1.148 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.103 * * * [progress]: [2/2] Setting up program. 0.112 * [progress]: [Phase 2 of 3] Improving. 0.115 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.116 * * [simplify]: iteration 0: 6 enodes 0.171 * * [simplify]: iteration 1: 13 enodes 0.174 * * [simplify]: iteration 2: 16 enodes 0.179 * * [simplify]: iteration 3: 20 enodes 0.184 * * [simplify]: iteration 4: 26 enodes 0.190 * * [simplify]: iteration 5: 30 enodes 0.197 * * [simplify]: iteration 6: 32 enodes 0.204 * * [simplify]: iteration complete: 32 enodes 0.204 * * [simplify]: Extracting #0: cost 1 inf + 0 0.204 * * [simplify]: Extracting #1: cost 9 inf + 0 0.204 * * [simplify]: Extracting #2: cost 14 inf + 0 0.205 * * [simplify]: Extracting #3: cost 11 inf + 43 0.205 * * [simplify]: Extracting #4: cost 2 inf + 860 0.206 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.206 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.209 * * [progress]: iteration 1 / 4 0.209 * * * [progress]: picking best candidate 0.216 * * * * [pick]: Picked # 0.216 * * * [progress]: localizing error 0.237 * * * [progress]: generating rewritten candidates 0.237 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.294 * * * [progress]: generating series expansions 0.294 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.308 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.308 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.309 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.309 * [taylor]: Taking taylor expansion of -1 in n 0.309 * [backup-simplify]: Simplify -1 into -1 0.309 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.309 * [taylor]: Taking taylor expansion of (+ n f) in n 0.309 * [taylor]: Taking taylor expansion of n in n 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of f in n 0.309 * [backup-simplify]: Simplify f into f 0.309 * [taylor]: Taking taylor expansion of (- f n) in n 0.309 * [taylor]: Taking taylor expansion of f in n 0.309 * [backup-simplify]: Simplify f into f 0.309 * [taylor]: Taking taylor expansion of n in n 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (+ 0 f) into f 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ f 0) into f 0.310 * [backup-simplify]: Simplify (/ f f) into 1 0.310 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.311 * [taylor]: Taking taylor expansion of -1 in f 0.311 * [backup-simplify]: Simplify -1 into -1 0.311 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.311 * [taylor]: Taking taylor expansion of (+ n f) in f 0.311 * [taylor]: Taking taylor expansion of n in f 0.311 * [backup-simplify]: Simplify n into n 0.311 * [taylor]: Taking taylor expansion of f in f 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of (- f n) in f 0.311 * [taylor]: Taking taylor expansion of f in f 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of n in f 0.311 * [backup-simplify]: Simplify n into n 0.311 * [backup-simplify]: Simplify (+ n 0) into n 0.311 * [backup-simplify]: Simplify (- n) into (- n) 0.311 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.311 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.311 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.311 * [taylor]: Taking taylor expansion of -1 in f 0.311 * [backup-simplify]: Simplify -1 into -1 0.311 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.311 * [taylor]: Taking taylor expansion of (+ n f) in f 0.311 * [taylor]: Taking taylor expansion of n in f 0.311 * [backup-simplify]: Simplify n into n 0.311 * [taylor]: Taking taylor expansion of f in f 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of (- f n) in f 0.311 * [taylor]: Taking taylor expansion of f in f 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of n in f 0.311 * [backup-simplify]: Simplify n into n 0.311 * [backup-simplify]: Simplify (+ n 0) into n 0.311 * [backup-simplify]: Simplify (- n) into (- n) 0.311 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.311 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.312 * [backup-simplify]: Simplify (* -1 -1) into 1 0.312 * [taylor]: Taking taylor expansion of 1 in n 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (+ 0 1) into 1 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.314 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.314 * [taylor]: Taking taylor expansion of 2 in n 0.314 * [backup-simplify]: Simplify 2 into 2 0.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.314 * [taylor]: Taking taylor expansion of n in n 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.317 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.317 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.317 * [taylor]: Taking taylor expansion of 2 in n 0.317 * [backup-simplify]: Simplify 2 into 2 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.317 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [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)))) 0.324 * [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))) 0.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.324 * [taylor]: Taking taylor expansion of 2 in n 0.324 * [backup-simplify]: Simplify 2 into 2 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.324 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.324 * [taylor]: Taking taylor expansion of n in n 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.331 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.331 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.331 * [taylor]: Taking taylor expansion of -1 in n 0.331 * [backup-simplify]: Simplify -1 into -1 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.331 * [taylor]: Taking taylor expansion of f in n 0.331 * [backup-simplify]: Simplify f into f 0.331 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.331 * [taylor]: Taking taylor expansion of f in n 0.331 * [backup-simplify]: Simplify f into f 0.331 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (+ 0 1) into 1 0.332 * [backup-simplify]: Simplify (- 1) into -1 0.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.333 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.333 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.333 * [taylor]: Taking taylor expansion of -1 in f 0.333 * [backup-simplify]: Simplify -1 into -1 0.333 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.333 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.333 * [taylor]: Taking taylor expansion of f in f 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.333 * [taylor]: Taking taylor expansion of n in f 0.333 * [backup-simplify]: Simplify n into n 0.333 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.333 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.333 * [taylor]: Taking taylor expansion of f in f 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.333 * [taylor]: Taking taylor expansion of n in f 0.334 * [backup-simplify]: Simplify n into n 0.334 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.334 * [backup-simplify]: Simplify (+ 1 0) into 1 0.334 * [backup-simplify]: Simplify (+ 1 0) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.334 * [taylor]: Taking taylor expansion of -1 in f 0.334 * [backup-simplify]: Simplify -1 into -1 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.334 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.334 * [taylor]: Taking taylor expansion of f in f 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.335 * [taylor]: Taking taylor expansion of n in f 0.335 * [backup-simplify]: Simplify n into n 0.335 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.335 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.335 * [taylor]: Taking taylor expansion of f in f 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.335 * [taylor]: Taking taylor expansion of n in f 0.335 * [backup-simplify]: Simplify n into n 0.335 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.336 * [backup-simplify]: Simplify (+ 1 0) into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify (* -1 1) into -1 0.336 * [taylor]: Taking taylor expansion of -1 in n 0.336 * [backup-simplify]: Simplify -1 into -1 0.336 * [backup-simplify]: Simplify -1 into -1 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.337 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.337 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.338 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.338 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.338 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.338 * [taylor]: Taking taylor expansion of 2 in n 0.338 * [backup-simplify]: Simplify 2 into 2 0.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.342 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.342 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.342 * [taylor]: Taking taylor expansion of 2 in n 0.342 * [backup-simplify]: Simplify 2 into 2 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.342 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [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))) 0.351 * [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)))) 0.351 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.351 * [taylor]: Taking taylor expansion of 2 in n 0.351 * [backup-simplify]: Simplify 2 into 2 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.351 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify -1 into -1 0.358 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.358 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.358 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.358 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.358 * [taylor]: Taking taylor expansion of f in n 0.358 * [backup-simplify]: Simplify f into f 0.358 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.358 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.358 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.358 * [taylor]: Taking taylor expansion of f in n 0.358 * [backup-simplify]: Simplify f into f 0.358 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.359 * [backup-simplify]: Simplify (+ 0 1) into 1 0.359 * [backup-simplify]: Simplify (+ 1 0) into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.359 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.359 * [taylor]: Taking taylor expansion of f in f 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.360 * [taylor]: Taking taylor expansion of n in f 0.360 * [backup-simplify]: Simplify n into n 0.360 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.360 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.360 * [taylor]: Taking taylor expansion of n in f 0.360 * [backup-simplify]: Simplify n into n 0.360 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.360 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.360 * [taylor]: Taking taylor expansion of f in f 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [backup-simplify]: Simplify (+ 1 0) into 1 0.360 * [backup-simplify]: Simplify (- 1) into -1 0.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.361 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.361 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.361 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.361 * [taylor]: Taking taylor expansion of f in f 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.361 * [taylor]: Taking taylor expansion of n in f 0.361 * [backup-simplify]: Simplify n into n 0.361 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.361 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.361 * [taylor]: Taking taylor expansion of n in f 0.361 * [backup-simplify]: Simplify n into n 0.361 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.361 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.362 * [taylor]: Taking taylor expansion of f in f 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [backup-simplify]: Simplify (+ 1 0) into 1 0.362 * [backup-simplify]: Simplify (- 1) into -1 0.363 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.363 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.363 * [taylor]: Taking taylor expansion of -1 in n 0.363 * [backup-simplify]: Simplify -1 into -1 0.363 * [backup-simplify]: Simplify -1 into -1 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.364 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.364 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.364 * [taylor]: Taking taylor expansion of 2 in n 0.364 * [backup-simplify]: Simplify 2 into 2 0.364 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.364 * [taylor]: Taking taylor expansion of n in n 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.369 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.369 * [taylor]: Taking taylor expansion of 2 in n 0.369 * [backup-simplify]: Simplify 2 into 2 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.369 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.369 * [taylor]: Taking taylor expansion of n in n 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.372 * [backup-simplify]: Simplify (- 0) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [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)))) 0.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.376 * [taylor]: Taking taylor expansion of 2 in n 0.377 * [backup-simplify]: Simplify 2 into 2 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.377 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.377 * [taylor]: Taking taylor expansion of n in n 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify -1 into -1 0.383 * * * [progress]: simplifying candidates 0.385 * [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 0.386 * * [simplify]: iteration 0: 135 enodes 0.419 * * [simplify]: iteration 1: 316 enodes 0.507 * * [simplify]: iteration 2: 1069 enodes 0.896 * * [simplify]: iteration complete: 5002 enodes 0.896 * * [simplify]: Extracting #0: cost 88 inf + 0 0.897 * * [simplify]: Extracting #1: cost 581 inf + 3 0.900 * * [simplify]: Extracting #2: cost 1358 inf + 379 0.918 * * [simplify]: Extracting #3: cost 1755 inf + 61281 0.960 * * [simplify]: Extracting #4: cost 632 inf + 287843 1.067 * * [simplify]: Extracting #5: cost 55 inf + 396780 1.154 * * [simplify]: Extracting #6: cost 4 inf + 408811 1.254 * * [simplify]: Extracting #7: cost 0 inf + 409823 1.371 * [simplify]: Simplified to: (expm1 (/ (- (+ n f)) (- f n))) (log1p (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (- (* (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (- (* (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ f n) (- (- f n)) 0 (/ (+ f n) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (sqrt (- f n))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (- (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (* (- (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (- (cbrt (+ f n))) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- f n)) (/ (* (- (cbrt (+ f n))) (cbrt (+ f n))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (* (- (cbrt (+ f n))) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (- (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (- (/ (cbrt (+ f n)) (cbrt (- f n)))) (* (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (sqrt (- f n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (* (/ (cbrt (+ f n)) (+ (sqrt n) (sqrt f))) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ f n) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ f n) (- f n)) (- (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n)))) (- (/ (+ f n) (sqrt (- f n)))) (- (+ n f)) (- (/ (+ f n) (+ (sqrt n) (sqrt f)))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ f n) (- (* f (* f f)) (* (* n n) n)))) (/ -1 (- f n)) (* (- f n) (fma f f (* n (- n f)))) (* (- f n) (- f n)) 1 -1 -1 1.378 * * * [progress]: adding candidates to table 1.805 * * [progress]: iteration 2 / 4 1.805 * * * [progress]: picking best candidate 1.821 * * * * [pick]: Picked # 1.821 * * * [progress]: localizing error 1.840 * * * [progress]: generating rewritten candidates 1.840 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.890 * * * [progress]: generating series expansions 1.890 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.890 * [backup-simplify]: Simplify (/ (- (+ n f)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.890 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (n f) around 0 1.890 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.890 * [taylor]: Taking taylor expansion of -1 in f 1.890 * [backup-simplify]: Simplify -1 into -1 1.890 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.890 * [taylor]: Taking taylor expansion of (+ n f) in f 1.890 * [taylor]: Taking taylor expansion of n in f 1.890 * [backup-simplify]: Simplify n into n 1.890 * [taylor]: Taking taylor expansion of f in f 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [taylor]: Taking taylor expansion of (- f n) in f 1.890 * [taylor]: Taking taylor expansion of f in f 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [taylor]: Taking taylor expansion of n in f 1.890 * [backup-simplify]: Simplify n into n 1.890 * [backup-simplify]: Simplify (+ n 0) into n 1.890 * [backup-simplify]: Simplify (- n) into (- n) 1.891 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.891 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.891 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.891 * [taylor]: Taking taylor expansion of -1 in n 1.891 * [backup-simplify]: Simplify -1 into -1 1.891 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.891 * [taylor]: Taking taylor expansion of (+ n f) in n 1.891 * [taylor]: Taking taylor expansion of n in n 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [taylor]: Taking taylor expansion of f in n 1.891 * [backup-simplify]: Simplify f into f 1.891 * [taylor]: Taking taylor expansion of (- f n) in n 1.891 * [taylor]: Taking taylor expansion of f in n 1.891 * [backup-simplify]: Simplify f into f 1.891 * [taylor]: Taking taylor expansion of n in n 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (+ 0 f) into f 1.891 * [backup-simplify]: Simplify (- 0) into 0 1.891 * [backup-simplify]: Simplify (+ f 0) into f 1.891 * [backup-simplify]: Simplify (/ f f) into 1 1.891 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.891 * [taylor]: Taking taylor expansion of -1 in n 1.891 * [backup-simplify]: Simplify -1 into -1 1.891 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.891 * [taylor]: Taking taylor expansion of (+ n f) in n 1.891 * [taylor]: Taking taylor expansion of n in n 1.891 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [taylor]: Taking taylor expansion of f in n 1.892 * [backup-simplify]: Simplify f into f 1.892 * [taylor]: Taking taylor expansion of (- f n) in n 1.892 * [taylor]: Taking taylor expansion of f in n 1.892 * [backup-simplify]: Simplify f into f 1.892 * [taylor]: Taking taylor expansion of n in n 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (+ 0 f) into f 1.892 * [backup-simplify]: Simplify (- 0) into 0 1.892 * [backup-simplify]: Simplify (+ f 0) into f 1.892 * [backup-simplify]: Simplify (/ f f) into 1 1.892 * [backup-simplify]: Simplify (* -1 1) into -1 1.892 * [taylor]: Taking taylor expansion of -1 in f 1.892 * [backup-simplify]: Simplify -1 into -1 1.892 * [backup-simplify]: Simplify -1 into -1 1.893 * [backup-simplify]: Simplify (+ 1 0) into 1 1.893 * [backup-simplify]: Simplify (- 1) into -1 1.893 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.893 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 1.894 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 1.894 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 1.894 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 1.894 * [taylor]: Taking taylor expansion of 2 in f 1.894 * [backup-simplify]: Simplify 2 into 2 1.894 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.894 * [taylor]: Taking taylor expansion of f in f 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (/ 1 1) into 1 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.895 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.895 * [backup-simplify]: Simplify (- 0) into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.896 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) 1.896 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1))) into (- (* 2 (/ 1 (pow f 2)))) 1.896 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f 1.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 1.896 * [taylor]: Taking taylor expansion of 2 in f 1.896 * [backup-simplify]: Simplify 2 into 2 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 1.896 * [taylor]: Taking taylor expansion of (pow f 2) in f 1.896 * [taylor]: Taking taylor expansion of f in f 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.897 * [backup-simplify]: Simplify (/ 1 1) into 1 1.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.900 * [backup-simplify]: Simplify (- 0) into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) 1.902 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 3)))) (+ (* 0 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1)))) into (- (* 2 (/ 1 (pow f 3)))) 1.903 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 1.903 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 1.903 * [taylor]: Taking taylor expansion of 2 in f 1.903 * [backup-simplify]: Simplify 2 into 2 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 1.903 * [taylor]: Taking taylor expansion of (pow f 3) in f 1.903 * [taylor]: Taking taylor expansion of f in f 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (* 1 1) into 1 1.903 * [backup-simplify]: Simplify (* 1 1) into 1 1.903 * [backup-simplify]: Simplify (/ 1 1) into 1 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify -1 into -1 1.911 * [backup-simplify]: Simplify (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.911 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (n f) around 0 1.911 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.911 * [taylor]: Taking taylor expansion of -1 in f 1.911 * [backup-simplify]: Simplify -1 into -1 1.911 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.911 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.911 * [taylor]: Taking taylor expansion of f in f 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.912 * [taylor]: Taking taylor expansion of n in f 1.912 * [backup-simplify]: Simplify n into n 1.912 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.912 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.912 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.912 * [taylor]: Taking taylor expansion of f in f 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.912 * [taylor]: Taking taylor expansion of n in f 1.912 * [backup-simplify]: Simplify n into n 1.913 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.913 * [backup-simplify]: Simplify (+ 1 0) into 1 1.913 * [backup-simplify]: Simplify (+ 1 0) into 1 1.914 * [backup-simplify]: Simplify (/ 1 1) into 1 1.914 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.914 * [taylor]: Taking taylor expansion of -1 in n 1.914 * [backup-simplify]: Simplify -1 into -1 1.914 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.914 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.914 * [taylor]: Taking taylor expansion of f in n 1.914 * [backup-simplify]: Simplify f into f 1.914 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.914 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.914 * [taylor]: Taking taylor expansion of n in n 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (/ 1 1) into 1 1.915 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.915 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.915 * [taylor]: Taking taylor expansion of f in n 1.915 * [backup-simplify]: Simplify f into f 1.915 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.915 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.915 * [taylor]: Taking taylor expansion of n in n 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (/ 1 1) into 1 1.916 * [backup-simplify]: Simplify (+ 0 1) into 1 1.916 * [backup-simplify]: Simplify (- 1) into -1 1.916 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.917 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.917 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.917 * [taylor]: Taking taylor expansion of -1 in n 1.917 * [backup-simplify]: Simplify -1 into -1 1.917 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.917 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.917 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.917 * [taylor]: Taking taylor expansion of f in n 1.917 * [backup-simplify]: Simplify f into f 1.918 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.918 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.918 * [taylor]: Taking taylor expansion of n in n 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.918 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.918 * [taylor]: Taking taylor expansion of f in n 1.918 * [backup-simplify]: Simplify f into f 1.918 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.918 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.918 * [taylor]: Taking taylor expansion of n in n 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (/ 1 1) into 1 1.919 * [backup-simplify]: Simplify (+ 0 1) into 1 1.920 * [backup-simplify]: Simplify (- 1) into -1 1.920 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.920 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.921 * [backup-simplify]: Simplify (* -1 -1) into 1 1.921 * [taylor]: Taking taylor expansion of 1 in f 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (- 0) into 0 1.923 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 1.923 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 1.924 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 1.924 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 1.924 * [taylor]: Taking taylor expansion of 2 in f 1.924 * [backup-simplify]: Simplify 2 into 2 1.924 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.924 * [taylor]: Taking taylor expansion of f in f 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (/ 1 1) into 1 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 1.