.383 * [backup-simplify]: Simplify -1 into -1 12.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.384 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.385 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.386 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 12.386 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 12.386 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.386 * [taylor]: Taking taylor expansion of 2 in n 12.386 * [backup-simplify]: Simplify 2 into 2 12.386 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.386 * [taylor]: Taking taylor expansion of n in n 12.386 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [backup-simplify]: Simplify (/ 1 1) into 1 12.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.388 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.389 * [backup-simplify]: Simplify (- 0) into 0 12.389 * [backup-simplify]: Simplify 0 into 0 12.389 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.391 * [backup-simplify]: Simplify (+ 0 0) into 0 12.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.392 * [backup-simplify]: Simplify (- 0) into 0 12.393 * [backup-simplify]: Simplify (+ 0 0) into 0 12.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 12.395 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 12.395 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.395 * [taylor]: Taking taylor expansion of 2 in n 12.395 * [backup-simplify]: Simplify 2 into 2 12.395 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.395 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.395 * [taylor]: Taking taylor expansion of n in n 12.395 * [backup-simplify]: Simplify 0 into 0 12.395 * [backup-simplify]: Simplify 1 into 1 12.395 * [backup-simplify]: Simplify (* 1 1) into 1 12.396 * [backup-simplify]: Simplify (/ 1 1) into 1 12.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.401 * [backup-simplify]: Simplify (- 0) into 0 12.401 * [backup-simplify]: Simplify 0 into 0 12.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.403 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.403 * [backup-simplify]: Simplify (- 0) into 0 12.403 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify 0 into 0 12.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.405 * [backup-simplify]: Simplify (+ 0 0) into 0 12.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.407 * [backup-simplify]: Simplify (- 0) into 0 12.407 * [backup-simplify]: Simplify (+ 0 0) into 0 12.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 12.410 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.410 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.410 * [taylor]: Taking taylor expansion of 2 in n 12.410 * [backup-simplify]: Simplify 2 into 2 12.410 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.410 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.410 * [taylor]: Taking taylor expansion of n in n 12.410 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify 1 into 1 12.410 * [backup-simplify]: Simplify (* 1 1) into 1 12.411 * [backup-simplify]: Simplify (* 1 1) into 1 12.411 * [backup-simplify]: Simplify (/ 1 1) into 1 12.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.423 * [backup-simplify]: Simplify (- 0) into 0 12.423 * [backup-simplify]: Simplify 0 into 0 12.423 * [backup-simplify]: Simplify -1 into -1 12.424 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 12.424 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 12.424 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 12.424 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.424 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.424 * [taylor]: Taking taylor expansion of f in n 12.424 * [backup-simplify]: Simplify f into f 12.424 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.424 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.424 * [taylor]: Taking taylor expansion of n in n 12.424 * [backup-simplify]: Simplify 0 into 0 12.424 * [backup-simplify]: Simplify 1 into 1 12.424 * [backup-simplify]: Simplify (/ 1 1) into 1 12.424 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.424 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.424 * [taylor]: Taking taylor expansion of n in n 12.424 * [backup-simplify]: Simplify 0 into 0 12.424 * [backup-simplify]: Simplify 1 into 1 12.424 * [backup-simplify]: Simplify (/ 1 1) into 1 12.424 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.424 * [taylor]: Taking taylor expansion of f in n 12.424 * [backup-simplify]: Simplify f into f 12.425 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.425 * [backup-simplify]: Simplify (+ 0 1) into 1 12.425 * [backup-simplify]: Simplify (+ 1 0) into 1 12.425 * [backup-simplify]: Simplify (/ 1 1) into 1 12.425 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.425 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.425 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.425 * [taylor]: Taking taylor expansion of f in f 12.425 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify 1 into 1 12.426 * [backup-simplify]: Simplify (/ 1 1) into 1 12.426 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.426 * [taylor]: Taking taylor expansion of n in f 12.426 * [backup-simplify]: Simplify n into n 12.426 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.426 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.426 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.426 * [taylor]: Taking taylor expansion of n in f 12.426 * [backup-simplify]: Simplify n into n 12.426 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.426 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.426 * [taylor]: Taking taylor expansion of f in f 12.426 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify 1 into 1 12.426 * [backup-simplify]: Simplify (/ 1 1) into 1 12.427 * [backup-simplify]: Simplify (+ 1 0) into 1 12.427 * [backup-simplify]: Simplify (- 1) into -1 12.427 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.427 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.427 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.427 