0.505 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.124 * * * [progress]: [2/2] Setting up program. 0.130 * [progress]: [Phase 2 of 3] Improving. 0.131 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.133 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.134 * * [simplify]: iteration 0: 6 enodes 0.141 * * [simplify]: iteration 1: 13 enodes 0.146 * * [simplify]: iteration 2: 16 enodes 0.150 * * [simplify]: iteration 3: 20 enodes 0.156 * * [simplify]: iteration 4: 24 enodes 0.163 * * [simplify]: iteration 5: 29 enodes 0.171 * * [simplify]: iteration 6: 31 enodes 0.178 * * [simplify]: iteration complete: 31 enodes 0.179 * * [simplify]: Extracting #0: cost 1 inf + 0 0.180 * * [simplify]: Extracting #1: cost 9 inf + 0 0.180 * * [simplify]: Extracting #2: cost 14 inf + 0 0.180 * * [simplify]: Extracting #3: cost 11 inf + 43 0.181 * * [simplify]: Extracting #4: cost 2 inf + 860 0.181 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.182 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.185 * * [progress]: iteration 1 / 4 0.185 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.249 * * * [progress]: generating rewritten candidates 0.250 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.295 * * * [progress]: generating series expansions 0.296 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.302 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.303 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.304 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.304 * [taylor]: Taking taylor expansion of -1 in n 0.304 * [backup-simplify]: Simplify -1 into -1 0.304 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.304 * [taylor]: Taking taylor expansion of (+ n f) in n 0.304 * [taylor]: Taking taylor expansion of n in n 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of f in n 0.304 * [backup-simplify]: Simplify f into f 0.304 * [taylor]: Taking taylor expansion of (- f n) in n 0.304 * [taylor]: Taking taylor expansion of f in n 0.305 * [backup-simplify]: Simplify f into f 0.305 * [taylor]: Taking taylor expansion of n in n 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (+ 0 f) into f 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ f 0) into f 0.306 * [backup-simplify]: Simplify (/ f f) into 1 0.306 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.306 * [taylor]: Taking taylor expansion of -1 in f 0.306 * [backup-simplify]: Simplify -1 into -1 0.306 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.306 * [taylor]: Taking taylor expansion of (+ n f) in f 0.306 * [taylor]: Taking taylor expansion of n in f 0.306 * [backup-simplify]: Simplify n into n 0.306 * [taylor]: Taking taylor expansion of f in f 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of (- f n) in f 0.306 * [taylor]: Taking taylor expansion of f in f 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of n in f 0.306 * [backup-simplify]: Simplify n into n 0.307 * [backup-simplify]: Simplify (+ n 0) into n 0.307 * [backup-simplify]: Simplify (- n) into (- n) 0.307 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.307 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.307 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.307 * [taylor]: Taking taylor expansion of -1 in f 0.307 * [backup-simplify]: Simplify -1 into -1 0.307 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.307 * [taylor]: Taking taylor expansion of (+ n f) in f 0.307 * [taylor]: Taking taylor expansion of n in f 0.307 * [backup-simplify]: Simplify n into n 0.307 * [taylor]: Taking taylor expansion of f in f 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of (- f n) in f 0.307 * [taylor]: Taking taylor expansion of f in f 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of n in f 0.307 * [backup-simplify]: Simplify n into n 0.307 * [backup-simplify]: Simplify (+ n 0) into n 0.307 * [backup-simplify]: Simplify (- n) into (- n) 0.307 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.308 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.309 * [backup-simplify]: Simplify (* -1 -1) into 1 0.309 * [taylor]: Taking taylor expansion of 1 in n 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (+ 0 1) into 1 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.311 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.311 * [taylor]: Taking taylor expansion of 2 in n 0.311 * [backup-simplify]: Simplify 2 into 2 0.311 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.312 * [taylor]: Taking taylor expansion of n in n 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.316 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.316 * [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 0.317 * [taylor]: Taking taylor expansion of n in n 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [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 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [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)))) 0.325 * [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))) 0.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.325 * [taylor]: Taking taylor expansion of 2 in n 0.326 * [backup-simplify]: Simplify 2 into 2 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.326 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.332 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.332 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.332 * [taylor]: Taking taylor expansion of -1 in n 0.332 * [backup-simplify]: Simplify -1 into -1 0.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.332 * [taylor]: Taking taylor expansion of f in n 0.332 * [backup-simplify]: Simplify f into f 0.332 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.333 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.333 * [taylor]: Taking taylor expansion of f in n 0.333 * [backup-simplify]: Simplify f into f 0.333 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.333 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.333 * [taylor]: Taking taylor expansion of n in n 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 0.334 * [backup-simplify]: Simplify (+ 0 1) into 1 0.334 * [backup-simplify]: Simplify (- 1) into -1 0.334 * [backup-simplify]: Simplify (+ 0 -1) 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 0.335 * [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 * [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) 0.336 * [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 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.336 * [taylor]: Taking taylor expansion of -1 in f 0.336 * [backup-simplify]: Simplify -1 into -1 0.336 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.336 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.336 * [taylor]: Taking taylor expansion of f in f 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.337 * [taylor]: Taking taylor expansion of n in f 0.337 * [backup-simplify]: Simplify n into n 0.337 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.337 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.337 * [taylor]: Taking taylor expansion of f in f 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.337 * [taylor]: Taking taylor expansion of n in f 0.337 * [backup-simplify]: Simplify n into n 0.337 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.337 * [backup-simplify]: Simplify (+ 1 0) into 1 0.338 * [backup-simplify]: Simplify (+ 1 0) into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify (* -1 1) into -1 0.338 * [taylor]: Taking taylor expansion of -1 in n 0.338 * [backup-simplify]: Simplify -1 into -1 0.338 * [backup-simplify]: Simplify -1 into -1 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.339 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.339 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.340 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.340 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.340 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.340 * [taylor]: Taking taylor expansion of 2 in n 0.340 * [backup-simplify]: Simplify 2 into 2 0.340 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.340 * [taylor]: Taking taylor expansion of n in n 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.344 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.344 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.344 * [taylor]: Taking taylor expansion of 2 in n 0.344 * [backup-simplify]: Simplify 2 into 2 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.344 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [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))) 0.359 * [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)))) 0.359 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.359 * [taylor]: Taking taylor expansion of 2 in n 0.359 * [backup-simplify]: Simplify 2 into 2 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.359 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.359 * [taylor]: Taking taylor expansion of n in n 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 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify -1 into -1 0.369 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.369 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.369 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.369 * [taylor]: Taking taylor expansion of f in n 0.369 * [backup-simplify]: Simplify f into f 0.370 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.370 * [taylor]: Taking taylor expansion of n in n 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.370 * [taylor]: Taking taylor expansion of n in n 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.371 * [taylor]: Taking taylor expansion of f in n 0.371 * [backup-simplify]: Simplify f into f 0.371 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.371 * [backup-simplify]: Simplify (+ 0 1) into 1 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.372 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.372 * [taylor]: Taking taylor expansion of f in f 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.373 * [taylor]: Taking taylor expansion of n in f 0.373 * [backup-simplify]: Simplify n into n 0.373 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.373 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.373 * [taylor]: Taking taylor expansion of n in f 0.373 * [backup-simplify]: Simplify n into n 0.373 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.373 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.373 * [taylor]: Taking taylor expansion of f in f 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [backup-simplify]: Simplify (+ 1 0) into 1 0.374 * [backup-simplify]: Simplify (- 1) into -1 0.375 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.375 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.375 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.375 * [taylor]: Taking taylor expansion of f in f 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.376 * [taylor]: Taking taylor expansion of n in f 0.376 * [backup-simplify]: Simplify n into n 0.376 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.376 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.376 * [taylor]: Taking taylor expansion of n in f 0.376 * [backup-simplify]: Simplify n into n 0.376 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.376 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.376 * [taylor]: Taking taylor expansion of f in f 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [backup-simplify]: Simplify (+ 1 0) into 1 0.377 * [backup-simplify]: Simplify (- 1) into -1 0.378 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.378 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.378 * [taylor]: Taking taylor expansion of -1 in n 0.378 * [backup-simplify]: Simplify -1 into -1 0.378 * [backup-simplify]: Simplify -1 into -1 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.380 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.380 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.380 * [taylor]: Taking taylor expansion of 2 in n 0.381 * [backup-simplify]: Simplify 2 into 2 0.381 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.381 * [taylor]: Taking taylor expansion of n in n 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ (* 2 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 0 into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.388 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.388 * [taylor]: Taking taylor expansion of 2 in n 0.388 * [backup-simplify]: Simplify 2 into 2 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.388 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.397 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [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)))) 0.402 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.402 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.402 * [taylor]: Taking taylor expansion of 2 in n 0.402 * [backup-simplify]: Simplify 2 into 2 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.402 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.402 * [taylor]: Taking taylor expansion of n in n 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify -1 into -1 0.413 * * * [progress]: simplifying candidates 0.413 * * * * [progress]: [ 1 / 99 ] simplifiying candidate # 0.413 * * * * [progress]: [ 2 / 99 ] simplifiying candidate # 0.413 * * * * [progress]: [ 3 / 99 ] simplifiying candidate # 0.413 * * * * [progress]: [ 4 / 99 ] simplifiying candidate # 0.413 * * * * [progress]: [ 5 / 99 ] simplifiying candidate # 0.413 * * * * [progress]: [ 6 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 7 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 8 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 9 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 10 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 11 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 12 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 13 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 14 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 15 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 16 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 17 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 18 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 19 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 20 / 99 ] simplifiying candidate # 0.414 * * * * [progress]: [ 21 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 22 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 23 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 24 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 25 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 26 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 27 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 28 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 29 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 30 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 31 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 32 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 33 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 34 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 35 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 36 / 99 ] simplifiying candidate # 0.415 * * * * [progress]: [ 37 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 38 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 39 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 40 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 41 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 42 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 43 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 44 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 45 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 46 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 47 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 48 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 49 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 50 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 51 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 52 / 99 ] simplifiying candidate # 0.416 * * * * [progress]: [ 53 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 54 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 55 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 56 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 57 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 58 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 59 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 60 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 61 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 62 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 63 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 64 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 65 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 66 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 67 / 99 ] simplifiying candidate # 0.417 * * * * [progress]: [ 68 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 69 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 70 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 71 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 72 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 73 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 74 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 75 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 76 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 77 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 78 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 79 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 80 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 81 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 82 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 83 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 84 / 99 ] simplifiying candidate # 0.418 * * * * [progress]: [ 85 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 86 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 87 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 88 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 89 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 90 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 91 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 92 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 93 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 94 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 95 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 96 / 99 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.419 * * * * [progress]: [ 97 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 98 / 99 ] simplifiying candidate # 0.419 * * * * [progress]: [ 99 / 99 ] simplifiying candidate # 0.422 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) 1 -1 -1 0.425 * * [simplify]: iteration 0: 134 enodes 0.484 * * [simplify]: iteration 1: 312 enodes 0.550 * * [simplify]: iteration 2: 699 enodes 0.795 * * [simplify]: iteration 3: 2205 enodes 1.739 * * [simplify]: iteration complete: 5001 enodes 1.739 * * [simplify]: Extracting #0: cost 87 inf + 0 1.741 * * [simplify]: Extracting #1: cost 447 inf + 3 1.748 * * [simplify]: Extracting #2: cost 1057 inf + 7951 1.793 * * [simplify]: Extracting #3: cost 983 inf + 102203 1.877 * * [simplify]: Extracting #4: cost 354 inf + 243278 1.950 * * [simplify]: Extracting #5: cost 80 inf + 304677 2.052 * * [simplify]: Extracting #6: cost 45 inf + 315781 2.161 * * [simplify]: Extracting #7: cost 9 inf + 322557 2.240 * * [simplify]: Extracting #8: cost 0 inf + 324834 2.340 * [simplify]: Simplified to: (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ n f) (- (- f n)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (* (/ (cbrt (- (+ n f))) (sqrt (- f n))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n)))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f)))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (cbrt (- f n))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (/ (- (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* (* f f) f) (* n (* n n)))) (/ -1 (- f n)) (* (+ (* (- n f) n) (* f f)) (- f n)) (* (- f n) (- f n)) (real->posit16 (/ (- (+ n f)) (- f n))) 1 -1 -1 2.346 * * * [progress]: adding candidates to table 2.688 * * [progress]: iteration 2 / 4 2.688 * * * [progress]: picking best candidate 2.697 * * * * [pick]: Picked # 2.697 * * * [progress]: localizing error 2.722 * * * [progress]: generating rewritten candidates 2.722 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.767 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 2.775 * * * [progress]: generating series expansions 2.775 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.775 * [backup-simplify]: Simplify (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) into (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) 2.775 * [approximate]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in (f n) around 0 2.775 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in n 2.775 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in n 2.775 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.775 * [taylor]: Taking taylor expansion of n in n 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [taylor]: Taking taylor expansion of (pow f 2) in n 2.775 * [taylor]: Taking taylor expansion of f in n 2.775 * [backup-simplify]: Simplify f into f 2.775 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 