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (- 0) into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) 1.931 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1))) into (* 2 (/ 1 (pow f 2))) 1.931 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 1.931 * [taylor]: Taking taylor expansion of 2 in f 1.931 * [backup-simplify]: Simplify 2 into 2 1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 1.931 * [taylor]: Taking taylor expansion of (pow f 2) in f 1.931 * [taylor]: Taking taylor expansion of f in f 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (* 1 1) into 1 1.932 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (- 0) into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.944 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) 1.945 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 3))))) (+ (* 0 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1)))) into (* 2 (/ 1 (pow f 3))) 1.945 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 1.945 * [taylor]: Taking taylor expansion of 2 in f 1.945 * [backup-simplify]: Simplify 2 into 2 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 1.945 * [taylor]: Taking taylor expansion of (pow f 3) in f 1.945 * [taylor]: Taking taylor expansion of f in f 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (* 1 1) into 1 1.946 * [backup-simplify]: Simplify (* 1 1) into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.959 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (n f) around 0 1.959 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.959 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.959 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.959 * [taylor]: Taking taylor expansion of f in f 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.960 * [taylor]: Taking taylor expansion of n in f 1.960 * [backup-simplify]: Simplify n into n 1.960 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.960 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.960 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.960 * [taylor]: Taking taylor expansion of n in f 1.960 * [backup-simplify]: Simplify n into n 1.960 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.960 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.960 * [taylor]: Taking taylor expansion of f in f 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [backup-simplify]: Simplify (+ 1 0) into 1 1.961 * [backup-simplify]: Simplify (- 1) into -1 1.962 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.962 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.962 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.962 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.962 * [taylor]: Taking taylor expansion of f in n 1.962 * [backup-simplify]: Simplify f into f 1.962 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.962 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.962 * [taylor]: Taking taylor expansion of n in n 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.963 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.963 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.963 * [taylor]: Taking taylor expansion of n in n 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.963 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.963 * [taylor]: Taking taylor expansion of f in n 1.963 * [backup-simplify]: Simplify f into f 1.964 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.964 * [backup-simplify]: Simplify (+ 0 1) into 1 1.964 * [backup-simplify]: Simplify (+ 1 0) into 1 1.965 * [backup-simplify]: Simplify (/ 1 1) into 1 1.965 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.965 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.965 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.965 * [taylor]: Taking taylor expansion of f in n 1.965 * [backup-simplify]: Simplify f into f 1.965 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.965 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.965 * [taylor]: Taking taylor expansion of n in n 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (/ 1 1) into 1 1.966 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.966 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.966 * [taylor]: Taking taylor expansion of n in n 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (/ 1 1) into 1 1.966 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.966 * [taylor]: Taking taylor expansion of f in n 1.966 * [backup-simplify]: Simplify f into f 1.966 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.967 * [backup-simplify]: Simplify (+ 0 1) into 1 1.968 * [backup-simplify]: Simplify (+ 1 0) into 1 1.968 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [taylor]: Taking taylor expansion of 1 in f 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 1.970 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 1.970 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 1.971 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 1.971 * [taylor]: Taking taylor expansion of 2 in f 1.971 * [backup-simplify]: Simplify 2 into 2 1.971 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.971 * [taylor]: Taking taylor expansion of f in f 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 1.976 * [backup-simplify]: Simplify (- 0) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 2))) 1.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 1.978 * [taylor]: Taking taylor expansion of 2 in f 1.978 * [backup-simplify]: Simplify 2 into 2 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 1.978 * [taylor]: Taking taylor expansion of (pow f 2) in f 1.978 * [taylor]: Taking taylor expansion of f in f 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 1.991 * [backup-simplify]: Simplify (- 0) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (* 2 (/ 1 (pow f 2))) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 3))) 1.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 1.993 * [taylor]: Taking taylor expansion of 2 in f 1.993 * [backup-simplify]: Simplify 2 into 2 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 1.993 * [taylor]: Taking taylor expansion of (pow f 3) in f 1.993 * [taylor]: Taking taylor expansion of f in f 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (* 1 1) into 1 1.994 * [backup-simplify]: Simplify (* 1 1) into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * * * [progress]: simplifying candidates 2.000 * [simplify]: Simplifying: (expm1 (/ (- (+ n f)) (- f n))) (log1p (/ (- (+ n f)) (- f n))) (- (log (- (+ n f))) (log (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (/ (* (* (- (+ n f)) (- (+ n f))) (- (+ n f))) (* (* (- f n) (- f n)) (- 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 (- f n)) (/ (+ n f) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (* (cbrt (- f n)) (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)))) 1) (/ (cbrt (- (+ n f))) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) 1) (/ (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))) 1) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ n f))) 1) (/ (sqrt (- (+ n f))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ -1 1) (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ n f) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (cbrt (- f n)) (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)))) 1) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) 1) (/ (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))) 1) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) 1) (/ (sqrt (+ n f)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ (- 1) 1) (/ (+ n f) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ n f) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) (/ (- 1) 1) (/ (+ n f) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ n f) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ n f) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (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))) 1) (/ (- (cbrt (+ n f))) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1) (/ (- (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)) 1) (/ (- (sqrt (+ n f))) (- f n)) (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) 1) (/ (- (sqrt (+ n f))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (sqrt (- f n))) (/ (- (+ n f)) 1) (/ (- (+ n f)) (+ (sqrt f) (sqrt n))) (/ (- (+ n f)) 1) (/ (- 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)) (- (pow f 3) (pow n 3))) (/ (- (+ n f)) (- (* f f) (* n n))) (* (- f n) (+ (* n n) (- (* f f) (* n f)))) (* (- f n) (- n f)) -1 1 1 2.002 * * [simplify]: iteration 0: 137 enodes 2.025 * * [simplify]: iteration 1: 319 enodes 2.093 * * [simplify]: iteration 2: 1081 enodes 2.525 * * [simplify]: iteration complete: 5000 enodes 2.525 * * [simplify]: Extracting #0: cost 88 inf + 0 2.526 * * [simplify]: Extracting #1: cost 580 inf + 3 2.529 * * [simplify]: Extracting #2: cost 1375 inf + 88 2.536 * * [simplify]: Extracting #3: cost 1796 inf + 25447 2.598 * * [simplify]: Extracting #4: cost 666 inf + 273236 2.719 * * [simplify]: Extracting #5: cost 45 inf + 391950 2.818 * * [simplify]: Extracting #6: cost 3 inf + 401197 2.914 * * [simplify]: Extracting #7: cost 0 inf + 402065 3.012 * [simplify]: Simplified to: (expm1 (/ (- (+ n f)) (- f n))) (log1p (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (/ (- (+ n f)) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (/ (- (+ n f)) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ n f) (- n f) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (* (/ (cbrt (- (+ n f))) (sqrt (- f n))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (/ (sqrt (- (+ n f))) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ 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(+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ n f)) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (sqrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (cbrt (+ n f)) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ n f)))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (- (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n)))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ n f) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (- (/ (+ n f) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (- (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (sqrt (- f n)))) (- (+ n f)) (- (/ (+ n f) (+ (sqrt n) (sqrt f)))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (- (/ (+ n f) (- (* (* f f) f) (* (* n n) n)))) (/ -1 (- f n)) (* (- f n) (fma n n (* f (- f n)))) (* (- f n) (- n f)) -1 1 1 3.017 * * * [progress]: adding candidates to table 3.393 * * [progress]: iteration 3 / 4 3.393 * * * [progress]: picking best candidate 3.403 * * * * [pick]: Picked # 3.403 * * * [progress]: localizing error 3.435 * * * [progress]: generating rewritten candidates 3.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.485 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 3.534 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.582 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.797 * * * [progress]: generating series expansions 3.797 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.797 * [backup-simplify]: Simplify (/ (- (+ n f)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.797 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (n f) around 0 3.797 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.797 * [taylor]: Taking taylor expansion of -1 in f 3.797 * [backup-simplify]: Simplify -1 into -1 3.797 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.797 * [taylor]: Taking taylor expansion of (+ n f) in f 3.797 * [taylor]: Taking taylor expansion of n in f 3.797 * [backup-simplify]: Simplify n into n 3.797 * [taylor]: Taking taylor expansion of f in f 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 1 into 1 3.797 * [taylor]: Taking taylor expansion of (- f n) in f 3.797 * [taylor]: Taking taylor expansion of f in f 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 1 into 1 3.798 * [taylor]: Taking taylor expansion of n in f 3.798 * [backup-simplify]: Simplify n into n 3.798 * [backup-simplify]: Simplify (+ n 0) into n 3.798 * [backup-simplify]: Simplify (- n) into (- n) 3.798 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.798 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.798 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.798 * [taylor]: Taking taylor expansion of -1 in n 3.798 * [backup-simplify]: Simplify -1 into -1 3.798 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.798 * [taylor]: Taking taylor expansion of (+ n f) in n 3.798 * [taylor]: Taking taylor expansion of n in n 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 1 into 1 3.798 * [taylor]: Taking taylor expansion of f in n 3.798 * [backup-simplify]: Simplify f into f 3.798 * [taylor]: Taking taylor expansion of (- f n) in n 3.798 * [taylor]: Taking taylor expansion of f in n 3.798 * [backup-simplify]: Simplify f into f 3.798 * [taylor]: Taking taylor expansion of n in n 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 1 into 1 3.798 * [backup-simplify]: Simplify (+ 0 f) into f 3.799 * [backup-simplify]: Simplify (- 0) into 0 3.799 * [backup-simplify]: Simplify (+ f 0) into f 3.799 * [backup-simplify]: Simplify (/ f f) into 1 3.799 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.799 * [taylor]: Taking taylor expansion of -1 in n 3.799 * [backup-simplify]: Simplify -1 into -1 3.799 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.799 * [taylor]: Taking taylor expansion of (+ n f) in n 3.799 * [taylor]: Taking taylor expansion of n in n 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 1 into 1 3.799 * [taylor]: Taking taylor expansion of f in n 3.799 * [backup-simplify]: Simplify f into f 3.799 * [taylor]: Taking taylor expansion of (- f n) in n 3.799 * [taylor]: Taking taylor expansion of f in n 3.799 * [backup-simplify]: Simplify f into f 3.799 * [taylor]: Taking taylor expansion of n in n 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 1 into 1 3.800 * [backup-simplify]: Simplify (+ 0 f) into f 3.800 * [backup-simplify]: Simplify (- 0) into 0 3.800 * [backup-simplify]: Simplify (+ f 0) into f 3.800 * [backup-simplify]: Simplify (/ f f) into 1 3.800 * [backup-simplify]: Simplify (* -1 1) into -1 3.800 * [taylor]: Taking taylor expansion of -1 in f 3.801 * [backup-simplify]: Simplify -1 into -1 3.801 * [backup-simplify]: Simplify -1 into -1 3.801 * [backup-simplify]: Simplify (+ 1 0) into 1 3.801 * [backup-simplify]: Simplify (- 1) into -1 3.802 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.802 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 3.803 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 3.803 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 3.803 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 3.803 * [taylor]: Taking taylor expansion of 2 in f 3.803 * [backup-simplify]: Simplify 2 into 2 3.803 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.803 * [taylor]: Taking taylor expansion of f in f 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.803 * [backup-simplify]: Simplify (/ 1 1) into 1 3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.805 * [backup-simplify]: Simplify (- 0) into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (+ 0 0) into 0 3.806 * [backup-simplify]: Simplify (- 0) into 0 3.806 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) 3.807 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1))) into (- (* 2 (/ 1 (pow f 2)))) 3.807 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f 3.807 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 3.808 * [taylor]: Taking taylor expansion of 2 in f 3.808 * [backup-simplify]: Simplify 2 into 2 3.808 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.808 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.808 * [taylor]: Taking taylor expansion of f in f 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (* 1 1) into 1 3.808 * [backup-simplify]: Simplify (/ 1 1) into 1 3.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.812 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.813 * [backup-simplify]: Simplify (- 0) into 0 3.813 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.815 * [backup-simplify]: Simplify (- 0) into 0 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify (+ 0 0) into 0 3.816 * [backup-simplify]: Simplify (- 0) into 0 3.816 * [backup-simplify]: Simplify (+ 0 0) into 0 3.817 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) 3.818 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 3)))) (+ (* 0 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1)))) into (- (* 2 (/ 1 (pow f 3)))) 3.818 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 3.818 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 3.818 * [taylor]: Taking taylor expansion of 2 in f 3.818 * [backup-simplify]: Simplify 2 into 2 3.818 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 3.818 * [taylor]: Taking taylor expansion of (pow f 3) in f 3.818 * [taylor]: Taking taylor expansion of f in f 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.819 * [backup-simplify]: Simplify (* 1 1) into 1 3.819 * [backup-simplify]: Simplify (* 1 1) into 1 3.819 * [backup-simplify]: Simplify (/ 1 1) into 1 3.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.828 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.828 * [backup-simplify]: Simplify (- 0) into 0 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify -1 into -1 3.829 * [backup-simplify]: Simplify (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.829 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (n f) around 0 3.829 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.829 * [taylor]: Taking taylor expansion of -1 in f 3.829 * [backup-simplify]: Simplify -1 into -1 3.829 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.829 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.829 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.829 * [taylor]: Taking taylor expansion of f in f 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify 1 into 1 3.829 * [backup-simplify]: Simplify (/ 1 1) into 1 3.830 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.830 * [taylor]: Taking taylor expansion of n in f 3.830 * [backup-simplify]: Simplify n into n 3.830 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.830 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.830 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.830 * [taylor]: Taking taylor expansion of f in f 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 1 into 1 3.830 * [backup-simplify]: Simplify (/ 1 1) into 1 3.830 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.830 * [taylor]: Taking taylor expansion of n in f 3.830 * [backup-simplify]: Simplify n into n 3.830 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.831 * [backup-simplify]: Simplify (+ 1 0) into 1 3.831 * [backup-simplify]: Simplify (+ 1 0) into 1 3.831 * [backup-simplify]: Simplify (/ 1 1) into 1 3.831 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.832 * [taylor]: Taking taylor expansion of -1 in n 3.832 * [backup-simplify]: Simplify -1 into -1 3.832 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.832 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.832 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.832 * [taylor]: Taking taylor expansion of f in n 3.832 * [backup-simplify]: Simplify f into f 3.832 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.832 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.832 * [taylor]: Taking taylor expansion of n in n 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [backup-simplify]: Simplify (/ 1 1) into 1 3.832 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.832 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.832 * [taylor]: Taking taylor expansion of f in n 3.832 * [backup-simplify]: Simplify f into f 3.832 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.832 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.832 * [taylor]: Taking taylor expansion of n in n 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (/ 1 1) into 1 3.833 * [backup-simplify]: Simplify (+ 0 1) into 1 3.834 * [backup-simplify]: Simplify (- 1) into -1 3.834 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.834 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.834 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.834 * [taylor]: Taking taylor expansion of -1 in n 3.834 * [backup-simplify]: Simplify -1 into -1 3.834 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.834 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.835 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.835 * [taylor]: Taking taylor expansion of f in n 3.835 * [backup-simplify]: Simplify f into f 3.835 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.835 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.835 * [taylor]: Taking taylor expansion of n in n 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify (/ 1 1) into 1 3.835 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.835 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.835 * [taylor]: Taking taylor expansion of f in n 3.835 * [backup-simplify]: Simplify f into f 3.835 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.835 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.835 * [taylor]: Taking taylor expansion of n in n 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.836 * [backup-simplify]: Simplify (/ 1 1) into 1 3.836 * [backup-simplify]: Simplify (+ 0 1) into 1 3.836 * [backup-simplify]: Simplify (- 1) into -1 3.837 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.837 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.838 * [backup-simplify]: Simplify (* -1 -1) into 1 3.838 * [taylor]: Taking taylor expansion of 1 in f 3.838 * [backup-simplify]: Simplify 1 into 1 3.838 * [backup-simplify]: Simplify 1 into 1 3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.839 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.840 * [backup-simplify]: Simplify (- 0) into 0 3.840 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.840 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 3.841 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 3.841 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 3.841 * [taylor]: Taking taylor expansion of 2 in f 3.841 * [backup-simplify]: Simplify 2 into 2 3.841 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.841 * [taylor]: Taking taylor expansion of f in f 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (/ 1 1) into 1 3.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.842 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ 0 0) into 0 3.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 3.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.845 * [backup-simplify]: Simplify (- 0) into 0 3.846 * [backup-simplify]: Simplify (+ 0 0) into 0 3.847 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) 3.848 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1))) into (* 2 (/ 1 (pow f 2))) 3.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 3.848 * [taylor]: Taking taylor expansion of 2 in f 3.848 * [backup-simplify]: Simplify 2 into 2 3.848 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.848 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.848 * [taylor]: Taking taylor expansion of f in f 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.849 * [backup-simplify]: Simplify (* 1 1) into 1 3.849 * [backup-simplify]: Simplify (/ 1 1) into 1 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.858 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (- 0) into 0 3.863 * [backup-simplify]: Simplify (+ 0 0) into 0 3.864 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) 3.865 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 3))))) (+ (* 0 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1)))) into (* 2 (/ 1 (pow f 3))) 3.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 3.865 * [taylor]: Taking taylor expansion of 2 in f 3.865 * [backup-simplify]: Simplify 2 into 2 3.865 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 3.865 * [taylor]: Taking taylor expansion of (pow f 3) in f 3.865 * [taylor]: Taking taylor expansion of f in f 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [backup-simplify]: Simplify (* 1 1) into 1 3.865 * [backup-simplify]: Simplify (* 1 1) into 1 3.865 * [backup-simplify]: Simplify (/ 1 1) into 1 3.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.871 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (n f) around 0 3.871 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.871 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.871 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.871 * [taylor]: Taking taylor expansion of f in f 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (/ 1 1) into 1 3.871 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.871 * [taylor]: Taking taylor expansion of n in f 3.871 * [backup-simplify]: Simplify n into n 3.871 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.871 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.871 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.871 * [taylor]: Taking taylor expansion of n in f 3.871 * [backup-simplify]: Simplify n into n 3.872 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.872 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.872 * [taylor]: Taking taylor expansion of f in f 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (/ 1 1) into 1 3.872 * [backup-simplify]: Simplify (+ 1 0) into 1 3.872 * [backup-simplify]: Simplify (- 1) into -1 3.873 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.873 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.873 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.873 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.873 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.873 * [taylor]: Taking taylor expansion of f in n 3.873 * [backup-simplify]: Simplify f into f 3.873 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.873 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.873 * [taylor]: Taking taylor expansion of n in n 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [backup-simplify]: Simplify (/ 1 1) into 1 3.873 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.873 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.873 * [taylor]: Taking taylor expansion of n in n 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.874 * [taylor]: Taking taylor expansion of f in n 3.874 * [backup-simplify]: Simplify f into f 3.874 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.874 * [backup-simplify]: Simplify (+ 0 1) into 1 3.874 * [backup-simplify]: Simplify (+ 1 0) into 1 3.874 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.874 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.874 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.874 * [taylor]: Taking taylor expansion of f in n 3.874 * [backup-simplify]: Simplify f into f 3.875 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.875 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.875 * [taylor]: Taking taylor expansion of n in n 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 1 into 1 3.875 * [backup-simplify]: Simplify (/ 1 1) into 1 3.875 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.875 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.875 * [taylor]: Taking taylor expansion of n in n 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 1 into 1 3.875 * [backup-simplify]: Simplify (/ 1 1) into 1 3.875 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.875 * [taylor]: Taking taylor expansion of f in n 3.875 * [backup-simplify]: Simplify f into f 3.875 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.875 * [backup-simplify]: Simplify (+ 0 1) into 1 3.876 * [backup-simplify]: Simplify (+ 1 0) into 1 3.876 * [backup-simplify]: Simplify (/ 1 1) into 1 3.876 * [taylor]: Taking taylor expansion of 1 in f 3.876 * [backup-simplify]: Simplify 1 into 1 3.876 * [backup-simplify]: Simplify 1 into 1 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 3.877 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 3.877 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 3.877 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 3.877 * [taylor]: Taking taylor expansion of 2 in f 3.877 * [backup-simplify]: Simplify 2 into 2 3.