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.427 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.428 * [taylor]: Taking taylor expansion of f in f 12.428 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify 1 into 1 12.428 * [backup-simplify]: Simplify (/ 1 1) into 1 12.428 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.428 * [taylor]: Taking taylor expansion of n in f 12.428 * [backup-simplify]: Simplify n into n 12.428 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.428 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.428 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.428 * [taylor]: Taking taylor expansion of n in f 12.428 * [backup-simplify]: Simplify n into n 12.428 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.428 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.428 * [taylor]: Taking taylor expansion of f in f 12.428 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify 1 into 1 12.428 * [backup-simplify]: Simplify (/ 1 1) into 1 12.429 * [backup-simplify]: Simplify (+ 1 0) into 1 12.429 * [backup-simplify]: Simplify (- 1) into -1 12.429 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.429 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.429 * [taylor]: Taking taylor expansion of -1 in n 12.429 * [backup-simplify]: Simplify -1 into -1 12.429 * [backup-simplify]: Simplify -1 into -1 12.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.430 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.431 * [backup-simplify]: Simplify (- 0) into 0 12.431 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.431 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 12.431 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.431 * [taylor]: Taking taylor expansion of 2 in n 12.431 * [backup-simplify]: Simplify 2 into 2 12.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.431 * [taylor]: Taking taylor expansion of n in n 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify 1 into 1 12.431 * [backup-simplify]: Simplify (/ 1 1) into 1 12.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.432 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.432 * [backup-simplify]: Simplify (- 0) into 0 12.432 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.433 * [backup-simplify]: Simplify (+ 0 0) into 0 12.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.434 * [backup-simplify]: Simplify (- 0) into 0 12.434 * [backup-simplify]: Simplify (+ 0 0) into 0 12.435 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.435 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.435 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.435 * [taylor]: Taking taylor expansion of 2 in n 12.435 * [backup-simplify]: Simplify 2 into 2 12.435 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.435 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.435 * [taylor]: Taking taylor expansion of n in n 12.435 * [backup-simplify]: Simplify 0 into 0 12.435 * [backup-simplify]: Simplify 1 into 1 12.435 * [backup-simplify]: Simplify (* 1 1) into 1 12.436 * [backup-simplify]: Simplify (/ 1 1) into 1 12.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.438 * [backup-simplify]: Simplify (- 0) into 0 12.438 * [backup-simplify]: Simplify 0 into 0 12.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.439 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.440 * [backup-simplify]: Simplify (- 0) into 0 12.440 * [backup-simplify]: Simplify 0 into 0 12.440 * [backup-simplify]: Simplify 0 into 0 12.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.442 * [backup-simplify]: Simplify (+ 0 0) into 0 12.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.443 * [backup-simplify]: Simplify (- 0) into 0 12.443 * [backup-simplify]: Simplify (+ 0 0) into 0 12.445 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.445 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.445 * [taylor]: Taking taylor expansion of 2 in n 12.445 * [backup-simplify]: Simplify 2 into 2 12.446 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.446 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.446 * [taylor]: Taking taylor expansion of n in n 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 1 into 1 12.446 * [backup-simplify]: Simplify (* 1 1) into 1 12.446 * [backup-simplify]: Simplify (* 1 1) into 1 12.447 * [backup-simplify]: Simplify (/ 1 1) into 1 12.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.457 * [backup-simplify]: Simplify (- 0) into 0 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [backup-simplify]: Simplify -1 into -1 12.457 * * * [progress]: simplifying candidates 12.477 * [simplify]: Simplifying: (expm1 (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (log1p (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (+ 1 1) (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (+ 1 1) (+ (- (log (- (+ f n))) (log (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n)))) (+ (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n)))) (log (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (exp (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))) (* (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f 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(+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (- (/ (+ n f) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (- (+ n f)) (sqrt (- f n))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ n f) (- (* f (* f f)) (* n (* n n))))) (/ (- (+ n f)) (* (+ n f) (- f n))) (* (fma n (- n f) (* f f)) (- f n)) (* (- f n) (- f n)) 1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 13.683 * * * [progress]: adding candidates to table 16.322 * [progress]: [Phase 3 of 3] Extracting. 16.323 * * [regime]: Finding splitpoints for: (# # #) 16.324 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 16.324 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 16.356 * * * * [regimes]: Trying to branch on n from (# # #) 16.389 * * * * [regimes]: Trying to branch on f from (# # #) 16.438 * * * [regime]: Found split indices: #