0.490 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.062 * [progress]: [Phase 2 of 3] Improving. 0.065 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.066 * [simplify]: Sending expressions to egg_math: (/ (- (+ h1 h0)) (- h1 h0)) 0.071 * * [progress]: iteration 1 / 4 0.071 * * * [progress]: picking best candidate 0.073 * * * * [pick]: Picked # 0.073 * * * [progress]: localizing error 0.083 * * * [progress]: generating rewritten candidates 0.083 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.158 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.163 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.163 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.164 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.164 * [taylor]: Taking taylor expansion of -1 in n 0.164 * [backup-simplify]: Simplify -1 into -1 0.164 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.164 * [taylor]: Taking taylor expansion of (+ n f) in n 0.164 * [taylor]: Taking taylor expansion of n in n 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of f in n 0.164 * [backup-simplify]: Simplify f into f 0.164 * [taylor]: Taking taylor expansion of (- f n) in n 0.164 * [taylor]: Taking taylor expansion of f in n 0.164 * [backup-simplify]: Simplify f into f 0.164 * [taylor]: Taking taylor expansion of n in n 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ 0 f) into f 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ f 0) into f 0.166 * [backup-simplify]: Simplify (/ f f) into 1 0.166 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.166 * [taylor]: Taking taylor expansion of -1 in f 0.166 * [backup-simplify]: Simplify -1 into -1 0.166 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.166 * [taylor]: Taking taylor expansion of (+ n f) in f 0.166 * [taylor]: Taking taylor expansion of n in f 0.166 * [backup-simplify]: Simplify n into n 0.166 * [taylor]: Taking taylor expansion of f in f 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of (- f n) in f 0.166 * [taylor]: Taking taylor expansion of f in f 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of n in f 0.166 * [backup-simplify]: Simplify n into n 0.166 * [backup-simplify]: Simplify (+ n 0) into n 0.166 * [backup-simplify]: Simplify (- n) into (- n) 0.166 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.166 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.166 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.166 * [taylor]: Taking taylor expansion of -1 in f 0.166 * [backup-simplify]: Simplify -1 into -1 0.166 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.166 * [taylor]: Taking taylor expansion of (+ n f) in f 0.166 * [taylor]: Taking taylor expansion of n in f 0.166 * [backup-simplify]: Simplify n into n 0.166 * [taylor]: Taking taylor expansion of f in f 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of (- f n) in f 0.166 * [taylor]: Taking taylor expansion of f in f 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of n in f 0.166 * [backup-simplify]: Simplify n into n 0.166 * [backup-simplify]: Simplify (+ n 0) into n 0.166 * [backup-simplify]: Simplify (- n) into (- n) 0.166 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.166 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.167 * [backup-simplify]: Simplify (* -1 -1) into 1 0.167 * [taylor]: Taking taylor expansion of 1 in n 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ 0 1) into 1 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.169 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.169 * [taylor]: Taking taylor expansion of 2 in n 0.169 * [backup-simplify]: Simplify 2 into 2 0.169 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.169 * [taylor]: Taking taylor expansion of n in n 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.173 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.173 * [taylor]: Taking taylor expansion of 2 in n 0.173 * [backup-simplify]: Simplify 2 into 2 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.173 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.173 * [taylor]: Taking taylor expansion of n in n 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [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)))) 0.179 * [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))) 0.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.179 * [taylor]: Taking taylor expansion of 2 in n 0.179 * [backup-simplify]: Simplify 2 into 2 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.179 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.179 * [taylor]: Taking taylor expansion of n in n 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.186 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.186 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.186 * [taylor]: Taking taylor expansion of -1 in n 0.186 * [backup-simplify]: Simplify -1 into -1 0.186 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.186 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.186 * [taylor]: Taking taylor expansion of f in n 0.186 * [backup-simplify]: Simplify f into f 0.186 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.186 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.186 * [taylor]: Taking taylor expansion of n in n 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.186 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.186 * [taylor]: Taking taylor expansion of f in n 0.186 * [backup-simplify]: Simplify f into f 0.186 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.186 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.186 * [taylor]: Taking taylor expansion of n in n 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (+ 0 1) into 1 0.187 * [backup-simplify]: Simplify (- 1) into -1 0.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.188 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.188 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 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 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.188 * [taylor]: Taking taylor expansion of (/ 1 f) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.188 * [taylor]: Taking taylor expansion of n in f 0.188 * [backup-simplify]: Simplify n into n 0.188 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.188 * [taylor]: Taking taylor expansion of (/ 1 f) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.188 * [taylor]: Taking taylor expansion of n in f 0.188 * [backup-simplify]: Simplify n into n 0.189 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.189 * [taylor]: Taking taylor expansion of -1 in f 0.189 * [backup-simplify]: Simplify -1 into -1 0.189 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.189 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.189 * [taylor]: Taking taylor expansion of f in f 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.190 * [taylor]: Taking taylor expansion of n in f 0.190 * [backup-simplify]: Simplify n into n 0.190 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.190 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.190 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.190 * [taylor]: Taking taylor expansion of f in f 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.190 * [taylor]: Taking taylor expansion of n in f 0.190 * [backup-simplify]: Simplify n into n 0.190 