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.877 * [taylor]: Taking taylor expansion of f in f 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (/ 1 1) into 1 3.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.878 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (+ 0 0) into 0 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 3.880 * [backup-simplify]: Simplify (- 0) into 0 3.880 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 2))) 3.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 3.881 * [taylor]: Taking taylor expansion of 2 in f 3.881 * [backup-simplify]: Simplify 2 into 2 3.881 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.881 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.881 * [taylor]: Taking taylor expansion of f in f 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (* 1 1) into 1 3.882 * [backup-simplify]: Simplify (/ 1 1) into 1 3.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.884 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (+ 0 0) into 0 3.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 3.887 * [backup-simplify]: Simplify (- 0) into 0 3.887 * [backup-simplify]: Simplify (+ 0 0) into 0 3.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (* 2 (/ 1 (pow f 2))) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 3))) 3.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 3.888 * [taylor]: Taking taylor expansion of 2 in f 3.888 * [backup-simplify]: Simplify 2 into 2 3.888 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 3.888 * [taylor]: Taking taylor expansion of (pow f 3) in f 3.888 * [taylor]: Taking taylor expansion of f in f 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify 1 into 1 3.889 * [backup-simplify]: Simplify (* 1 1) into 1 3.889 * [backup-simplify]: Simplify (* 1 1) into 1 3.889 * [backup-simplify]: Simplify (/ 1 1) into 1 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.897 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 3.898 * [backup-simplify]: Simplify (/ (- (+ n f)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.898 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (n f) around 0 3.898 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.898 * [taylor]: Taking taylor expansion of -1 in f 3.898 * [backup-simplify]: Simplify -1 into -1 3.898 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.898 * [taylor]: Taking taylor expansion of (+ n f) in f 3.898 * [taylor]: Taking taylor expansion of n in f 3.898 * [backup-simplify]: Simplify n into n 3.898 * [taylor]: Taking taylor expansion of f in f 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [taylor]: Taking taylor expansion of (- f n) in f 3.898 * [taylor]: Taking taylor expansion of f in f 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [taylor]: Taking taylor expansion of n in f 3.898 * [backup-simplify]: Simplify n into n 3.898 * [backup-simplify]: Simplify (+ n 0) into n 3.898 * [backup-simplify]: Simplify (- n) into (- n) 3.898 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.898 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.898 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.898 * [taylor]: Taking taylor expansion of -1 in n 3.898 * [backup-simplify]: Simplify -1 into -1 3.898 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.898 * [taylor]: Taking taylor expansion of (+ n f) in n 3.898 * [taylor]: Taking taylor expansion of n in n 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [taylor]: Taking taylor expansion of f in n 3.899 * [backup-simplify]: Simplify f into f 3.899 * [taylor]: Taking taylor expansion of (- f n) in n 3.899 * [taylor]: Taking taylor expansion of f in n 3.899 * [backup-simplify]: Simplify f into f 3.899 * [taylor]: Taking taylor expansion of n in n 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (+ 0 f) into f 3.899 * [backup-simplify]: Simplify (- 0) into 0 3.899 * [backup-simplify]: Simplify (+ f 0) into f 3.899 * [backup-simplify]: Simplify (/ f f) into 1 3.899 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.899 * [taylor]: Taking taylor expansion of -1 in n 3.899 * [backup-simplify]: Simplify -1 into -1 3.899 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.899 * [taylor]: Taking taylor expansion of (+ n f) in n 3.899 * [taylor]: Taking taylor expansion of n in n 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [taylor]: Taking taylor expansion of f in n 3.900 * [backup-simplify]: Simplify f into f 3.900 * [taylor]: Taking taylor expansion of (- f n) in n 3.900 * [taylor]: Taking taylor expansion of f in n 3.900 * [backup-simplify]: Simplify f into f 3.900 * [taylor]: Taking taylor expansion of n in n 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [backup-simplify]: Simplify (+ 0 f) into f 3.900 * [backup-simplify]: Simplify (- 0) into 0 3.900 * [backup-simplify]: Simplify (+ f 0) into f 3.900 * [backup-simplify]: Simplify (/ f f) into 1 3.901 * [backup-simplify]: Simplify (* -1 1) into -1 3.901 * [taylor]: Taking taylor expansion of -1 in f 3.901 * [backup-simplify]: Simplify -1 into -1 3.901 * [backup-simplify]: Simplify -1 into -1 3.901 * [backup-simplify]: Simplify (+ 1 0) into 1 3.901 * [backup-simplify]: Simplify (- 1) into -1 3.902 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.902 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 3.903 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 3.903 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 3.903 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 3.903 * [taylor]: Taking taylor expansion of 2 in f 3.903 * [backup-simplify]: Simplify 2 into 2 3.903 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.903 * [taylor]: Taking taylor expansion of f in f 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (/ 1 1) into 1 3.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.904 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.905 * [backup-simplify]: Simplify (- 0) into 0 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify (+ 0 0) into 0 3.906 * [backup-simplify]: Simplify (- 0) into 0 3.906 * [backup-simplify]: Simplify (+ 0 0) into 0 3.906 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) 3.907 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1))) into (- (* 2 (/ 1 (pow f 2)))) 3.907 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f 3.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 3.907 * [taylor]: Taking taylor expansion of 2 in f 3.907 * [backup-simplify]: Simplify 2 into 2 3.907 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.907 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.907 * [taylor]: Taking taylor expansion of f in f 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.908 * [backup-simplify]: Simplify (* 1 1) into 1 3.908 * [backup-simplify]: Simplify (/ 1 1) into 1 3.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.912 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.912 * [backup-simplify]: Simplify (- 0) into 0 3.912 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.915 * [backup-simplify]: Simplify (- 0) into 0 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify (+ 0 0) into 0 3.915 * [backup-simplify]: Simplify (- 0) into 0 3.916 * [backup-simplify]: Simplify (+ 0 0) into 0 3.916 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) 3.917 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 3)))) (+ (* 0 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1)))) into (- (* 2 (/ 1 (pow f 3)))) 3.917 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 3.917 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 3.917 * [taylor]: Taking taylor expansion of 2 in f 3.917 * [backup-simplify]: Simplify 2 into 2 3.917 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 3.917 * [taylor]: Taking taylor expansion of (pow f 3) in f 3.917 * [taylor]: Taking taylor expansion of f in f 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.918 * [backup-simplify]: Simplify (* 1 1) into 1 3.918 * [backup-simplify]: Simplify (* 1 1) into 1 3.918 * [backup-simplify]: Simplify (/ 1 1) into 1 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.927 * [backup-simplify]: Simplify (- 0) into 0 3.927 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify -1 into -1 3.928 * [backup-simplify]: Simplify (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.928 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (n f) around 0 3.928 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.928 * [taylor]: Taking taylor expansion of -1 in f 3.928 * [backup-simplify]: Simplify -1 into -1 3.928 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.928 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.928 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.928 * [taylor]: Taking taylor expansion of f in f 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (/ 1 1) into 1 3.928 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.928 * [taylor]: Taking taylor expansion of n in f 3.929 * [backup-simplify]: Simplify n into n 3.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.929 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.929 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.929 * [taylor]: Taking taylor expansion of f in f 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (/ 1 1) into 1 3.929 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.929 * [taylor]: Taking taylor expansion of n in f 3.929 * [backup-simplify]: Simplify n into n 3.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.930 * [backup-simplify]: Simplify (+ 1 0) into 1 3.930 * [backup-simplify]: Simplify (+ 1 0) into 1 3.930 * [backup-simplify]: Simplify (/ 1 1) into 1 3.930 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.930 * [taylor]: Taking taylor expansion of -1 in n 3.930 * [backup-simplify]: Simplify -1 into -1 3.930 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.930 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.930 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.930 * [taylor]: Taking taylor expansion of f in n 3.931 * [backup-simplify]: Simplify f into f 3.931 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.931 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.931 * [taylor]: Taking taylor expansion of n in n 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (/ 1 1) into 1 3.931 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.931 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.931 * [taylor]: Taking taylor expansion of f in n 3.931 * [backup-simplify]: Simplify f into f 3.931 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.931 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.931 * [taylor]: Taking taylor expansion of n in n 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.932 * [backup-simplify]: Simplify (/ 1 1) into 1 3.932 * [backup-simplify]: Simplify (+ 0 1) into 1 3.932 * [backup-simplify]: Simplify (- 1) into -1 3.933 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.933 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.933 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.933 * [taylor]: Taking taylor expansion of -1 in n 3.933 * [backup-simplify]: Simplify -1 into -1 3.933 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.933 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.933 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.933 * [taylor]: Taking taylor expansion of f in n 3.933 * [backup-simplify]: Simplify f into f 3.933 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.933 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.933 * [taylor]: Taking taylor expansion of n in n 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [backup-simplify]: Simplify (/ 1 1) into 1 3.934 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.934 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.934 * [taylor]: Taking taylor expansion of f in n 3.934 * [backup-simplify]: Simplify f into f 3.934 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.934 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.934 * [taylor]: Taking taylor expansion of n in n 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [backup-simplify]: Simplify (/ 1 1) into 1 3.935 * [backup-simplify]: Simplify (+ 0 1) into 1 3.935 * [backup-simplify]: Simplify (- 1) into -1 3.936 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.936 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.936 * [backup-simplify]: Simplify (* -1 -1) into 1 3.936 * [taylor]: Taking taylor expansion of 1 in f 3.936 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify 1 into 1 3.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.937 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (- 0) into 0 3.938 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.939 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 3.939 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 3.939 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 3.939 * [taylor]: Taking taylor expansion of 2 in f 3.939 * [backup-simplify]: Simplify 2 into 2 3.939 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.939 * [taylor]: Taking taylor expansion of f in f 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.940 * [backup-simplify]: Simplify (/ 1 1) into 1 3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.941 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.941 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ 0 0) into 0 3.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 3.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (- 0) into 0 3.944 * [backup-simplify]: Simplify (+ 0 0) into 0 3.945 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) 3.946 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1))) into (* 2 (/ 1 (pow f 2))) 3.946 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 3.946 * [taylor]: Taking taylor expansion of 2 in f 3.946 * [backup-simplify]: Simplify 2 into 2 3.946 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.946 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.946 * [taylor]: Taking taylor expansion of f in f 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (* 1 1) into 1 3.947 * [backup-simplify]: Simplify (/ 1 1) into 1 3.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 3.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ 0 0) into 0 3.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 3.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.956 * [backup-simplify]: Simplify (- 0) into 0 3.957 * [backup-simplify]: Simplify (+ 0 0) into 0 3.959 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) 3.960 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 3))))) (+ (* 0 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1)))) into (* 2 (/ 1 (pow f 3))) 3.960 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 3.960 * [taylor]: Taking taylor expansion of 2 in f 3.960 * [backup-simplify]: Simplify 2 into 2 3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 3.960 * [taylor]: Taking taylor expansion of (pow f 3) in f 3.960 * [taylor]: Taking taylor expansion of f in f 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify 1 into 1 3.960 * [backup-simplify]: Simplify (* 1 1) into 1 3.960 * [backup-simplify]: Simplify (* 1 1) into 1 3.961 * [backup-simplify]: Simplify (/ 1 1) into 1 3.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.970 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.970 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify 1 into 1 3.970 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.970 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (n f) around 0 3.970 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.970 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.970 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.970 * [taylor]: Taking taylor expansion of f in f 3.970 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify 1 into 1 3.971 * [backup-simplify]: Simplify (/ 1 1) into 1 3.971 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.971 * [taylor]: Taking taylor expansion of n in f 3.971 * [backup-simplify]: Simplify n into n 3.971 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.971 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.971 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.971 * [taylor]: Taking taylor expansion of n in f 3.971 * [backup-simplify]: Simplify n into n 3.971 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.971 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.971 * [taylor]: Taking taylor expansion of f in f 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [backup-simplify]: Simplify (+ 1 0) into 1 3.972 * [backup-simplify]: Simplify (- 1) into -1 3.973 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.973 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.973 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.973 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.973 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.973 * [taylor]: Taking taylor expansion of f in n 3.973 * [backup-simplify]: Simplify f into f 3.973 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.973 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.973 * [taylor]: Taking taylor expansion of n in n 3.973 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.974 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.974 * [taylor]: Taking taylor expansion of n in n 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.974 * [taylor]: Taking taylor expansion of f in n 3.974 * [backup-simplify]: Simplify f into f 3.974 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.975 * [backup-simplify]: Simplify (+ 0 1) into 1 3.975 * [backup-simplify]: Simplify (+ 1 0) into 1 3.975 * [backup-simplify]: Simplify (/ 1 1) into 1 3.975 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.975 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.975 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.975 * [taylor]: Taking taylor expansion of f in n 3.975 * [backup-simplify]: Simplify f into f 3.975 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.975 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.975 * [taylor]: Taking taylor expansion of n in n 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.976 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.976 * [taylor]: Taking taylor expansion of n in n 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.976 * [taylor]: Taking taylor expansion of f in n 3.976 * [backup-simplify]: Simplify f into f 3.976 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.977 * [backup-simplify]: Simplify (+ 0 1) into 1 3.978 * [backup-simplify]: Simplify (+ 1 0) into 1 3.978 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [taylor]: Taking taylor expansion of 1 in f 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify 1 into 1 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 3.981 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 3.981 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 3.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 3.981 * [taylor]: Taking taylor expansion of 2 in f 3.981 * [backup-simplify]: Simplify 2 into 2 3.981 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.981 * [taylor]: Taking taylor expansion of f in f 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 1 into 1 3.982 * [backup-simplify]: Simplify (/ 1 1) into 1 3.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (+ 0 0) into 0 3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 3.986 * [backup-simplify]: Simplify (- 0) into 0 3.986 * [backup-simplify]: Simplify (+ 0 0) into 0 3.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 2))) 3.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 3.987 * [taylor]: Taking taylor expansion of 2 in f 3.987 * [backup-simplify]: Simplify 2 into 2 3.988 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.988 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.988 * [taylor]: Taking taylor expansion of f in f 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 1 into 1 3.988 * [backup-simplify]: Simplify (* 1 1) into 1 3.988 * [backup-simplify]: Simplify (/ 1 1) into 1 3.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 3.997 * [backup-simplify]: Simplify (- 0) into 0 3.997 * [backup-simplify]: Simplify (+ 0 0) into 0 3.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (* 2 (/ 1 (pow f 2))) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 3))) 3.999 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 3.999 * [taylor]: Taking taylor expansion of 2 in f 3.999 * [backup-simplify]: Simplify 2 into 2 3.999 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 3.999 * [taylor]: Taking taylor expansion of (pow f 3) in f 3.999 * [taylor]: Taking taylor expansion of f in f 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (* 1 1) into 1 4.000 * [backup-simplify]: Simplify (* 1 1) into 1 4.000 * [backup-simplify]: Simplify (/ 1 1) into 1 4.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.009 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.009 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.009 * [backup-simplify]: Simplify (/ (- (+ n f)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 4.009 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (n f) around 0 4.009 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.009 * [taylor]: Taking taylor expansion of -1 in f 4.009 * [backup-simplify]: Simplify -1 into -1 4.009 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.009 * [taylor]: Taking taylor expansion of (+ n f) in f 4.009 * [taylor]: Taking taylor expansion of n in f 4.009 * [backup-simplify]: Simplify n into n 4.010 * [taylor]: Taking taylor expansion of f in f 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [taylor]: Taking taylor expansion of (- f n) in f 4.010 * [taylor]: Taking taylor expansion of f in f 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [taylor]: Taking taylor expansion of n in f 4.010 * [backup-simplify]: Simplify n into n 4.010 * [backup-simplify]: Simplify (+ n 0) into n 4.010 * [backup-simplify]: Simplify (- n) into (- n) 4.010 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.010 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.010 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.010 * [taylor]: Taking taylor expansion of -1 in n 4.010 * [backup-simplify]: Simplify -1 into -1 4.010 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.010 * [taylor]: Taking taylor expansion of (+ n f) in n 4.010 * [taylor]: Taking taylor expansion of n in n 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [taylor]: Taking taylor expansion of f in n 4.010 * [backup-simplify]: Simplify f into f 4.010 * [taylor]: Taking taylor expansion of (- f n) in n 4.010 * [taylor]: Taking taylor expansion of f in n 4.010 * [backup-simplify]: Simplify f into f 4.010 * [taylor]: Taking taylor expansion of n in n 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (+ 0 f) into f 4.011 * [backup-simplify]: Simplify (- 0) into 0 4.011 * [backup-simplify]: Simplify (+ f 0) into f 4.011 * [backup-simplify]: Simplify (/ f f) into 1 4.011 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.011 * [taylor]: Taking taylor expansion of -1 in n 4.011 * [backup-simplify]: Simplify -1 into -1 4.011 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.011 * [taylor]: Taking taylor expansion of (+ n f) in n 4.011 * [taylor]: Taking taylor expansion of n in n 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [taylor]: Taking taylor expansion of f in n 4.011 * [backup-simplify]: Simplify f into f 4.011 * [taylor]: Taking taylor expansion of (- f n) in n 4.011 * [taylor]: Taking taylor expansion of f in n 4.011 * [backup-simplify]: Simplify f into f 4.011 * [taylor]: Taking taylor expansion of n in n 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [backup-simplify]: Simplify (+ 0 f) into f 4.012 * [backup-simplify]: Simplify (- 0) into 0 4.012 * [backup-simplify]: Simplify (+ f 0) into f 4.012 * [backup-simplify]: Simplify (/ f f) into 1 4.012 * [backup-simplify]: Simplify (* -1 1) into -1 4.012 * [taylor]: Taking taylor expansion of -1 in f 4.012 * [backup-simplify]: Simplify -1 into -1 4.012 * [backup-simplify]: Simplify -1 into -1 4.013 * [backup-simplify]: Simplify (+ 1 0) into 1 4.013 * [backup-simplify]: Simplify (- 1) into -1 4.014 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.014 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 4.014 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 4.014 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 4.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 4.014 * [taylor]: Taking taylor expansion of 2 in f 4.014 * [backup-simplify]: Simplify 2 into 2 4.014 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.014 * [taylor]: Taking taylor expansion of f in f 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (/ 1 1) into 1 4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.017 * [backup-simplify]: Simplify (- 0) into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.017 * [backup-simplify]: Simplify (- 0) into 0 4.018 * [backup-simplify]: Simplify (+ 0 0) into 0 4.018 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) 4.019 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1))) into (- (* 2 (/ 1 (pow f 2)))) 4.019 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f 4.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 4.019 * [taylor]: Taking taylor expansion of 2 in f 4.019 * [backup-simplify]: Simplify 2 into 2 4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 4.019 * [taylor]: Taking taylor expansion of (pow f 2) in f 4.019 * [taylor]: Taking taylor expansion of f in f 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (* 1 1) into 1 4.019 * [backup-simplify]: Simplify (/ 1 1) into 1 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.022 * [backup-simplify]: Simplify (- 0) into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.023 * [backup-simplify]: Simplify (- 0) into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.024 * [backup-simplify]: Simplify (- 0) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.024 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) 4.025 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 3)))) (+ (* 0 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1)))) into (- (* 2 (/ 1 (pow f 3)))) 4.025 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 4.025 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 4.025 * [taylor]: Taking taylor expansion of 2 in f 4.025 * [backup-simplify]: Simplify 2 into 2 4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 4.025 * [taylor]: Taking taylor expansion of (pow f 3) in f 4.025 * [taylor]: Taking taylor expansion of f in f 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (/ 1 1) into 1 4.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (- 0) into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify -1 into -1 4.031 * [backup-simplify]: Simplify (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.031 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (n f) around 0 4.031 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.031 * [taylor]: Taking taylor expansion of -1 in f 4.031 * [backup-simplify]: Simplify -1 into -1 4.031 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.031 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.031 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.031 * [taylor]: Taking taylor expansion of f in f 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.032 * [backup-simplify]: Simplify (/ 1 1) into 1 4.032 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.032 * [taylor]: Taking taylor expansion of n in f 4.032 * [backup-simplify]: Simplify n into n 4.032 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.032 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.032 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.032 * [taylor]: Taking taylor expansion of f in f 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.032 * [backup-simplify]: Simplify (/ 1 1) into 1 4.032 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.032 * [taylor]: Taking taylor expansion of n in f 4.032 * [backup-simplify]: Simplify n into n 4.032 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.032 * [backup-simplify]: Simplify (+ 1 0) into 1 4.033 * [backup-simplify]: Simplify (+ 1 0) into 1 4.033 * [backup-simplify]: Simplify (/ 1 1) into 1 4.033 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.033 * [taylor]: Taking taylor expansion of -1 in n 4.033 * [backup-simplify]: Simplify -1 into -1 4.033 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.033 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.033 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.033 * [taylor]: Taking taylor expansion of f in n 4.033 * [backup-simplify]: Simplify f into f 4.033 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.033 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.033 * [taylor]: Taking taylor expansion of n in n 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 1 into 1 4.033 * [backup-simplify]: Simplify (/ 1 1) into 1 4.033 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.033 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.033 * [taylor]: Taking taylor expansion of f in n 4.033 * [backup-simplify]: Simplify f into f 4.033 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.033 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.033 * [taylor]: Taking taylor expansion of n in n 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (/ 1 1) into 1 4.034 * [backup-simplify]: Simplify (+ 0 1) into 1 4.034 * [backup-simplify]: Simplify (- 1) into -1 4.034 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.035 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.035 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.035 * [taylor]: Taking taylor expansion of -1 in n 4.035 * [backup-simplify]: Simplify -1 into -1 4.035 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.035 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.035 * [taylor]: Taking taylor expansion of f in n 4.035 * [backup-simplify]: Simplify f into f 4.035 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.035 * [taylor]: Taking taylor expansion of n in n 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.035 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.035 * [taylor]: Taking taylor expansion of f in n 4.035 * [backup-simplify]: Simplify f into f 4.035 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.035 * [taylor]: Taking taylor expansion of n in n 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.036 * [backup-simplify]: Simplify (/ 1 1) into 1 4.036 * [backup-simplify]: Simplify (+ 0 1) into 1 4.036 * [backup-simplify]: Simplify (- 1) into -1 4.036 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.037 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.037 * [backup-simplify]: Simplify (* -1 -1) into 1 4.037 * [taylor]: Taking taylor expansion of 1 in f 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.037 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (- 0) into 0 4.038 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.038 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 4.039 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 4.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 4.039 * [taylor]: Taking taylor expansion of 2 in f 4.039 * [backup-simplify]: Simplify 2 into 2 4.039 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.039 * [taylor]: Taking taylor expansion of f in f 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [backup-simplify]: Simplify (/ 1 1) into 1 4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (+ 0 0) into 0 4.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 4.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (- 0) into 0 4.042 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) 4.043 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1))) into (* 2 (/ 1 (pow f 2))) 4.043 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 4.043 * [taylor]: Taking taylor expansion of 2 in f 4.043 * [backup-simplify]: Simplify 2 into 2 4.043 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 4.043 * [taylor]: Taking taylor expansion of (pow f 2) in f 4.043 * [taylor]: Taking taylor expansion of f in f 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 1 into 1 4.043 * [backup-simplify]: Simplify (* 1 1) into 1 4.044 * [backup-simplify]: Simplify (/ 1 1) into 1 4.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 4.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.048 * [backup-simplify]: Simplify (+ 0 0) into 0 4.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.049 * [backup-simplify]: Simplify (- 0) into 0 4.049 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) 4.052 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 3))))) (+ (* 0 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1)))) into (* 2 (/ 1 (pow f 3))) 4.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 4.052 * [taylor]: Taking taylor expansion of 2 in f 4.052 * [backup-simplify]: Simplify 2 into 2 4.052 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 4.052 * [taylor]: Taking taylor expansion of (pow f 3) in f 4.052 * [taylor]: Taking taylor expansion of f in f 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.053 * [backup-simplify]: Simplify (* 1 1) into 1 4.053 * [backup-simplify]: Simplify (* 1 1) into 1 4.053 * [backup-simplify]: Simplify (/ 1 1) into 1 4.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.063 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (n f) around 0 4.063 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.063 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.063 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.063 * [taylor]: Taking taylor expansion of f in f 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (/ 1 1) into 1 4.064 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.064 * [taylor]: Taking taylor expansion of n in f 4.064 * [backup-simplify]: Simplify n into n 4.064 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.064 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.064 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.064 * [taylor]: Taking taylor expansion of n in f 4.064 * [backup-simplify]: Simplify n into n 4.064 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.064 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.064 * [taylor]: Taking taylor expansion of f in f 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (/ 1 1) into 1 4.065 * [backup-simplify]: Simplify (+ 1 0) into 1 4.065 * [backup-simplify]: Simplify (- 1) into -1 4.066 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.066 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.066 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.066 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.066 * [taylor]: Taking taylor expansion of f in n 4.066 * [backup-simplify]: Simplify f into f 4.066 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.066 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.066 * [taylor]: Taking taylor expansion of n in n 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (/ 1 1) into 1 4.067 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.067 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.067 * [taylor]: Taking taylor expansion of n in n 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (/ 1 1) into 1 4.067 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.067 * [taylor]: Taking taylor expansion of f in n 4.067 * [backup-simplify]: Simplify f into f 4.067 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.068 * [backup-simplify]: Simplify (+ 0 1) into 1 4.068 * [backup-simplify]: Simplify (+ 1 0) into 1 4.069 * [backup-simplify]: Simplify (/ 1 1) into 1 4.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.069 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.069 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.069 * [taylor]: Taking taylor expansion of f in n 4.069 * [backup-simplify]: Simplify f into f 4.069 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.069 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.069 * [taylor]: Taking taylor expansion of n in n 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 1 into 1 4.069 * [backup-simplify]: Simplify (/ 1 1) into 1 4.069 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.069 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.070 * [taylor]: Taking taylor expansion of n in n 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (/ 1 1) into 1 4.070 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.070 * [taylor]: Taking taylor expansion of f in n 4.070 * [backup-simplify]: Simplify f into f 4.070 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.070 * [backup-simplify]: Simplify (+ 0 1) into 1 4.071 * [backup-simplify]: Simplify (+ 1 0) into 1 4.071 * [backup-simplify]: Simplify (/ 1 1) into 1 4.071 * [taylor]: Taking taylor expansion of 1 in f 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 4.072 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 4.072 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 4.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 4.072 * [taylor]: Taking taylor expansion of 2 in f 4.072 * [backup-simplify]: Simplify 2 into 2 4.072 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.072 * [taylor]: Taking taylor expansion of f in f 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (/ 1 1) into 1 4.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 4.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (+ 0 0) into 0 4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 4.075 * [backup-simplify]: Simplify (- 0) into 0 4.076 * [backup-simplify]: Simplify (+ 0 0) into 0 4.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 2))) 4.076 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 4.076 * [taylor]: Taking taylor expansion of 2 in f 4.076 * [backup-simplify]: Simplify 2 into 2 4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 4.076 * [taylor]: Taking taylor expansion of (pow f 2) in f 4.076 * [taylor]: Taking taylor expansion of f in f 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.077 * [backup-simplify]: Simplify (* 1 1) into 1 4.077 * [backup-simplify]: Simplify (/ 1 1) into 1 4.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.079 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (+ 0 0) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 4.082 * [backup-simplify]: Simplify (- 0) into 0 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (* 2 (/ 1 (pow f 2))) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 3))) 4.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 4.084 * [taylor]: Taking taylor expansion of 2 in f 4.084 * [backup-simplify]: Simplify 2 into 2 4.084 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 4.084 * [taylor]: Taking taylor expansion of (pow f 3) in f 4.084 * [taylor]: Taking taylor expansion of f in f 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.084 * [backup-simplify]: Simplify (/ 1 1) into 1 4.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.091 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n)))) into (/ (* (cbrt -1) (+ n f)) (- f n)) 4.091 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (n f) around 0 4.091 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 4.091 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 4.091 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.091 * [taylor]: Taking taylor expansion of -1 in f 4.091 * [backup-simplify]: Simplify -1 into -1 4.092 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.092 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.092 * [taylor]: Taking taylor expansion of (+ n f) in f 4.092 * [taylor]: Taking taylor expansion of n in f 4.092 * [backup-simplify]: Simplify n into n 4.092 * [taylor]: Taking taylor expansion of f in f 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [taylor]: Taking taylor expansion of (- f n) in f 4.092 * [taylor]: Taking taylor expansion of f in f 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [taylor]: Taking taylor expansion of n in f 4.092 * [backup-simplify]: Simplify n into n 4.093 * [backup-simplify]: Simplify (+ n 0) into n 4.093 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 4.093 * [backup-simplify]: Simplify (- n) into (- n) 4.093 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.093 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 4.093 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 4.093 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 4.093 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.093 * [taylor]: Taking taylor expansion of -1 in n 4.093 * [backup-simplify]: Simplify -1 into -1 4.094 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.094 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.094 * [taylor]: Taking taylor expansion of (+ n f) in n 4.094 * [taylor]: Taking taylor expansion of n in n 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [taylor]: Taking taylor expansion of f in n 4.094 * [backup-simplify]: Simplify f into f 4.094 * [taylor]: Taking taylor expansion of (- f n) in n 4.094 * [taylor]: Taking taylor expansion of f in n 4.094 * [backup-simplify]: Simplify f into f 4.094 * [taylor]: Taking taylor expansion of n in n 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (+ 0 f) into f 4.095 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 4.095 * [backup-simplify]: Simplify (- 0) into 0 4.095 * [backup-simplify]: Simplify (+ f 0) into f 4.096 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 4.096 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 4.096 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 4.096 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.096 * [taylor]: Taking taylor expansion of -1 in n 4.096 * [backup-simplify]: Simplify -1 into -1 4.096 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.097 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.097 * [taylor]: Taking taylor expansion of (+ n f) in n 4.097 * [taylor]: Taking taylor expansion of n in n 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.097 * [taylor]: Taking taylor expansion of f in n 4.097 * [backup-simplify]: Simplify f into f 4.097 * [taylor]: Taking taylor expansion of (- f n) in n 4.097 * [taylor]: Taking taylor expansion of f in n 4.097 * [backup-simplify]: Simplify f into f 4.097 * [taylor]: Taking taylor expansion of n in n 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.097 * [backup-simplify]: Simplify (+ 0 f) into f 4.098 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 4.098 * [backup-simplify]: Simplify (- 0) into 0 4.098 * [backup-simplify]: Simplify (+ f 0) into f 4.099 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 4.099 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.099 * [taylor]: Taking taylor expansion of -1 in f 4.099 * [backup-simplify]: Simplify -1 into -1 4.099 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.100 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.100 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.101 * [backup-simplify]: Simplify (+ 1 0) into 1 4.102 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 f)) into (cbrt -1) 4.102 * [backup-simplify]: Simplify (- 1) into -1 4.102 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.103 * [backup-simplify]: Simplify (- (/ (cbrt -1) f) (+ (* (cbrt -1) (/ -1 f)))) into (* 2 (/ (cbrt -1) f)) 4.104 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) f)) in f 4.104 * [taylor]: Taking taylor expansion of 2 in f 4.104 * [backup-simplify]: Simplify 2 into 2 4.104 * [taylor]: Taking taylor expansion of (/ (cbrt -1) f) in f 4.104 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.104 * [taylor]: Taking taylor expansion of -1 in f 4.104 * [backup-simplify]: Simplify -1 into -1 4.104 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.105 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.105 * [taylor]: Taking taylor expansion of f in f 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify (+ 0 0) into 0 4.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.111 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 f))) into 0 4.111 * [backup-simplify]: Simplify (- 0) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.113 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (cbrt -1) (/ 0 f)) (* (* 2 (/ (cbrt -1) f)) (/ -1 f)))) into (* 2 (/ (cbrt -1) (pow f 2))) 4.113 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow f 2))) in f 4.113 * [taylor]: Taking taylor expansion of 2 in f 4.113 * [backup-simplify]: Simplify 2 into 2 4.113 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow f 2)) in f 4.113 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.113 * [taylor]: Taking taylor expansion of -1 in f 4.113 * [backup-simplify]: Simplify -1 into -1 4.114 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.114 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.114 * [taylor]: Taking taylor expansion of (pow f 2) in f 4.114 * [taylor]: Taking taylor expansion of f in f 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.115 * [backup-simplify]: Simplify (* 1 1) into 1 4.116 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.122 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify (+ 0 0) into 0 4.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.131 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 f)))) into 0 4.131 * [backup-simplify]: Simplify (- 0) into 0 4.132 * [backup-simplify]: Simplify (+ 0 0) into 0 4.134 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (cbrt -1) (/ 0 f)) (* (* 2 (/ (cbrt -1) f)) (/ 0 f)) (* (* 2 (/ (cbrt -1) (pow f 2))) (/ -1 f)))) into (* 2 (/ (cbrt -1) (pow f 3))) 4.134 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow f 3))) in f 4.134 * [taylor]: Taking taylor expansion of 2 in f 4.134 * [backup-simplify]: Simplify 2 into 2 4.134 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow f 3)) in f 4.134 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.134 * [taylor]: Taking taylor expansion of -1 in f 4.134 * [backup-simplify]: Simplify -1 into -1 4.134 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.135 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.135 * [taylor]: Taking taylor expansion of (pow f 3) in f 4.135 * [taylor]: Taking taylor expansion of f in f 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (* 1 1) into 1 4.136 * [backup-simplify]: Simplify (* 1 1) into 1 4.137 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.150 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n)))) (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))))) into (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) 4.150 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in (n f) around 0 4.150 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f 4.150 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f 4.150 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.150 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.150 * [taylor]: Taking taylor expansion of f in f 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.151 * [backup-simplify]: Simplify (/ 1 1) into 1 4.151 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.151 * [taylor]: Taking taylor expansion of n in f 4.151 * [backup-simplify]: Simplify n into n 4.151 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.151 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.151 * [taylor]: Taking taylor expansion of -1 in f 4.151 * [backup-simplify]: Simplify -1 into -1 4.151 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.152 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.152 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.152 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.152 * [taylor]: Taking taylor expansion of f in f 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify (/ 1 1) into 1 4.153 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.153 * [taylor]: Taking taylor expansion of n in f 4.153 * [backup-simplify]: Simplify n into n 4.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.153 * [backup-simplify]: Simplify (+ 1 0) into 1 4.154 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 4.154 * [backup-simplify]: Simplify (+ 1 0) into 1 4.155 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.155 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in n 4.155 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in n 4.155 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.155 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.155 * [taylor]: Taking taylor expansion of f in n 4.155 * [backup-simplify]: Simplify f into f 4.156 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.156 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.156 * [taylor]: Taking taylor expansion of n in n 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 1 into 1 4.156 * [backup-simplify]: Simplify (/ 1 1) into 1 4.156 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.156 * [taylor]: Taking taylor expansion of -1 in n 4.156 * [backup-simplify]: Simplify -1 into -1 4.156 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.157 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.157 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.157 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.157 * [taylor]: Taking taylor expansion of f in n 4.157 * [backup-simplify]: Simplify f into f 4.157 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.157 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.157 * [taylor]: Taking taylor expansion of n in n 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 1 into 1 4.158 * [backup-simplify]: Simplify (/ 1 1) into 1 4.158 * [backup-simplify]: Simplify (+ 0 1) into 1 4.159 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 4.159 * [backup-simplify]: Simplify (- 1) into -1 4.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.161 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 4.161 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in n 4.161 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in n 4.161 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.161 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.161 * [taylor]: Taking taylor expansion of f in n 4.161 * [backup-simplify]: Simplify f into f 4.161 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.161 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.161 * [taylor]: Taking taylor expansion of n in n 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [backup-simplify]: Simplify (/ 1 1) into 1 4.161 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.161 * [taylor]: Taking taylor expansion of -1 in n 4.161 * [backup-simplify]: Simplify -1 into -1 4.162 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.162 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.163 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.163 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.163 * [taylor]: Taking taylor expansion of f in n 4.163 * [backup-simplify]: Simplify f into f 4.163 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.163 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.163 * [taylor]: Taking taylor expansion of n in n 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 1 into 1 4.163 * [backup-simplify]: Simplify (/ 1 1) into 1 4.163 * [backup-simplify]: Simplify (+ 0 1) into 1 4.164 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 4.165 * [backup-simplify]: Simplify (- 1) into -1 4.