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [backup-simplify]: Simplify (* -1 1) into -1 0.191 * [taylor]: Taking taylor expansion of -1 in n 0.191 * [backup-simplify]: Simplify -1 into -1 0.191 * [backup-simplify]: Simplify -1 into -1 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.192 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.192 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.193 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.193 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.193 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.193 * [taylor]: Taking taylor expansion of 2 in n 0.193 * [backup-simplify]: Simplify 2 into 2 0.193 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.193 * [taylor]: Taking taylor expansion of n in n 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.197 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.197 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.197 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.197 * [taylor]: Taking taylor expansion of 2 in n 0.197 * [backup-simplify]: Simplify 2 into 2 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.197 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.197 * [taylor]: Taking taylor expansion of n in n 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [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))) 0.213 * [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)))) 0.213 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.213 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.213 * [taylor]: Taking taylor expansion of 2 in n 0.213 * [backup-simplify]: Simplify 2 into 2 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.213 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.213 * [taylor]: Taking taylor expansion of n in n 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify -1 into -1 0.220 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.220 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.220 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.220 * [taylor]: Taking taylor expansion of f in n 0.220 * [backup-simplify]: Simplify f into f 0.220 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.220 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.220 * [taylor]: Taking taylor expansion of n in n 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.221 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.221 * [taylor]: Taking taylor expansion of n in n 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.221 * [taylor]: Taking taylor expansion of f in n 0.221 * [backup-simplify]: Simplify f into f 0.221 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.221 * [backup-simplify]: Simplify (+ 0 1) into 1 0.221 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.222 * [taylor]: Taking taylor expansion of f in f 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.222 * [taylor]: Taking taylor expansion of n in f 0.222 * [backup-simplify]: Simplify n into n 0.222 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.222 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.222 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.222 * [taylor]: Taking taylor expansion of n in f 0.222 * [backup-simplify]: Simplify n into n 0.222 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.222 * [taylor]: Taking taylor expansion of f in f 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify (+ 1 0) into 1 0.223 * [backup-simplify]: Simplify (- 1) into -1 0.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.224 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.224 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.224 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.224 * [taylor]: Taking taylor expansion of f in f 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.224 * [taylor]: Taking taylor expansion of n in f 0.224 * [backup-simplify]: Simplify n into n 0.224 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.224 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.224 * [taylor]: Taking taylor expansion of n in f 0.224 * [backup-simplify]: Simplify n into n 0.224 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.224 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.224 * [taylor]: Taking taylor expansion of f in f 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (- 1) into -1 0.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.226 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.226 * [taylor]: Taking taylor expansion of -1 in n 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.227 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.227 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.227 * [taylor]: Taking taylor expansion of 2 in n 0.227 * [backup-simplify]: Simplify 2 into 2 0.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.227 * [taylor]: Taking taylor expansion of n in n 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.231 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.231 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.231 * [taylor]: Taking taylor expansion of 2 in n 0.231 * [backup-simplify]: Simplify 2 into 2 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.231 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.231 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [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)))) 0.239 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.239 * [taylor]: Taking taylor expansion of 2 in n 0.239 * [backup-simplify]: Simplify 2 into 2 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.239 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.239 * [taylor]: Taking taylor expansion of n in n 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify -1 into -1 0.245 * * * [progress]: simplifying candidates 0.247 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.247 * [simplify]: Sending expressions to egg_math: (- (log (- (+ h1 h0))) (log (- h1 h0))) (log (/ (- (+ h1 h0)) (- h1 h0))) (exp (/ (- (+ h1 h0)) (- h1 h0))) (/ (* (* (- (+ h1 h0)) (- (+ h1 h0))) (- (+ h1 h0))) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (* (* (/ (- (+ h1 h0)) (- h1 h0)) (/ (- (+ h1 h0)) (- h1 h0))) (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (- (- (+ h1 h0))) (- (- h1 h0)) (/ 0 (- h1 h0)) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ -1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ -1 (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ -1 (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (cbrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (- (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (- (cbrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (sqrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) (- (+ h1 h0))) (/ (+ h1 h0) (- h1 h0)) (/ (- (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (+ h1 h0)) 1) (/ (- (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) 1) (/ (- h1 h0) (cbrt (- (+ h1 h0)))) (/ (- h1 h0) (sqrt (- (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (cbrt (+ h1 h0))) (/ (- h1 h0) (sqrt (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (- (cbrt (+ h1 h0)))) (/ (- h1 h0) (- (sqrt (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- (+ h1 h0)) (- (pow h1 3) (pow h0 3))) (/ (- (+ h1 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (- h1 h0)) 1 -1 -1