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.166 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 4.166 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in f 4.166 * [taylor]: Taking taylor expansion of -1 in f 4.166 * [backup-simplify]: Simplify -1 into -1 4.166 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.166 * [taylor]: Taking taylor expansion of -1 in f 4.166 * [backup-simplify]: Simplify -1 into -1 4.166 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.167 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.168 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 4.169 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 4.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.170 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 f) (cbrt -1))) into (/ (cbrt -1) f) 4.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.171 * [backup-simplify]: Simplify (- 0) into 0 4.171 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.173 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) f) -1) (+ (* (* -1 (cbrt -1)) (/ (/ 1 f) -1)))) into (- (* 2 (/ (cbrt -1) f))) 4.173 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) f))) in f 4.173 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) f)) in f 4.173 * [taylor]: Taking taylor expansion of 2 in f 4.173 * [backup-simplify]: Simplify 2 into 2 4.173 * [taylor]: Taking taylor expansion of (/ (cbrt -1) f) in f 4.173 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.173 * [taylor]: Taking taylor expansion of -1 in f 4.173 * [backup-simplify]: Simplify -1 into -1 4.174 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.174 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.174 * [taylor]: Taking taylor expansion of f in f 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 1 into 1 4.175 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 4.177 * [backup-simplify]: Simplify (- 0) into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 4.178 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 4.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.181 * [backup-simplify]: Simplify (+ 0 0) into 0 4.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (* 0 (cbrt -1)))) into 0 4.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 4.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.183 * [backup-simplify]: Simplify (- 0) into 0 4.183 * [backup-simplify]: Simplify (+ 0 0) into 0 4.185 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (cbrt -1)) (/ 0 -1)) (* (- (* 2 (/ (cbrt -1) f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ (cbrt -1) (pow f 2)))) 4.185 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow f 2)))) in f 4.185 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow f 2))) in f 4.185 * [taylor]: Taking taylor expansion of 2 in f 4.185 * [backup-simplify]: Simplify 2 into 2 4.185 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow f 2)) in f 4.185 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.185 * [taylor]: Taking taylor expansion of -1 in f 4.185 * [backup-simplify]: Simplify -1 into -1 4.186 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.186 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.186 * [taylor]: Taking taylor expansion of (pow f 2) in f 4.186 * [taylor]: Taking taylor expansion of f in f 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.187 * [backup-simplify]: Simplify (* 1 1) into 1 4.188 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.193 * [backup-simplify]: Simplify (- 0) into 0 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.195 * [backup-simplify]: Simplify (- 0) into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.196 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.196 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 4.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (+ 0 0) into 0 4.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 4.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.200 * [backup-simplify]: Simplify (- 0) into 0 4.200 * [backup-simplify]: Simplify (+ 0 0) into 0 4.202 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (cbrt -1)) (/ 0 -1)) (* (- (* 2 (/ (cbrt -1) f))) (/ 0 -1)) (* (- (* 2 (/ (cbrt -1) (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ (cbrt -1) (pow f 3)))) 4.202 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow f 3)))) in f 4.202 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow f 3))) in f 4.202 * [taylor]: Taking taylor expansion of 2 in f 4.202 * [backup-simplify]: Simplify 2 into 2 4.202 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow f 3)) in f 4.202 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.202 * [taylor]: Taking taylor expansion of -1 in f 4.202 * [backup-simplify]: Simplify -1 into -1 4.203 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.203 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.203 * [taylor]: Taking taylor expansion of (pow f 3) in f 4.203 * [taylor]: Taking taylor expansion of f in f 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [backup-simplify]: Simplify (* 1 1) into 1 4.204 * [backup-simplify]: Simplify (* 1 1) into 1 4.204 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.215 * [backup-simplify]: Simplify (- 0) into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 4.216 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.216 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (n f) around 0 4.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.216 * [taylor]: Taking taylor expansion of f in f 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.217 * [backup-simplify]: Simplify (/ 1 1) into 1 4.217 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.217 * [taylor]: Taking taylor expansion of n in f 4.217 * [backup-simplify]: Simplify n into n 4.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.217 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.217 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.217 * [taylor]: Taking taylor expansion of n in f 4.217 * [backup-simplify]: Simplify n into n 4.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.217 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.217 * [taylor]: Taking taylor expansion of f in f 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.217 * [backup-simplify]: Simplify (/ 1 1) into 1 4.217 * [backup-simplify]: Simplify (+ 1 0) into 1 4.218 * [backup-simplify]: Simplify (- 1) into -1 4.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.218 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.218 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.218 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.218 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.218 * [taylor]: Taking taylor expansion of f in n 4.218 * [backup-simplify]: Simplify f into f 4.218 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.218 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.218 * [taylor]: Taking taylor expansion of n in n 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (/ 1 1) into 1 4.219 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.219 * [taylor]: Taking taylor expansion of n in n 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (/ 1 1) into 1 4.219 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.219 * [taylor]: Taking taylor expansion of f in n 4.219 * [backup-simplify]: Simplify f into f 4.219 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.219 * [backup-simplify]: Simplify (+ 0 1) into 1 4.219 * [backup-simplify]: Simplify (+ 1 0) into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.220 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.220 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.220 * [taylor]: Taking taylor expansion of f in n 4.220 * [backup-simplify]: Simplify f into f 4.220 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.220 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.220 * [taylor]: Taking taylor expansion of n in n 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.220 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.220 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.220 * [taylor]: Taking taylor expansion of n in n 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.220 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.221 * [taylor]: Taking taylor expansion of f in n 4.221 * [backup-simplify]: Simplify f into f 4.221 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.221 * [backup-simplify]: Simplify (+ 0 1) into 1 4.221 * [backup-simplify]: Simplify (+ 1 0) into 1 4.221 * [backup-simplify]: Simplify (/ 1 1) into 1 4.221 * [taylor]: Taking taylor expansion of 1 in f 4.221 * [backup-simplify]: Simplify 1 into 1 4.221 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 4.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 4.223 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 4.223 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 4.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 4.223 * [taylor]: Taking taylor expansion of 2 in f 4.223 * [backup-simplify]: Simplify 2 into 2 4.223 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.223 * [taylor]: Taking taylor expansion of f in f 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (/ 1 1) into 1 4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (+ 0 0) into 0 4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 4.226 * [backup-simplify]: Simplify (- 0) into 0 4.226 * [backup-simplify]: Simplify (+ 0 0) into 0 4.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 2))) 4.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 4.227 * [taylor]: Taking taylor expansion of 2 in f 4.227 * [backup-simplify]: Simplify 2 into 2 4.227 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 4.227 * [taylor]: Taking taylor expansion of (pow f 2) in f 4.227 * [taylor]: Taking taylor expansion of f in f 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 1 into 1 4.227 * [backup-simplify]: Simplify (* 1 1) into 1 4.227 * [backup-simplify]: Simplify (/ 1 1) into 1 4.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.229 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.231 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify (+ 0 0) into 0 4.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 4.234 * [backup-simplify]: Simplify (- 0) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (* 2 (/ 1 (pow f 2))) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 3))) 4.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 4.236 * [taylor]: Taking taylor expansion of 2 in f 4.236 * [backup-simplify]: Simplify 2 into 2 4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 4.236 * [taylor]: Taking taylor expansion of (pow f 3) in f 4.236 * [taylor]: Taking taylor expansion of f in f 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.237 * [backup-simplify]: Simplify (* 1 1) into 1 4.237 * [backup-simplify]: Simplify (* 1 1) into 1 4.237 * [backup-simplify]: Simplify (/ 1 1) into 1 4.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 1 into 1 4.246 * * * [progress]: simplifying candidates 4.254 * [simplify]: Simplifying: (expm1 (/ (- (+ n f)) (- f n))) (log1p (/ (- (+ n f)) (- f n))) (- (log (- (+ n f))) (log (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (/ (* (* (- (+ n f)) (- (+ n f))) (- (+ n f))) (* (* (- f n) (- f n)) (- 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 (- f n)) (/ (+ n f) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (* (cbrt (- f n)) (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)))) 1) (/ (cbrt (- (+ n f))) (- f n)) (/ (* (cbrt (- (+ n f))) 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n))) (/ (- (+ n f)) (- f n))))) (* (* (cbrt (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n)))) (cbrt (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))))) (cbrt (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))))) (sqrt (cbrt (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))))) (sqrt (cbrt (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))))) -1 1 1 -1 1 1 -1 1 1 (cbrt -1) (* -1 (cbrt -1)) 1 4.260 * * [simplify]: iteration 0: 167 enodes 4.288 * * [simplify]: iteration 1: 391 enodes 4.439 * * [simplify]: iteration 2: 1560 enodes 5.017 * * [simplify]: iteration complete: 5001 enodes 5.018 * * [simplify]: Extracting #0: cost 97 inf + 0 5.019 * * [simplify]: Extracting #1: cost 329 inf + 84 5.024 * * [simplify]: Extracting #2: cost 907 inf + 3618 5.048 * * [simplify]: Extracting #3: cost 1315 inf + 75086 5.122 * * [simplify]: Extracting #4: cost 388 inf + 357488 5.208 * * [simplify]: Extracting #5: cost 25 inf + 443163 5.303 * * [simplify]: Extracting #6: cost 5 inf + 446922 5.432 * * [simplify]: Extracting #7: cost 0 inf + 448187 5.539 * [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) (- n f) 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)) (sqrt (- f n))) (cbrt (- (- n) f))) (/ (cbrt (- (- n) f)) (sqrt (- f n))) (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (/ (cbrt (- (- n) f)) 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(- (- n) f) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (- n) f) (- (sqrt f) (sqrt n))) 1 (/ (- (- n) f) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (- n) f) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (- n) f) (sqrt (- f n))) 1 (/ (- (- n) f) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (- n) f) (- (sqrt f) (sqrt n))) 1 (/ (- (- n) f) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (- n) f)) (/ (+ f n) (- 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) (+ 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)) (/ (- (- n) f) (fma f (* f f) (* (* n n) (- n)))) (- (/ 1 (- f n))) (* (- f n) (fma n n (* f (- f n)))) (* (- f n) (- n f)) (expm1 (/ (- (- n) f) (- f n))) (log1p (/ (- (- n) f) (- f n))) (log (/ (- (- n) f) (- f n))) (exp (/ (- (- n) f) (- f n))) (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (cbrt (/ (- (- n) f) (- f n))) (- (- n) f) (- f n) (cbrt (- (* (/ (* (+ f n) (+ f n)) (- f n)) (+ f n)))) (cbrt (* (- f n) (- f n))) (cbrt (- (* (/ (* (+ f n) (+ f n)) (- f n)) (+ f n)))) (cbrt (* (- f n) (- f n))) (cbrt (* (/ (- (- n) f) (- f n)) (* (- (- n) f) (/ (- (- n) f) (- f n))))) (cbrt (- f n)) (cbrt (- (* (/ (* (+ f n) (+ f n)) (- f n)) (+ f n)))) (cbrt (* (- f n) (- f n))) (cbrt (* (/ (- (- n) f) (- f n)) (* (- (- n) f) (/ (- (- n) f) (- f n))))) (cbrt (- f n)) (cbrt (* (/ (- (- n) f) (- f n)) (* (- (- n) f) (/ (- (- n) f) (- f n))))) (cbrt (- 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))) -1 1 1 -1 1 1 -1 1 1 (cbrt -1) (* (cbrt -1) -1) 1 5.576 * * * [progress]: adding candidates to table 7.162 * * [progress]: iteration 4 / 4 7.162 * * * [progress]: picking best candidate 7.173 * * * * [pick]: Picked # 7.173 * * * [progress]: localizing error 7.211 * * * [progress]: generating rewritten candidates 7.211 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 7.238 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 7.283 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.442 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 7.657 * * * [progress]: generating series expansions 7.657 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 7.657 * [backup-simplify]: Simplify (/ (- (+ n f)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 7.657 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (n f) around 0 7.657 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.657 * [taylor]: Taking taylor expansion of -1 in f 7.657 * [backup-simplify]: Simplify -1 into -1 7.657 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.657 * [taylor]: Taking taylor expansion of (+ n f) in f 7.657 * [taylor]: Taking taylor expansion of n in f 7.657 * [backup-simplify]: Simplify n into n 7.657 * [taylor]: Taking taylor expansion of f in f 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [taylor]: Taking taylor expansion of (- f n) in f 7.657 * [taylor]: Taking taylor expansion of f in f 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [taylor]: Taking taylor expansion of n in f 7.657 * [backup-simplify]: Simplify n into n 7.657 * [backup-simplify]: Simplify (+ n 0) into n 7.657 * [backup-simplify]: Simplify (- n) into (- n) 7.657 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.657 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.657 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.657 * [taylor]: Taking taylor expansion of -1 in n 7.657 * [backup-simplify]: Simplify -1 into -1 7.657 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.657 * [taylor]: Taking taylor expansion of (+ n f) in n 7.657 * [taylor]: Taking taylor expansion of n in n 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [taylor]: Taking taylor expansion of f in n 7.657 * [backup-simplify]: Simplify f into f 7.657 * [taylor]: Taking taylor expansion of (- f n) in n 7.657 * [taylor]: Taking taylor expansion of f in n 7.657 * [backup-simplify]: Simplify f into f 7.657 * [taylor]: Taking taylor expansion of n in n 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [backup-simplify]: Simplify (+ 0 f) into f 7.658 * [backup-simplify]: Simplify (- 0) into 0 7.658 * [backup-simplify]: Simplify (+ f 0) into f 7.658 * [backup-simplify]: Simplify (/ f f) into 1 7.658 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.658 * [taylor]: Taking taylor expansion of -1 in n 7.658 * [backup-simplify]: Simplify -1 into -1 7.658 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.658 * [taylor]: Taking taylor expansion of (+ n f) in n 7.658 * [taylor]: Taking taylor expansion of n in n 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 1 into 1 7.658 * [taylor]: Taking taylor expansion of f in n 7.658 * [backup-simplify]: Simplify f into f 7.658 * [taylor]: Taking taylor expansion of (- f n) in n 7.658 * [taylor]: Taking taylor expansion of f in n 7.658 * [backup-simplify]: Simplify f into f 7.658 * [taylor]: Taking taylor expansion of n in n 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 1 into 1 7.658 * [backup-simplify]: Simplify (+ 0 f) into f 7.659 * [backup-simplify]: Simplify (- 0) into 0 7.659 * [backup-simplify]: Simplify (+ f 0) into f 7.659 * [backup-simplify]: Simplify (/ f f) into 1 7.659 * [backup-simplify]: Simplify (* -1 1) into -1 7.659 * [taylor]: Taking taylor expansion of -1 in f 7.659 * [backup-simplify]: Simplify -1 into -1 7.659 * [backup-simplify]: Simplify -1 into -1 7.666 * [backup-simplify]: Simplify (+ 1 0) into 1 7.667 * [backup-simplify]: Simplify (- 1) into -1 7.668 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.668 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 7.668 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 7.668 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 7.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 7.668 * [taylor]: Taking taylor expansion of 2 in f 7.668 * [backup-simplify]: Simplify 2 into 2 7.668 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.669 * [taylor]: Taking taylor expansion of f in f 7.669 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify (/ 1 1) into 1 7.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.671 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.671 * [backup-simplify]: Simplify (- 0) into 0 7.671 * [backup-simplify]: Simplify 0 into 0 7.671 * [backup-simplify]: Simplify 0 into 0 7.671 * [backup-simplify]: Simplify (+ 0 0) into 0 7.672 * [backup-simplify]: Simplify (- 0) into 0 7.672 * [backup-simplify]: Simplify (+ 0 0) into 0 7.673 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) 7.673 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1))) into (- (* 2 (/ 1 (pow f 2)))) 7.673 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f 7.673 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 7.673 * [taylor]: Taking taylor expansion of 2 in f 7.673 * [backup-simplify]: Simplify 2 into 2 7.673 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.673 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.674 * [taylor]: Taking taylor expansion of f in f 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 1 into 1 7.674 * [backup-simplify]: Simplify (* 1 1) into 1 7.674 * [backup-simplify]: Simplify (/ 1 1) into 1 7.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.679 * [backup-simplify]: Simplify (- 0) into 0 7.679 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.681 * [backup-simplify]: Simplify (- 0) into 0 7.681 * [backup-simplify]: Simplify 0 into 0 7.681 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify (+ 0 0) into 0 7.682 * [backup-simplify]: Simplify (- 0) into 0 7.683 * [backup-simplify]: Simplify (+ 0 0) into 0 7.683 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) 7.684 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 3)))) (+ (* 0 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1)))) into (- (* 2 (/ 1 (pow f 3)))) 7.684 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 7.684 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 7.684 * [taylor]: Taking taylor expansion of 2 in f 7.684 * [backup-simplify]: Simplify 2 into 2 7.684 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 7.684 * [taylor]: Taking taylor expansion of (pow f 3) in f 7.684 * [taylor]: Taking taylor expansion of f in f 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 1 into 1 7.685 * [backup-simplify]: Simplify (* 1 1) into 1 7.685 * [backup-simplify]: Simplify (* 1 1) into 1 7.685 * [backup-simplify]: Simplify (/ 1 1) into 1 7.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.695 * [backup-simplify]: Simplify (- 0) into 0 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify -1 into -1 7.695 * [backup-simplify]: Simplify (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.696 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (n f) around 0 7.696 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.696 * [taylor]: Taking taylor expansion of -1 in f 7.696 * [backup-simplify]: Simplify -1 into -1 7.696 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.696 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.696 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.696 * [taylor]: Taking taylor expansion of f in f 7.696 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify 1 into 1 7.696 * [backup-simplify]: Simplify (/ 1 1) into 1 7.696 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.696 * [taylor]: Taking taylor expansion of n in f 7.696 * [backup-simplify]: Simplify n into n 7.696 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.696 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.696 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.696 * [taylor]: Taking taylor expansion of f in f 7.696 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify 1 into 1 7.697 * [backup-simplify]: Simplify (/ 1 1) into 1 7.697 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.697 * [taylor]: Taking taylor expansion of n in f 7.697 * [backup-simplify]: Simplify n into n 7.697 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.697 * [backup-simplify]: Simplify (+ 1 0) into 1 7.698 * [backup-simplify]: Simplify (+ 1 0) into 1 7.698 * [backup-simplify]: Simplify (/ 1 1) into 1 7.698 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.698 * [taylor]: Taking taylor expansion of -1 in n 7.698 * [backup-simplify]: Simplify -1 into -1 7.698 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.698 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.698 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.698 * [taylor]: Taking taylor expansion of f in n 7.698 * [backup-simplify]: Simplify f into f 7.699 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.699 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.699 * [taylor]: Taking taylor expansion of n in n 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 1 into 1 7.699 * [backup-simplify]: Simplify (/ 1 1) into 1 7.699 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.699 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.699 * [taylor]: Taking taylor expansion of f in n 7.699 * [backup-simplify]: Simplify f into f 7.699 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.699 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.699 * [taylor]: Taking taylor expansion of n in n 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 1 into 1 7.700 * [backup-simplify]: Simplify (/ 1 1) into 1 7.700 * [backup-simplify]: Simplify (+ 0 1) into 1 7.700 * [backup-simplify]: Simplify (- 1) into -1 7.701 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.701 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.701 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.701 * [taylor]: Taking taylor expansion of -1 in n 7.701 * [backup-simplify]: Simplify -1 into -1 7.701 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.701 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.701 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.702 * [taylor]: Taking taylor expansion of f in n 7.702 * [backup-simplify]: Simplify f into f 7.702 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.702 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.702 * [taylor]: Taking taylor expansion of n in n 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 1 into 1 7.702 * [backup-simplify]: Simplify (/ 1 1) into 1 7.702 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.702 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.702 * [taylor]: Taking taylor expansion of f in n 7.702 * [backup-simplify]: Simplify f into f 7.702 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.702 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.702 * [taylor]: Taking taylor expansion of n in n 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 1 into 1 7.702 * [backup-simplify]: Simplify (/ 1 1) into 1 7.703 * [backup-simplify]: Simplify (+ 0 1) into 1 7.703 * [backup-simplify]: Simplify (- 1) into -1 7.703 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.703 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.704 * [backup-simplify]: Simplify (* -1 -1) into 1 7.704 * [taylor]: Taking taylor expansion of 1 in f 7.704 * [backup-simplify]: Simplify 1 into 1 7.704 * [backup-simplify]: Simplify 1 into 1 7.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.704 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.705 * [backup-simplify]: Simplify (- 0) into 0 7.705 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.705 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 7.706 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 7.706 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 7.706 * [taylor]: Taking taylor expansion of 2 in f 7.706 * [backup-simplify]: Simplify 2 into 2 7.706 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.706 * [taylor]: Taking taylor expansion of f in f 7.706 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify 1 into 1 7.706 * [backup-simplify]: Simplify (/ 1 1) into 1 7.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.707 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.708 * [backup-simplify]: Simplify (+ 0 0) into 0 7.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.709 * [backup-simplify]: Simplify (- 0) into 0 7.709 * [backup-simplify]: Simplify (+ 0 0) into 0 7.709 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) 7.710 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1))) into (* 2 (/ 1 (pow f 2))) 7.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 7.710 * [taylor]: Taking taylor expansion of 2 in f 7.710 * [backup-simplify]: Simplify 2 into 2 7.710 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.710 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.710 * [taylor]: Taking taylor expansion of f in f 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [backup-simplify]: Simplify (* 1 1) into 1 7.711 * [backup-simplify]: Simplify (/ 1 1) into 1 7.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.714 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.715 * [backup-simplify]: Simplify (+ 0 0) into 0 7.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.716 * [backup-simplify]: Simplify (- 0) into 0 7.716 * [backup-simplify]: Simplify (+ 0 0) into 0 7.717 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) 7.718 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 3))))) (+ (* 0 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1)))) into (* 2 (/ 1 (pow f 3))) 7.718 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 7.718 * [taylor]: Taking taylor expansion of 2 in f 7.718 * [backup-simplify]: Simplify 2 into 2 7.718 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 7.718 * [taylor]: Taking taylor expansion of (pow f 3) in f 7.718 * [taylor]: Taking taylor expansion of f in f 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify 1 into 1 7.718 * [backup-simplify]: Simplify (* 1 1) into 1 7.718 * [backup-simplify]: Simplify (* 1 1) into 1 7.719 * [backup-simplify]: Simplify (/ 1 1) into 1 7.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.723 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify 1 into 1 7.724 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.724 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (n f) around 0 7.724 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.724 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.724 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.724 * [taylor]: Taking taylor expansion of f in f 7.724 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify 1 into 1 7.724 * [backup-simplify]: Simplify (/ 1 1) into 1 7.724 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.724 * [taylor]: Taking taylor expansion of n in f 7.724 * [backup-simplify]: Simplify n into n 7.724 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.724 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.724 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.724 * [taylor]: Taking taylor expansion of n in f 7.724 * [backup-simplify]: Simplify n into n 7.724 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.724 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.724 * [taylor]: Taking taylor expansion of f in f 7.724 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify 1 into 1 7.725 * [backup-simplify]: Simplify (/ 1 1) into 1 7.725 * [backup-simplify]: Simplify (+ 1 0) into 1 7.725 * [backup-simplify]: Simplify (- 1) into -1 7.725 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.726 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.726 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.726 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.726 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.726 * [taylor]: Taking taylor expansion of f in n 7.726 * [backup-simplify]: Simplify f into f 7.726 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.726 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.726 * [taylor]: Taking taylor expansion of n in n 7.726 * [backup-simplify]: Simplify 0 into 0 7.726 * [backup-simplify]: Simplify 1 into 1 7.726 * [backup-simplify]: Simplify (/ 1 1) into 1 7.726 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.726 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.726 * [taylor]: Taking taylor expansion of n in n 7.726 * [backup-simplify]: Simplify 0 into 0 7.726 * [backup-simplify]: Simplify 1 into 1 7.726 * [backup-simplify]: Simplify (/ 1 1) into 1 7.726 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.726 * [taylor]: Taking taylor expansion of f in n 7.726 * [backup-simplify]: Simplify f into f 7.726 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.727 * [backup-simplify]: Simplify (+ 0 1) into 1 7.727 * [backup-simplify]: Simplify (+ 1 0) into 1 7.727 * [backup-simplify]: Simplify (/ 1 1) into 1 7.727 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.727 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.727 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.727 * [taylor]: Taking taylor expansion of f in n 7.727 * [backup-simplify]: Simplify f into f 7.727 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.727 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.727 * [taylor]: Taking taylor expansion of n in n 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (/ 1 1) into 1 7.728 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.728 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.728 * [taylor]: Taking taylor expansion of n in n 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (/ 1 1) into 1 7.728 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.728 * [taylor]: Taking taylor expansion of f in n 7.728 * [backup-simplify]: Simplify f into f 7.728 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.728 * [backup-simplify]: Simplify (+ 0 1) into 1 7.728 * [backup-simplify]: Simplify (+ 1 0) into 1 7.729 * [backup-simplify]: Simplify (/ 1 1) into 1 7.729 * [taylor]: Taking taylor expansion of 1 in f 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.729 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.730 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 7.730 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 7.730 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 7.730 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 7.730 * [taylor]: Taking taylor expansion of 2 in f 7.730 * [backup-simplify]: Simplify 2 into 2 7.730 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.730 * [taylor]: Taking taylor expansion of f in f 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [backup-simplify]: Simplify (/ 1 1) into 1 7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.731 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (+ 0 0) into 0 7.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.733 * [backup-simplify]: Simplify (- 0) into 0 7.733 * [backup-simplify]: Simplify (+ 0 0) into 0 7.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 2))) 7.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 7.734 * [taylor]: Taking taylor expansion of 2 in f 7.734 * [backup-simplify]: Simplify 2 into 2 7.734 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.734 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.734 * [taylor]: Taking taylor expansion of f in f 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify 1 into 1 7.734 * [backup-simplify]: Simplify (* 1 1) into 1 7.735 * [backup-simplify]: Simplify (/ 1 1) into 1 7.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.739 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.739 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.741 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.741 * [backup-simplify]: Simplify 0 into 0 7.742 * [backup-simplify]: Simplify 0 into 0 7.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.743 * [backup-simplify]: Simplify (+ 0 0) into 0 7.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.745 * [backup-simplify]: Simplify (- 0) into 0 7.745 * [backup-simplify]: Simplify (+ 0 0) into 0 7.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (* 2 (/ 1 (pow f 2))) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 3))) 7.747 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 7.747 * [taylor]: Taking taylor expansion of 2 in f 7.747 * [backup-simplify]: Simplify 2 into 2 7.747 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 7.747 * [taylor]: Taking taylor expansion of (pow f 3) in f 7.747 * [taylor]: Taking taylor expansion of f in f 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 1 into 1 7.748 * [backup-simplify]: Simplify (* 1 1) into 1 7.748 * [backup-simplify]: Simplify (* 1 1) into 1 7.748 * [backup-simplify]: Simplify (/ 1 1) into 1 7.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.758 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 7.758 * [backup-simplify]: Simplify (/ (- (+ n f)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 7.758 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (n f) around 0 7.758 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.758 * [taylor]: Taking taylor expansion of -1 in f 7.758 * [backup-simplify]: Simplify -1 into -1 7.758 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.758 * [taylor]: Taking taylor expansion of (+ n f) in f 7.758 * [taylor]: Taking taylor expansion of n in f 7.758 * [backup-simplify]: Simplify n into n 7.758 * [taylor]: Taking taylor expansion of f in f 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * [taylor]: Taking taylor expansion of (- f n) in f 7.758 * [taylor]: Taking taylor expansion of f in f 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * [taylor]: Taking taylor expansion of n in f 7.758 * [backup-simplify]: Simplify n into n 7.759 * [backup-simplify]: Simplify (+ n 0) into n 7.759 * [backup-simplify]: Simplify (- n) into (- n) 7.759 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.759 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.759 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.759 * [taylor]: Taking taylor expansion of -1 in n 7.759 * [backup-simplify]: Simplify -1 into -1 7.759 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.759 * [taylor]: Taking taylor expansion of (+ n f) in n 7.759 * [taylor]: Taking taylor expansion of n in n 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.759 * [taylor]: Taking taylor expansion of f in n 7.759 * [backup-simplify]: Simplify f into f 7.759 * [taylor]: Taking taylor expansion of (- f n) in n 7.759 * [taylor]: Taking taylor expansion of f in n 7.759 * [backup-simplify]: Simplify f into f 7.759 * [taylor]: Taking taylor expansion of n in n 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.759 * [backup-simplify]: Simplify (+ 0 f) into f 7.760 * [backup-simplify]: Simplify (- 0) into 0 7.760 * [backup-simplify]: Simplify (+ f 0) into f 7.760 * [backup-simplify]: Simplify (/ f f) into 1 7.760 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.760 * [taylor]: Taking taylor expansion of -1 in n 7.760 * [backup-simplify]: Simplify -1 into -1 7.760 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.760 * [taylor]: Taking taylor expansion of (+ n f) in n 7.760 * [taylor]: Taking taylor expansion of n in n 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify 1 into 1 7.760 * [taylor]: Taking taylor expansion of f in n 7.760 * [backup-simplify]: Simplify f into f 7.760 * [taylor]: Taking taylor expansion of (- f n) in n 7.760 * [taylor]: Taking taylor expansion of f in n 7.760 * [backup-simplify]: Simplify f into f 7.760 * [taylor]: Taking taylor expansion of n in n 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify 1 into 1 7.760 * [backup-simplify]: Simplify (+ 0 f) into f 7.761 * [backup-simplify]: Simplify (- 0) into 0 7.761 * [backup-simplify]: Simplify (+ f 0) into f 7.761 * [backup-simplify]: Simplify (/ f f) into 1 7.761 * [backup-simplify]: Simplify (* -1 1) into -1 7.762 * [taylor]: Taking taylor expansion of -1 in f 7.762 * [backup-simplify]: Simplify -1 into -1 7.762 * [backup-simplify]: Simplify -1 into -1 7.762 * [backup-simplify]: Simplify (+ 1 0) into 1 7.762 * [backup-simplify]: Simplify (- 1) into -1 7.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.763 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 7.764 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 7.764 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 7.764 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 7.764 * [taylor]: Taking taylor expansion of 2 in f 7.764 * [backup-simplify]: Simplify 2 into 2 7.764 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.764 * [taylor]: Taking taylor expansion of f in f 7.764 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify 1 into 1 7.764 * [backup-simplify]: Simplify (/ 1 1) into 1 7.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.766 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.766 * [backup-simplify]: Simplify (- 0) into 0 7.766 * [backup-simplify]: Simplify 0 into 0 7.766 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify (+ 0 0) into 0 7.767 * [backup-simplify]: Simplify (- 0) into 0 7.767 * [backup-simplify]: Simplify (+ 0 0) into 0 7.768 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) 7.769 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1))) into (- (* 2 (/ 1 (pow f 2)))) 7.769 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f 7.769 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 7.769 * [taylor]: Taking taylor expansion of 2 in f 7.769 * [backup-simplify]: Simplify 2 into 2 7.769 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.769 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.769 * [taylor]: Taking taylor expansion of f in f 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.770 * [backup-simplify]: Simplify (* 1 1) into 1 7.770 * [backup-simplify]: Simplify (/ 1 1) into 1 7.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.775 * [backup-simplify]: Simplify (- 0) into 0 7.775 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.777 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.777 * [backup-simplify]: Simplify (- 0) into 0 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify (+ 0 0) into 0 7.778 * [backup-simplify]: Simplify (- 0) into 0 7.778 * [backup-simplify]: Simplify (+ 0 0) into 0 7.779 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) 7.780 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow f 3)))) (+ (* 0 (* 2 (/ 1 (pow f 2)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1)))) into (- (* 2 (/ 1 (pow f 3)))) 7.780 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 7.780 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 7.780 * [taylor]: Taking taylor expansion of 2 in f 7.780 * [backup-simplify]: Simplify 2 into 2 7.780 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 7.780 * [taylor]: Taking taylor expansion of (pow f 3) in f 7.780 * [taylor]: Taking taylor expansion of f in f 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (* 1 1) into 1 7.781 * [backup-simplify]: Simplify (* 1 1) into 1 7.781 * [backup-simplify]: Simplify (/ 1 1) into 1 7.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.792 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.792 * [backup-simplify]: Simplify (- 0) into 0 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify -1 into -1 7.793 * [backup-simplify]: Simplify (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.793 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (n f) around 0 7.793 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.793 * [taylor]: Taking taylor expansion of -1 in f 7.793 * [backup-simplify]: Simplify -1 into -1 7.793 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.793 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.793 * [taylor]: Taking taylor expansion of f in f 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [backup-simplify]: Simplify (/ 1 1) into 1 7.793 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.793 * [taylor]: Taking taylor expansion of n in f 7.793 * [backup-simplify]: Simplify n into n 7.793 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.793 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.793 * [taylor]: Taking taylor expansion of f in f 7.793 * [backup-simplify]: Simplify 0 into 0 7.794 * [backup-simplify]: Simplify 1 into 1 7.794 * [backup-simplify]: Simplify (/ 1 1) into 1 7.794 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.794 * [taylor]: Taking taylor expansion of n in f 7.794 * [backup-simplify]: Simplify n into n 7.794 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.794 * [backup-simplify]: Simplify (+ 1 0) into 1 7.795 * [backup-simplify]: Simplify (+ 1 0) into 1 7.795 * [backup-simplify]: Simplify (/ 1 1) into 1 7.795 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.795 * [taylor]: Taking taylor expansion of -1 in n 7.795 * [backup-simplify]: Simplify -1 into -1 7.795 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.795 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.795 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.795 * [taylor]: Taking taylor expansion of f in n 7.796 * [backup-simplify]: Simplify f into f 7.796 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.796 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.796 * [taylor]: Taking taylor expansion of n in n 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify (/ 1 1) into 1 7.796 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.796 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.796 * [taylor]: Taking taylor expansion of f in n 7.796 * [backup-simplify]: Simplify f into f 7.796 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.796 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.796 * [taylor]: Taking taylor expansion of n in n 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify 1 into 1 7.797 * [backup-simplify]: Simplify (/ 1 1) into 1 7.797 * [backup-simplify]: Simplify (+ 0 1) into 1 7.797 * [backup-simplify]: Simplify (- 1) into -1 7.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.798 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.798 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.798 * [taylor]: Taking taylor expansion of -1 in n 7.798 * [backup-simplify]: Simplify -1 into -1 7.798 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.798 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.799 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.799 * [taylor]: Taking taylor expansion of f in n 7.799 * [backup-simplify]: Simplify f into f 7.799 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.799 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.799 * [taylor]: Taking taylor expansion of n in n 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (/ 1 1) into 1 7.799 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.799 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.799 * [taylor]: Taking taylor expansion of f in n 7.799 * [backup-simplify]: Simplify f into f 7.799 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.799 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.799 * [taylor]: Taking taylor expansion of n in n 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify 1 into 1 7.800 * [backup-simplify]: Simplify (/ 1 1) into 1 7.800 * [backup-simplify]: Simplify (+ 0 1) into 1 7.801 * [backup-simplify]: Simplify (- 1) into -1 7.801 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.802 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.802 * [backup-simplify]: Simplify (* -1 -1) into 1 7.802 * [taylor]: Taking taylor expansion of 1 in f 7.802 * [backup-simplify]: Simplify 1 into 1 7.802 * [backup-simplify]: Simplify 1 into 1 7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.803 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.804 * [backup-simplify]: Simplify (- 0) into 0 7.804 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.805 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 7.805 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 7.805 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 7.805 * [taylor]: Taking taylor expansion of 2 in f 7.805 * [backup-simplify]: Simplify 2 into 2 7.805 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.805 * [taylor]: Taking taylor expansion of f in f 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 1 into 1 7.806 * [backup-simplify]: Simplify (/ 1 1) into 1 7.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.807 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.809 * [backup-simplify]: Simplify (+ 0 0) into 0 7.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.810 * [backup-simplify]: Simplify (- 0) into 0 7.811 * [backup-simplify]: Simplify (+ 0 0) into 0 7.812 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) 7.813 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1))) into (* 2 (/ 1 (pow f 2))) 7.813 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 7.813 * [taylor]: Taking taylor expansion of 2 in f 7.813 * [backup-simplify]: Simplify 2 into 2 7.813 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.813 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.813 * [taylor]: Taking taylor expansion of f in f 7.813 * [backup-simplify]: Simplify 0 into 0 7.813 * [backup-simplify]: Simplify 1 into 1 7.814 * [backup-simplify]: Simplify (* 1 1) into 1 7.814 * [backup-simplify]: Simplify (/ 1 1) into 1 7.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.816 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.817 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.817 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.818 * [backup-simplify]: Simplify (+ 0 0) into 0 7.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.819 * [backup-simplify]: Simplify (- 0) into 0 7.819 * [backup-simplify]: Simplify (+ 0 0) into 0 7.821 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) 7.821 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 3))))) (+ (* 0 (- (* 2 (/ 1 (pow f 2))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1)))) into (* 2 (/ 1 (pow f 3))) 7.821 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 7.821 * [taylor]: Taking taylor expansion of 2 in f 7.821 * [backup-simplify]: Simplify 2 into 2 7.821 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 7.821 * [taylor]: Taking taylor expansion of (pow f 3) in f 7.821 * [taylor]: Taking taylor expansion of f in f 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 1 into 1 7.821 * [backup-simplify]: Simplify (* 1 1) into 1 7.822 * [backup-simplify]: Simplify (* 1 1) into 1 7.822 * [backup-simplify]: Simplify (/ 1 1) into 1 7.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.827 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify 1 into 1 7.827 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.827 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (n f) around 0 7.827 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.827 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.827 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.827 * [taylor]: Taking taylor expansion of f in f 7.827 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify 1 into 1 7.827 * [backup-simplify]: Simplify (/ 1 1) into 1 7.827 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.827 * [taylor]: Taking taylor expansion of n in f 7.827 * [backup-simplify]: Simplify n into n 7.828 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.828 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.828 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.828 * [taylor]: Taking taylor expansion of n in f 7.828 * [backup-simplify]: Simplify n into n 7.828 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.828 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.828 * [taylor]: Taking taylor expansion of f in f 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 1 into 1 7.828 * [backup-simplify]: Simplify (/ 1 1) into 1 7.828 * [backup-simplify]: Simplify (+ 1 0) into 1 7.828 * [backup-simplify]: Simplify (- 1) into -1 7.829 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.829 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.829 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.829 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.829 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.829 * [taylor]: Taking taylor expansion of f in n 7.829 * [backup-simplify]: Simplify f into f 7.829 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.829 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.829 * [taylor]: Taking taylor expansion of n in n 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.829 * [backup-simplify]: Simplify (/ 1 1) into 1 7.829 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.829 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.829 * [taylor]: Taking taylor expansion of n in n 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.830 * [backup-simplify]: Simplify (/ 1 1) into 1 7.830 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.830 * [taylor]: Taking taylor expansion of f in n 7.830 * [backup-simplify]: Simplify f into f 7.830 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.830 * [backup-simplify]: Simplify (+ 0 1) into 1 7.830 * [backup-simplify]: Simplify (+ 1 0) into 1 7.830 * [backup-simplify]: Simplify (/ 1 1) into 1 7.830 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.831 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.831 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.831 * [taylor]: Taking taylor expansion of f in n 7.831 * [backup-simplify]: Simplify f into f 7.831 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.831 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.831 * [taylor]: Taking taylor expansion of n in n 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 1 into 1 7.831 * [backup-simplify]: Simplify (/ 1 1) into 1 7.831 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.831 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.831 * [taylor]: Taking taylor expansion of n in n 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 1 into 1 7.831 * [backup-simplify]: Simplify (/ 1 1) into 1 7.831 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.831 * [taylor]: Taking taylor expansion of f in n 7.831 * [backup-simplify]: Simplify f into f 7.831 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.832 * [backup-simplify]: Simplify (+ 0 1) into 1 7.832 * [backup-simplify]: Simplify (+ 1 0) into 1 7.832 * [backup-simplify]: Simplify (/ 1 1) into 1 7.832 * [taylor]: Taking taylor expansion of 1 in f 7.832 * [backup-simplify]: Simplify 1 into 1 7.832 * [backup-simplify]: Simplify 1 into 1 7.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.833 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.833 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 7.833 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 7.833 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 7.833 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 7.833 * [taylor]: Taking taylor expansion of 2 in f 7.833 * [backup-simplify]: Simplify 2 into 2 7.833 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.833 * [taylor]: Taking taylor expansion of f in f 7.833 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify 1 into 1 7.834 * [backup-simplify]: Simplify (/ 1 1) into 1 7.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.835 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.835 * [backup-simplify]: Simplify (+ 0 0) into 0 7.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.836 * [backup-simplify]: Simplify (- 0) into 0 7.837 * [backup-simplify]: Simplify (+ 0 0) into 0 7.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 2))) 7.837 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 7.837 * [taylor]: Taking taylor expansion of 2 in f 7.837 * [backup-simplify]: Simplify 2 into 2 7.837 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.837 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.837 * [taylor]: Taking taylor expansion of f in f 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.838 * [backup-simplify]: Simplify (* 1 1) into 1 7.838 * [backup-simplify]: Simplify (/ 1 1) into 1 7.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.840 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.842 * [backup-simplify]: Simplify (+ 0 0) into 0 7.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.843 * [backup-simplify]: Simplify (- 0) into 0 7.843 * [backup-simplify]: Simplify (+ 0 0) into 0 7.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (* 2 (/ 1 (pow f 2))) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 3))) 7.845 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 7.845 * [taylor]: Taking taylor expansion of 2 in f 7.845 * [backup-simplify]: Simplify 2 into 2 7.845 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 7.845 * [taylor]: Taking taylor expansion of (pow f 3) in f 7.845 * [taylor]: Taking taylor expansion of f in f 7.845 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify 1 into 1 7.845 * [backup-simplify]: Simplify (* 1 1) into 1 7.845 * [backup-simplify]: Simplify (* 1 1) into 1 7.845 * [backup-simplify]: Simplify (/ 1 1) into 1 7.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.851 * [backup-simplify]: Simplify 0 into 0 7.851 * [backup-simplify]: Simplify 1 into 1 7.851 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.851 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ -1 (/ (- f n) (+ n f))))) into (/ (* (cbrt -1) (+ n f)) (- f n)) 7.851 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (n f) around 0 7.851 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 7.851 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 7.851 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.851 * [taylor]: Taking taylor expansion of -1 in f 7.851 * [backup-simplify]: Simplify -1 into -1 7.852 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.853 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.853 * [taylor]: Taking taylor expansion of (+ n f) in f 7.853 * [taylor]: Taking taylor expansion of n in f 7.853 * [backup-simplify]: Simplify n into n 7.853 * [taylor]: Taking taylor expansion of f in f 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 1 into 1 7.853 * [taylor]: Taking taylor expansion of (- f n) in f 7.853 * [taylor]: Taking taylor expansion of f in f 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 1 into 1 7.853 * [taylor]: Taking taylor expansion of n in f 7.853 * [backup-simplify]: Simplify n into n 7.853 * [backup-simplify]: Simplify (+ n 0) into n 7.853 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 7.853 * [backup-simplify]: Simplify (- n) into (- n) 7.853 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.854 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 7.854 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 7.854 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 7.854 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.854 * [taylor]: Taking taylor expansion of -1 in n 7.854 * [backup-simplify]: Simplify -1 into -1 7.854 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.855 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.855 * [taylor]: Taking taylor expansion of (+ n f) in n 7.855 * [taylor]: Taking taylor expansion of n in n 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [taylor]: Taking taylor expansion of f in n 7.855 * [backup-simplify]: Simplify f into f 7.855 * [taylor]: Taking taylor expansion of (- f n) in n 7.855 * [taylor]: Taking taylor expansion of f in n 7.855 * [backup-simplify]: Simplify f into f 7.855 * [taylor]: Taking taylor expansion of n in n 7.855 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify 1 into 1 7.856 * [backup-simplify]: Simplify (+ 0 f) into f 7.856 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 7.856 * [backup-simplify]: Simplify (- 0) into 0 7.856 * [backup-simplify]: Simplify (+ f 0) into f 7.857 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 7.857 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 7.857 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 7.857 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.857 * [taylor]: Taking taylor expansion of -1 in n 7.857 * [backup-simplify]: Simplify -1 into -1 7.857 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.858 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.858 * [taylor]: Taking taylor expansion of (+ n f) in n 7.858 * [taylor]: Taking taylor expansion of n in n 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.858 * [taylor]: Taking taylor expansion of f in n 7.858 * [backup-simplify]: Simplify f into f 7.858 * [taylor]: Taking taylor expansion of (- f n) in n 7.858 * [taylor]: Taking taylor expansion of f in n 7.858 * [backup-simplify]: Simplify f into f 7.858 * [taylor]: Taking taylor expansion of n in n 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.858 * [backup-simplify]: Simplify (+ 0 f) into f 7.859 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 7.859 * [backup-simplify]: Simplify (- 0) into 0 7.859 * [backup-simplify]: Simplify (+ f 0) into f 7.859 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 7.859 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.859 * [taylor]: Taking taylor expansion of -1 in f 7.859 * [backup-simplify]: Simplify -1 into -1 7.860 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.860 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.860 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.861 * [backup-simplify]: Simplify (+ 1 0) into 1 7.861 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 f)) into (cbrt -1) 7.862 * [backup-simplify]: Simplify (- 1) into -1 7.862 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.863 * [backup-simplify]: Simplify (- (/ (cbrt -1) f) (+ (* (cbrt -1) (/ -1 f)))) into (* 2 (/ (cbrt -1) f)) 7.863 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) f)) in f 7.863 * [taylor]: Taking taylor expansion of 2 in f 7.863 * [backup-simplify]: Simplify 2 into 2 7.863 * [taylor]: Taking taylor expansion of (/ (cbrt -1) f) in f 7.863 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.863 * [taylor]: Taking taylor expansion of -1 in f 7.863 * [backup-simplify]: Simplify -1 into -1 7.863 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.863 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.863 * [taylor]: Taking taylor expansion of f in f 7.863 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 1 into 1 7.864 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.865 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify (+ 0 0) into 0 7.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.867 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 f))) into 0 7.867 * [backup-simplify]: Simplify (- 0) into 0 7.867 * [backup-simplify]: Simplify (+ 0 0) into 0 7.868 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (cbrt -1) (/ 0 f)) (* (* 2 (/ (cbrt -1) f)) (/ -1 f)))) into (* 2 (/ (cbrt -1) (pow f 2))) 7.868 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow f 2))) in f 7.868 * [taylor]: Taking taylor expansion of 2 in f 7.868 * [backup-simplify]: Simplify 2 into 2 7.868 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow f 2)) in f 7.868 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.868 * [taylor]: Taking taylor expansion of -1 in f 7.868 * [backup-simplify]: Simplify -1 into -1 7.869 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.869 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.869 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.869 * [taylor]: Taking taylor expansion of f in f 7.869 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify 1 into 1 7.869 * [backup-simplify]: Simplify (* 1 1) into 1 7.870 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.873 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.873 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify (+ 0 0) into 0 7.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.878 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 f)))) into 0 7.879 * [backup-simplify]: Simplify (- 0) into 0 7.879 * [backup-simplify]: Simplify (+ 0 0) into 0 7.880 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (cbrt -1) (/ 0 f)) (* (* 2 (/ (cbrt -1) f)) (/ 0 f)) (* (* 2 (/ (cbrt -1) (pow f 2))) (/ -1 f)))) into (* 2 (/ (cbrt -1) (pow f 3))) 7.880 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow f 3))) in f 7.880 * [taylor]: Taking taylor expansion of 2 in f 7.880 * [backup-simplify]: Simplify 2 into 2 7.880 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow f 3)) in f 7.880 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.880 * [taylor]: Taking taylor expansion of -1 in f 7.880 * [backup-simplify]: Simplify -1 into -1 7.880 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.881 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.881 * [taylor]: Taking taylor expansion of (pow f 3) in f 7.881 * [taylor]: Taking taylor expansion of f in f 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify 1 into 1 7.881 * [backup-simplify]: Simplify (* 1 1) into 1 7.881 * [backup-simplify]: Simplify (* 1 1) into 1 7.882 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.895 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n)))) (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f)))))) into (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) 7.895 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in (n f) around 0 7.895 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in f 7.895 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in f 7.895 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.896 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.896 * [taylor]: Taking taylor expansion of f in f 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify 1 into 1 7.896 * [backup-simplify]: Simplify (/ 1 1) into 1 7.896 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.896 * [taylor]: Taking taylor expansion of n in f 7.896 * [backup-simplify]: Simplify n into n 7.896 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.896 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.896 * [taylor]: Taking taylor expansion of -1 in f 7.896 * [backup-simplify]: Simplify -1 into -1 7.897 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.897 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.897 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.897 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.897 * [taylor]: Taking taylor expansion of f in f 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 1 into 1 7.898 * [backup-simplify]: Simplify (/ 1 1) into 1 7.898 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.898 * [taylor]: Taking taylor expansion of n in f 7.898 * [backup-simplify]: Simplify n into n 7.898 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.899 * [backup-simplify]: Simplify (+ 1 0) into 1 7.899 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 7.900 * [backup-simplify]: Simplify (+ 1 0) into 1 7.901 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.901 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in n 7.901 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in n 7.901 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.901 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.901 * [taylor]: Taking taylor expansion of f in n 7.901 * [backup-simplify]: Simplify f into f 7.901 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.901 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.901 * [taylor]: Taking taylor expansion of n in n 7.901 * [backup-simplify]: Simplify 0 into 0 7.901 * [backup-simplify]: Simplify 1 into 1 7.901 * [backup-simplify]: Simplify (/ 1 1) into 1 7.901 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.902 * [taylor]: Taking taylor expansion of -1 in n 7.902 * [backup-simplify]: Simplify -1 into -1 7.902 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.903 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.903 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.903 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.903 * [taylor]: Taking taylor expansion of f in n 7.903 * [backup-simplify]: Simplify f into f 7.903 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.903 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.903 * [taylor]: Taking taylor expansion of n in n 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.903 * [backup-simplify]: Simplify (/ 1 1) into 1 7.904 * [backup-simplify]: Simplify (+ 0 1) into 1 7.904 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 7.905 * [backup-simplify]: Simplify (- 1) into -1 7.905 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.906 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 7.906 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) (- (/ 1 f) (/ 1 n))) in n 7.906 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (cbrt -1)) in n 7.906 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.906 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.906 * [taylor]: Taking taylor expansion of f in n 7.906 * [backup-simplify]: Simplify f into f 7.906 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.906 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.906 * [taylor]: Taking taylor expansion of n in n 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 1 into 1 7.907 * [backup-simplify]: Simplify (/ 1 1) into 1 7.907 * [taylor]: Taking taylor expansion of (cbrt -1) in n 7.907 * [taylor]: Taking taylor expansion of -1 in n 7.907 * [backup-simplify]: Simplify -1 into -1 7.907 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.908 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.908 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.908 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.908 * [taylor]: Taking taylor expansion of f in n 7.908 * [backup-simplify]: Simplify f into f 7.908 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.908 * [taylor]: Taking taylor expansion of n in n 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 1 into 1 7.909 * [backup-simplify]: Simplify (/ 1 1) into 1 7.909 * [backup-simplify]: Simplify (+ 0 1) into 1 7.910 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1) 7.910 * [backup-simplify]: Simplify (- 1) into -1 7.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.912 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 7.912 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in f 7.912 * [taylor]: Taking taylor expansion of -1 in f 7.912 * [backup-simplify]: Simplify -1 into -1 7.912 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.912 * [taylor]: Taking taylor expansion of -1 in f 7.912 * [backup-simplify]: Simplify -1 into -1 7.912 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.913 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.914 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 7.915 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 7.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.917 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 f) (cbrt -1))) into (/ (cbrt -1) f) 7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.918 * [backup-simplify]: Simplify (- 0) into 0 7.918 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.919 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) f) -1) (+ (* (* -1 (cbrt -1)) (/ (/ 1 f) -1)))) into (- (* 2 (/ (cbrt -1) f))) 7.920 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) f))) in f 7.920 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) f)) in f 7.920 * [taylor]: Taking taylor expansion of 2 in f 7.920 * [backup-simplify]: Simplify 2 into 2 7.920 * [taylor]: Taking taylor expansion of (/ (cbrt -1) f) in f 7.920 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.920 * [taylor]: Taking taylor expansion of -1 in f 7.920 * [backup-simplify]: Simplify -1 into -1 7.920 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.921 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.921 * [taylor]: Taking taylor expansion of f in f 7.921 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify 1 into 1 7.922 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 7.924 * [backup-simplify]: Simplify (- 0) into 0 7.924 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 7.925 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.928 * [backup-simplify]: Simplify (+ 0 0) into 0 7.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (* 0 (cbrt -1)))) into 0 7.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.931 * [backup-simplify]: Simplify (- 0) into 0 7.931 * [backup-simplify]: Simplify (+ 0 0) into 0 7.933 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (cbrt -1)) (/ 0 -1)) (* (- (* 2 (/ (cbrt -1) f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ (cbrt -1) (pow f 2)))) 7.933 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow f 2)))) in f 7.933 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow f 2))) in f 7.934 * [taylor]: Taking taylor expansion of 2 in f 7.934 * [backup-simplify]: Simplify 2 into 2 7.934 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow f 2)) in f 7.934 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.934 * [taylor]: Taking taylor expansion of -1 in f 7.934 * [backup-simplify]: Simplify -1 into -1 7.934 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.935 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.935 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.935 * [taylor]: Taking taylor expansion of f in f 7.935 * [backup-simplify]: Simplify 0 into 0 7.935 * [backup-simplify]: Simplify 1 into 1 7.935 * [backup-simplify]: Simplify (* 1 1) into 1 7.936 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.943 * [backup-simplify]: Simplify (- 0) into 0 7.944 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.948 * [backup-simplify]: Simplify (- 0) into 0 7.948 * [backup-simplify]: Simplify 0 into 0 7.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.951 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.953 * [backup-simplify]: Simplify (+ 0 0) into 0 7.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.956 * [backup-simplify]: Simplify (- 0) into 0 7.957 * [backup-simplify]: Simplify (+ 0 0) into 0 7.960 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (cbrt -1)) (/ 0 -1)) (* (- (* 2 (/ (cbrt -1) f))) (/ 0 -1)) (* (- (* 2 (/ (cbrt -1) (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ (cbrt -1) (pow f 3)))) 7.960 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow f 3)))) in f 7.960 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow f 3))) in f 7.960 * [taylor]: Taking taylor expansion of 2 in f 7.960 * [backup-simplify]: Simplify 2 into 2 7.960 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow f 3)) in f 7.960 * [taylor]: Taking taylor expansion of (cbrt -1) in f 7.960 * [taylor]: Taking taylor expansion of -1 in f 7.960 * [backup-simplify]: Simplify -1 into -1 7.961 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.964 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.964 * [taylor]: Taking taylor expansion of (pow f 3) in f 7.964 * [taylor]: Taking taylor expansion of f in f 7.964 * [backup-simplify]: Simplify 0 into 0 7.964 * [backup-simplify]: Simplify 1 into 1 7.964 * [backup-simplify]: Simplify (* 1 1) into 1 7.965 * [backup-simplify]: Simplify (* 1 1) into 1 7.966 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 7.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 7.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.980 * [backup-simplify]: Simplify (- 0) into 0 7.980 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 7.982 * [backup-simplify]: Simplify (cbrt (* (* (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.982 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (n f) around 0 7.982 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.982 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.982 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.982 * [taylor]: Taking taylor expansion of f in f 7.982 * [backup-simplify]: Simplify 0 into 0 7.982 * [backup-simplify]: Simplify 1 into 1 7.983 * [backup-simplify]: Simplify (/ 1 1) into 1 7.983 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.983 * [taylor]: Taking taylor expansion of n in f 7.983 * [backup-simplify]: Simplify n into n 7.983 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.983 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.983 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.983 * [taylor]: Taking taylor expansion of n in f 7.983 * [backup-simplify]: Simplify n into n 7.983 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.983 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.983 * [taylor]: Taking taylor expansion of f in f 7.983 * [backup-simplify]: Simplify 0 into 0 7.983 * [backup-simplify]: Simplify 1 into 1 7.984 * [backup-simplify]: Simplify (/ 1 1) into 1 7.984 * [backup-simplify]: Simplify (+ 1 0) into 1 7.985 * [backup-simplify]: Simplify (- 1) into -1 7.985 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.985 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.985 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.985 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.985 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.986 * [taylor]: Taking taylor expansion of f in n 7.986 * [backup-simplify]: Simplify f into f 7.986 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.986 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.986 * [taylor]: Taking taylor expansion of n in n 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 1 into 1 7.986 * [backup-simplify]: Simplify (/ 1 1) into 1 7.986 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.986 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.986 * [taylor]: Taking taylor expansion of n in n 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 1 into 1 7.987 * [backup-simplify]: Simplify (/ 1 1) into 1 7.987 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.987 * [taylor]: Taking taylor expansion of f in n 7.987 * [backup-simplify]: Simplify f into f 7.987 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.987 * [backup-simplify]: Simplify (+ 0 1) into 1 7.988 * [backup-simplify]: Simplify (+ 1 0) into 1 7.988 * [backup-simplify]: Simplify (/ 1 1) into 1 7.988 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.988 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.988 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.988 * [taylor]: Taking taylor expansion of f in n 7.988 * [backup-simplify]: Simplify f into f 7.988 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.988 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.988 * [taylor]: Taking taylor expansion of n in n 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 1 into 1 7.989 * [backup-simplify]: Simplify (/ 1 1) into 1 7.989 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.989 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.989 * [taylor]: Taking taylor expansion of n in n 7.989 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify 1 into 1 7.989 * [backup-simplify]: Simplify (/ 1 1) into 1 7.989 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.989 * [taylor]: Taking taylor expansion of f in n 7.989 * [backup-simplify]: Simplify f into f 7.989 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.990 * [backup-simplify]: Simplify (+ 0 1) into 1 7.990 * [backup-simplify]: Simplify (+ 1 0) into 1 7.991 * [backup-simplify]: Simplify (/ 1 1) into 1 7.991 * [taylor]: Taking taylor expansion of 1 in f 7.991 * [backup-simplify]: Simplify 1 into 1 7.991 * [backup-simplify]: Simplify 1 into 1 7.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.992 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.993 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 7.993 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 7.993 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 7.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 7.993 * [taylor]: Taking taylor expansion of 2 in f 7.993 * [backup-simplify]: Simplify 2 into 2 7.993 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.993 * [taylor]: Taking taylor expansion of f in f 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 1 into 1 7.993 * [backup-simplify]: Simplify (/ 1 1) into 1 7.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.995 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.996 * [backup-simplify]: Simplify (+ 0 0) into 0 7.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.998 * [backup-simplify]: Simplify (- 0) into 0 7.998 * [backup-simplify]: Simplify (+ 0 0) into 0 7.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 2))) 7.999 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f 7.999 * [taylor]: Taking taylor expansion of 2 in f 7.999 * [backup-simplify]: Simplify 2 into 2 7.999 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.000 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.000 * [taylor]: Taking taylor expansion of f in f 8.000 * [backup-simplify]: Simplify 0 into 0 8.000 * [backup-simplify]: Simplify 1 into 1 8.000 * [backup-simplify]: Simplify (* 1 1) into 1 8.000 * [backup-simplify]: Simplify (/ 1 1) into 1 8.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.004 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.004 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 8.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.008 * [backup-simplify]: Simplify (+ 0 0) into 0 8.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 8.009 * [backup-simplify]: Simplify (- 0) into 0 8.009 * [backup-simplify]: Simplify (+ 0 0) into 0 8.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (* 2 (/ 1 (pow f 2))) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 3))) 8.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 8.011 * [taylor]: Taking taylor expansion of 2 in f 8.011 * [backup-simplify]: Simplify 2 into 2 8.011 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 8.011 * [taylor]: Taking taylor expansion of (pow f 3) in f 8.011 * [taylor]: Taking taylor expansion of f in f 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 1 into 1 8.012 * [backup-simplify]: Simplify (* 1 1) into 1 8.012 * [backup-simplify]: Simplify (* 1 1) into 1 8.013 * [backup-simplify]: Simplify (/ 1 1) into 1 8.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 1 into 1 8.021 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.022 * [backup-simplify]: Simplify (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) into (/ (pow (+ n f) 2) (pow (- f n) 2)) 8.022 * [approximate]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in (n f) around 0 8.022 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in f 8.022 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 8.022 * [taylor]: Taking taylor expansion of (+ n f) in f 8.022 * [taylor]: Taking taylor expansion of n in f 8.022 * [backup-simplify]: Simplify n into n 8.022 * [taylor]: Taking taylor expansion of f in f 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [backup-simplify]: Simplify (+ n 0) into n 8.022 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 8.022 * [taylor]: Taking taylor expansion of (- f n) in f 8.022 * [taylor]: Taking taylor expansion of f in f 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [taylor]: Taking taylor expansion of n in f 8.022 * [backup-simplify]: Simplify n into n 8.023 * [backup-simplify]: Simplify (- n) into (- n) 8.023 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.023 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.023 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 8.023 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 8.023 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 8.023 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 8.023 * [taylor]: Taking taylor expansion of (+ n f) in n 8.023 * [taylor]: Taking taylor expansion of n in n 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [taylor]: Taking taylor expansion of f in n 8.023 * [backup-simplify]: Simplify f into f 8.023 * [backup-simplify]: Simplify (+ 0 f) into f 8.023 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 8.023 * [taylor]: Taking taylor expansion of (- f n) in n 8.023 * [taylor]: Taking taylor expansion of f in n 8.023 * [backup-simplify]: Simplify f into f 8.023 * [taylor]: Taking taylor expansion of n in n 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.024 * [backup-simplify]: Simplify (- 0) into 0 8.024 * [backup-simplify]: Simplify (+ f 0) into f 8.024 * [backup-simplify]: Simplify (* f f) into (pow f 2) 8.024 * [backup-simplify]: Simplify (* f f) into (pow f 2) 8.024 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 8.024 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (pow (- f n) 2)) in n 8.024 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 8.024 * [taylor]: Taking taylor expansion of (+ n f) in n 8.024 * [taylor]: Taking taylor expansion of n in n 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 1 into 1 8.024 * [taylor]: Taking taylor expansion of f in n 8.024 * [backup-simplify]: Simplify f into f 8.024 * [backup-simplify]: Simplify (+ 0 f) into f 8.025 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 8.025 * [taylor]: Taking taylor expansion of (- f n) in n 8.025 * [taylor]: Taking taylor expansion of f in n 8.025 * [backup-simplify]: Simplify f into f 8.025 * [taylor]: Taking taylor expansion of n in n 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify 1 into 1 8.025 * [backup-simplify]: Simplify (- 0) into 0 8.025 * [backup-simplify]: Simplify (+ f 0) into f 8.025 * [backup-simplify]: Simplify (* f f) into (pow f 2) 8.025 * [backup-simplify]: Simplify (* f f) into (pow f 2) 8.025 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 8.026 * [taylor]: Taking taylor expansion of 1 in f 8.026 * [backup-simplify]: Simplify 1 into 1 8.026 * [backup-simplify]: Simplify 1 into 1 8.026 * [backup-simplify]: Simplify (+ 1 0) into 1 8.026 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 8.026 * [backup-simplify]: Simplify (- 1) into -1 8.027 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.027 * [backup-simplify]: Simplify (+ (* f -1) (* -1 f)) into (- (* 2 f)) 8.027 * [backup-simplify]: Simplify (- (/ (* 2 f) (pow f 2)) (+ (* 1 (/ (- (* 2 f)) (pow f 2))))) into (* 4 (/ 1 f)) 8.027 * [taylor]: Taking taylor expansion of (* 4 (/ 1 f)) in f 8.027 * [taylor]: Taking taylor expansion of 4 in f 8.027 * [backup-simplify]: Simplify 4 into 4 8.028 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.028 * [taylor]: Taking taylor expansion of f in f 8.028 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify 1 into 1 8.028 * [backup-simplify]: Simplify (/ 1 1) into 1 8.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.029 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.029 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify (+ 0 0) into 0 8.030 * [backup-simplify]: Simplify (+ (* f 0) (+ (* 1 1) (* 0 f))) into 1 8.031 * [backup-simplify]: Simplify (- 0) into 0 8.031 * [backup-simplify]: Simplify (+ 0 0) into 0 8.032 * [backup-simplify]: Simplify (+ (* f 0) (+ (* -1 -1) (* 0 f))) into 1 8.033 * [backup-simplify]: Simplify (- (/ 1 (pow f 2)) (+ (* 1 (/ 1 (pow f 2))) (* (* 4 (/ 1 f)) (/ (- (* 2 f)) (pow f 2))))) into (* 8 (/ 1 (pow f 2))) 8.033 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow f 2))) in f 8.033 * [taylor]: Taking taylor expansion of 8 in f 8.033 * [backup-simplify]: Simplify 8 into 8 8.033 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.033 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.033 * [taylor]: Taking taylor expansion of f in f 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 1 into 1 8.033 * [backup-simplify]: Simplify (* 1 1) into 1 8.034 * [backup-simplify]: Simplify (/ 1 1) into 1 8.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.041 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 8.041 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.043 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.043 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify (+ 0 0) into 0 8.044 * [backup-simplify]: Simplify (+ (* f 0) (+ (* 1 0) (+ (* 0 1) (* 0 f)))) into 0 8.045 * [backup-simplify]: Simplify (- 0) into 0 8.045 * [backup-simplify]: Simplify (+ 0 0) into 0 8.046 * [backup-simplify]: Simplify (+ (* f 0) (+ (* -1 0) (+ (* 0 -1) (* 0 f)))) into 0 8.047 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* 1 (/ 0 (pow f 2))) (* (* 4 (/ 1 f)) (/ 1 (pow f 2))) (* (* 8 (/ 1 (pow f 2))) (/ (- (* 2 f)) (pow f 2))))) into (* 12 (/ 1 (pow f 3))) 8.047 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow f 3))) in f 8.047 * [taylor]: Taking taylor expansion of 12 in f 8.047 * [backup-simplify]: Simplify 12 into 12 8.047 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 8.047 * [taylor]: Taking taylor expansion of (pow f 3) in f 8.047 * [taylor]: Taking taylor expansion of f in f 8.047 * [backup-simplify]: Simplify 0 into 0 8.047 * [backup-simplify]: Simplify 1 into 1 8.048 * [backup-simplify]: Simplify (* 1 1) into 1 8.048 * [backup-simplify]: Simplify (* 1 1) into 1 8.048 * [backup-simplify]: Simplify (/ 1 1) into 1 8.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.057 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.057 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify 1 into 1 8.058 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n)))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) 8.058 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in (n f) around 0 8.058 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 8.058 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.058 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.058 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.058 * [taylor]: Taking taylor expansion of f in f 8.058 * [backup-simplify]: Simplify 0 into 0 8.058 * [backup-simplify]: Simplify 1 into 1 8.059 * [backup-simplify]: Simplify (/ 1 1) into 1 8.059 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.059 * [taylor]: Taking taylor expansion of n in f 8.059 * [backup-simplify]: Simplify n into n 8.059 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.059 * [backup-simplify]: Simplify (+ 1 0) into 1 8.059 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 8.059 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.059 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.059 * [taylor]: Taking taylor expansion of f in f 8.059 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify 1 into 1 8.060 * [backup-simplify]: Simplify (/ 1 1) into 1 8.060 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.060 * [taylor]: Taking taylor expansion of n in f 8.060 * [backup-simplify]: Simplify n into n 8.060 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.060 * [backup-simplify]: Simplify (+ 1 0) into 1 8.061 * [backup-simplify]: Simplify (* 1 1) into 1 8.061 * [backup-simplify]: Simplify (* 1 1) into 1 8.061 * [backup-simplify]: Simplify (/ 1 1) into 1 8.061 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 8.061 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 8.061 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.061 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.061 * [taylor]: Taking taylor expansion of f in n 8.061 * [backup-simplify]: Simplify f into f 8.061 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.061 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.062 * [taylor]: Taking taylor expansion of n in n 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify 1 into 1 8.062 * [backup-simplify]: Simplify (/ 1 1) into 1 8.062 * [backup-simplify]: Simplify (+ 0 1) into 1 8.062 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 8.062 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.062 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.062 * [taylor]: Taking taylor expansion of f in n 8.063 * [backup-simplify]: Simplify f into f 8.063 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.063 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.063 * [taylor]: Taking taylor expansion of n in n 8.063 * [backup-simplify]: Simplify 0 into 0 8.063 * [backup-simplify]: Simplify 1 into 1 8.063 * [backup-simplify]: Simplify (/ 1 1) into 1 8.063 * [backup-simplify]: Simplify (- 1) into -1 8.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.064 * [backup-simplify]: Simplify (* 1 1) into 1 8.065 * [backup-simplify]: Simplify (* -1 -1) into 1 8.065 * [backup-simplify]: Simplify (/ 1 1) into 1 8.065 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 8.065 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 8.065 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.065 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.065 * [taylor]: Taking taylor expansion of f in n 8.065 * [backup-simplify]: Simplify f into f 8.065 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.065 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.065 * [taylor]: Taking taylor expansion of n in n 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 1 into 1 8.066 * [backup-simplify]: Simplify (/ 1 1) into 1 8.066 * [backup-simplify]: Simplify (+ 0 1) into 1 8.066 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 8.066 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.066 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.066 * [taylor]: Taking taylor expansion of f in n 8.066 * [backup-simplify]: Simplify f into f 8.066 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.066 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.066 * [taylor]: Taking taylor expansion of n in n 8.067 * [backup-simplify]: Simplify 0 into 0 8.067 * [backup-simplify]: Simplify 1 into 1 8.067 * [backup-simplify]: Simplify (/ 1 1) into 1 8.067 * [backup-simplify]: Simplify (- 1) into -1 8.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.068 * [backup-simplify]: Simplify (* 1 1) into 1 8.068 * [backup-simplify]: Simplify (* -1 -1) into 1 8.069 * [backup-simplify]: Simplify (/ 1 1) into 1 8.069 * [taylor]: Taking taylor expansion of 1 in f 8.069 * [backup-simplify]: Simplify 1 into 1 8.069 * [backup-simplify]: Simplify 1 into 1 8.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.070 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.070 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 8.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.071 * [backup-simplify]: Simplify (- 0) into 0 8.071 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.071 * [backup-simplify]: Simplify (+ (* -1 (/ 1 f)) (* (/ 1 f) -1)) into (- (* 2 (/ 1 f))) 8.072 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 8.072 * [taylor]: Taking taylor expansion of (* 4 (/ 1 f)) in f 8.072 * [taylor]: Taking taylor expansion of 4 in f 8.072 * [backup-simplify]: Simplify 4 into 4 8.072 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.072 * [taylor]: Taking taylor expansion of f in f 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 1 into 1 8.073 * [backup-simplify]: Simplify (/ 1 1) into 1 8.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.074 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 8.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (+ 0 0) into 0 8.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 8.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 8.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (- 0) into 0 8.079 * [backup-simplify]: Simplify (+ 0 0) into 0 8.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 -1))) into (/ 1 (pow f 2)) 8.080 * [backup-simplify]: Simplify (- (/ (/ 1 (pow f 2)) 1) (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (* 4 (/ 1 f)) (/ (- (* 2 (/ 1 f))) 1)))) into (* 8 (/ 1 (pow f 2))) 8.081 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow f 2))) in f 8.081 * [taylor]: Taking taylor expansion of 8 in f 8.081 * [backup-simplify]: Simplify 8 into 8 8.081 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.081 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.081 * [taylor]: Taking taylor expansion of f in f 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify 1 into 1 8.081 * [backup-simplify]: Simplify (* 1 1) into 1 8.082 * [backup-simplify]: Simplify (/ 1 1) into 1 8.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.086 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 8.086 * [backup-simplify]: Simplify 0 into 0 8.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.088 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 8.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.089 * [backup-simplify]: Simplify (+ 0 0) into 0 8.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 (/ 1 f)) (* 0 1)))) into 0 8.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 8.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.092 * [backup-simplify]: Simplify (- 0) into 0 8.092 * [backup-simplify]: Simplify (+ 0 0) into 0 8.093 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 f) 0) (+ (* 0 (/ 1 f)) (* 0 -1)))) into 0 8.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 f)) (/ (/ 1 (pow f 2)) 1)) (* (* 8 (/ 1 (pow f 2))) (/ (- (* 2 (/ 1 f))) 1)))) into (* 12 (/ 1 (pow f 3))) 8.095 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow f 3))) in f 8.095 * [taylor]: Taking taylor expansion of 12 in f 8.095 * [backup-simplify]: Simplify 12 into 12 8.095 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 8.095 * [taylor]: Taking taylor expansion of (pow f 3) in f 8.095 * [taylor]: Taking taylor expansion of f in f 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify 1 into 1 8.095 * [backup-simplify]: Simplify (* 1 1) into 1 8.096 * [backup-simplify]: Simplify (* 1 1) into 1 8.096 * [backup-simplify]: Simplify (/ 1 1) into 1 8.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.104 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify 1 into 1 8.105 * [backup-simplify]: Simplify (* (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (- (+ (/ 1 (- n)) (/ 1 (- f)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) 8.105 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in (n f) around 0 8.105 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 8.105 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 8.105 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.105 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.105 * [taylor]: Taking taylor expansion of f in f 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 1 into 1 8.106 * [backup-simplify]: Simplify (/ 1 1) into 1 8.106 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.106 * [taylor]: Taking taylor expansion of n in f 8.106 * [backup-simplify]: Simplify n into n 8.106 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.106 * [backup-simplify]: Simplify (+ 1 0) into 1 8.106 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 8.106 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.107 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.107 * [taylor]: Taking taylor expansion of n in f 8.107 * [backup-simplify]: Simplify n into n 8.107 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.107 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.107 * [taylor]: Taking taylor expansion of f in f 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify 1 into 1 8.107 * [backup-simplify]: Simplify (/ 1 1) into 1 8.108 * [backup-simplify]: Simplify (- 1) into -1 8.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.108 * [backup-simplify]: Simplify (* 1 1) into 1 8.109 * [backup-simplify]: Simplify (* -1 -1) into 1 8.109 * [backup-simplify]: Simplify (/ 1 1) into 1 8.109 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 8.109 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 8.109 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.109 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.109 * [taylor]: Taking taylor expansion of f in n 8.109 * [backup-simplify]: Simplify f into f 8.109 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.109 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.109 * [taylor]: Taking taylor expansion of n in n 8.109 * [backup-simplify]: Simplify 0 into 0 8.109 * [backup-simplify]: Simplify 1 into 1 8.110 * [backup-simplify]: Simplify (/ 1 1) into 1 8.110 * [backup-simplify]: Simplify (+ 0 1) into 1 8.110 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 8.110 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.110 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.110 * [taylor]: Taking taylor expansion of n in n 8.110 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify 1 into 1 8.111 * [backup-simplify]: Simplify (/ 1 1) into 1 8.111 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.111 * [taylor]: Taking taylor expansion of f in n 8.111 * [backup-simplify]: Simplify f into f 8.111 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.111 * [backup-simplify]: Simplify (+ 1 0) into 1 8.112 * [backup-simplify]: Simplify (* 1 1) into 1 8.112 * [backup-simplify]: Simplify (* 1 1) into 1 8.112 * [backup-simplify]: Simplify (/ 1 1) into 1 8.112 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 8.112 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 8.112 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.112 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.112 * [taylor]: Taking taylor expansion of f in n 8.112 * [backup-simplify]: Simplify f into f 8.112 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.112 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.113 * [taylor]: Taking taylor expansion of n in n 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify 1 into 1 8.113 * [backup-simplify]: Simplify (/ 1 1) into 1 8.113 * [backup-simplify]: Simplify (+ 0 1) into 1 8.113 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 8.113 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.113 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.113 * [taylor]: Taking taylor expansion of n in n 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify 1 into 1 8.114 * [backup-simplify]: Simplify (/ 1 1) into 1 8.114 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.114 * [taylor]: Taking taylor expansion of f in n 8.114 * [backup-simplify]: Simplify f into f 8.114 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.114 * [backup-simplify]: Simplify (+ 1 0) into 1 8.115 * [backup-simplify]: Simplify (* 1 1) into 1 8.115 * [backup-simplify]: Simplify (* 1 1) into 1 8.115 * [backup-simplify]: Simplify (/ 1 1) into 1 8.116 * [taylor]: Taking taylor expansion of 1 in f 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.116 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.117 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 8.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.117 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 8.118 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 8.118 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 f))) (* (- (/ 1 f)) 1)) into (- (* 2 (/ 1 f))) 8.118 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 2 (/ 1 f))) 1)))) into (* 4 (/ 1 f)) 8.118 * [taylor]: Taking taylor expansion of (* 4 (/ 1 f)) in f 8.118 * [taylor]: Taking taylor expansion of 4 in f 8.118 * [backup-simplify]: Simplify 4 into 4 8.118 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.118 * [taylor]: Taking taylor expansion of f in f 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.119 * [backup-simplify]: Simplify (/ 1 1) into 1 8.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.120 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.120 * [backup-simplify]: Simplify 0 into 0 8.120 * [backup-simplify]: Simplify 0 into 0 8.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 8.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.122 * [backup-simplify]: Simplify (+ 0 0) into 0 8.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 8.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 8.124 * [backup-simplify]: Simplify (- 0) into 0 8.125 * [backup-simplify]: Simplify (+ 0 0) into 0 8.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 f)) (- (/ 1 f))) (* 0 1))) into (/ 1 (pow f 2)) 8.126 * [backup-simplify]: Simplify (- (/ (/ 1 (pow f 2)) 1) (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (* 4 (/ 1 f)) (/ (- (* 2 (/ 1 f))) 1)))) into (* 8 (/ 1 (pow f 2))) 8.126 * [taylor]: Taking taylor expansion of (* 8 (/ 1 (pow f 2))) in f 8.126 * [taylor]: Taking taylor expansion of 8 in f 8.126 * [backup-simplify]: Simplify 8 into 8 8.126 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 8.127 * [taylor]: Taking taylor expansion of (pow f 2) in f 8.127 * [taylor]: Taking taylor expansion of f in f 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify 1 into 1 8.127 * [backup-simplify]: Simplify (* 1 1) into 1 8.127 * [backup-simplify]: Simplify (/ 1 1) into 1 8.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.132 * [backup-simplify]: Simplify (+ (* 8 0) (+ (* 0 0) (* 0 1))) into 0 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.134 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 8.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.135 * [backup-simplify]: Simplify (+ 0 0) into 0 8.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 (/ 1 f)) (* 0 1)))) into 0 8.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 8.138 * [backup-simplify]: Simplify (- 0) into 0 8.138 * [backup-simplify]: Simplify (+ 0 0) into 0 8.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 f)) 0) (+ (* 0 (- (/ 1 f))) (* 0 1)))) into 0 8.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 4 (/ 1 f)) (/ (/ 1 (pow f 2)) 1)) (* (* 8 (/ 1 (pow f 2))) (/ (- (* 2 (/ 1 f))) 1)))) into (* 12 (/ 1 (pow f 3))) 8.141 * [taylor]: Taking taylor expansion of (* 12 (/ 1 (pow f 3))) in f 8.141 * [taylor]: Taking taylor expansion of 12 in f 8.141 * [backup-simplify]: Simplify 12 into 12 8.141 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 8.141 * [taylor]: Taking taylor expansion of (pow f 3) in f 8.141 * [taylor]: Taking taylor expansion of f in f 8.141 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify (* 1 1) into 1 8.142 * [backup-simplify]: Simplify (* 1 1) into 1 8.142 * [backup-simplify]: Simplify (/ 1 1) into 1 8.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.150 * [backup-simplify]: Simplify (+ (* 12 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.151 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify 1 into 1 8.151 * * * [progress]: simplifying candidates 8.159 * [simplify]: Simplifying: (expm1 (/ (- (+ n f)) (- f n))) (log1p (/ (- (+ n f)) (- f n))) (- (log (- (+ n f))) (log (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (/ (* (* (- (+ n f)) (- (+ n f))) (- (+ n f))) (* (* (- f n) (- f n)) (- 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 (/ 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f n)))) (- f n)) (* (- (/ (+ f n) (cbrt (- f n)))) (- (/ (+ f n) (- f n)))) (- (* (/ (+ f n) (sqrt (- f n))) (- (/ (+ f n) (- f n))))) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (* (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (- (+ f n))) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (* (- (/ (+ f n) (cbrt (- f n)))) (- (/ (+ f n) (- f n)))) (- (* (/ (+ f n) (sqrt (- f n))) (- (/ (+ f n) (- f n))))) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (* (/ (- (+ f n)) (- (sqrt f) (sqrt 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)) (- (* (fma f 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)) -1 1 1 -1 1 1 (cbrt -1) (- (cbrt -1)) 1 1 1 1 9.427 * * * [progress]: adding candidates to table 11.639 * [progress]: [Phase 3 of 3] Extracting. 11.639 * * [regime]: Finding splitpoints for: (# #) 11.640 * * * [regime-changes]: Trying 2 branch expressions: (n f) 11.641 * * * * [regimes]: Trying to branch on n from (# #) 11.690 * * * * [regimes]: Trying to branch on f from (# #) 11.748 * * * [regime]: Found split indices: #