2.775 * [taylor]: Taking taylor expansion of (- f n) in n 2.775 * [taylor]: Taking taylor expansion of f in n 2.776 * [backup-simplify]: Simplify f into f 2.776 * [taylor]: Taking taylor expansion of n in n 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [backup-simplify]: Simplify (- 0) into 0 2.776 * [backup-simplify]: Simplify (+ f 0) into f 2.776 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.776 * [backup-simplify]: Simplify (- (pow f 2)) into (- (pow f 2)) 2.776 * [backup-simplify]: Simplify (+ 0 (- (pow f 2))) into (- (pow f 2)) 2.776 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.776 * [backup-simplify]: Simplify (/ (- (pow f 2)) (pow f 2)) into -1 2.776 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 2.776 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 2.776 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.776 * [taylor]: Taking taylor expansion of n in f 2.777 * [backup-simplify]: Simplify n into n 2.777 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.777 * [taylor]: Taking taylor expansion of f in f 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 2.777 * [taylor]: Taking taylor expansion of (- f n) in f 2.777 * [taylor]: Taking taylor expansion of f in f 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [taylor]: Taking taylor expansion of n in f 2.777 * [backup-simplify]: Simplify n into n 2.777 * [backup-simplify]: Simplify (- n) into (- n) 2.777 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.777 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.777 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 2.777 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 2.777 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 2.777 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 2.777 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 2.777 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.777 * [taylor]: Taking taylor expansion of n in f 2.777 * [backup-simplify]: Simplify n into n 2.777 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.777 * [taylor]: Taking taylor expansion of f in f 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 2.777 * [taylor]: Taking taylor expansion of (- f n) in f 2.777 * [taylor]: Taking taylor expansion of f in f 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [taylor]: Taking taylor expansion of n in f 2.777 * [backup-simplify]: Simplify n into n 2.777 * [backup-simplify]: Simplify (- n) into (- n) 2.777 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.777 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.777 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 2.777 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 2.777 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 2.777 * [taylor]: Taking taylor expansion of 1 in n 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 2.778 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [backup-simplify]: Simplify (- 0) into 0 2.778 * [backup-simplify]: Simplify (+ 1 0) into 1 2.779 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 2.779 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 n)) 2.779 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.779 * [taylor]: Taking taylor expansion of 2 in n 2.779 * [backup-simplify]: Simplify 2 into 2 2.779 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.779 * [taylor]: Taking taylor expansion of n in n 2.779 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (/ 1 1) into 1 2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 2.781 * [backup-simplify]: Simplify (* 1 1) into 1 2.781 * [backup-simplify]: Simplify (- 1) into -1 2.781 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.782 * [backup-simplify]: Simplify (- 0) into 0 2.782 * [backup-simplify]: Simplify (+ 0 0) into 0 2.782 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 2.782 * [backup-simplify]: Simplify (- (/ -1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 2 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 2.782 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.782 * [taylor]: Taking taylor expansion of 2 in n 2.782 * [backup-simplify]: Simplify 2 into 2 2.782 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.782 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.782 * [taylor]: Taking taylor expansion of n in n 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify 1 into 1 2.783 * [backup-simplify]: Simplify (* 1 1) into 1 2.783 * [backup-simplify]: Simplify (/ 1 1) into 1 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.785 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.785 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 2.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.788 * [backup-simplify]: Simplify (- 0) into 0 2.788 * [backup-simplify]: Simplify (+ 0 0) into 0 2.788 * [backup-simplify]: Simplify (- 0) into 0 2.788 * [backup-simplify]: Simplify (+ 0 0) into 0 2.789 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 2.789 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 2 (/ 1 n)) (/ 1 (pow n 2))) (* (* 2 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 3))) 2.789 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.789 * [taylor]: Taking taylor expansion of 2 in n 2.789 * [backup-simplify]: Simplify 2 into 2 2.789 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.789 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.789 * [taylor]: Taking taylor expansion of n in n 2.789 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.790 * [backup-simplify]: Simplify (* 1 1) into 1 2.790 * [backup-simplify]: Simplify (* 1 1) into 1 2.790 * [backup-simplify]: Simplify (/ 1 1) into 1 2.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.796 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n)))) (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) 2.796 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 2.796 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 2.796 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.796 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.796 * [taylor]: Taking taylor expansion of n in n 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify (* 1 1) into 1 2.797 * [backup-simplify]: Simplify (/ 1 1) into 1 2.797 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 2.797 * [taylor]: Taking taylor expansion of (pow f 2) in n 2.797 * [taylor]: Taking taylor expansion of f in n 2.797 * [backup-simplify]: Simplify f into f 2.797 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.797 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 2.797 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 2.797 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.797 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.797 * [taylor]: Taking taylor expansion of f in n 2.797 * [backup-simplify]: Simplify f into f 2.797 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.797 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.797 * [taylor]: Taking taylor expansion of n in n 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (/ 1 1) into 1 2.797 * [backup-simplify]: Simplify (- 1) into -1 2.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.798 * [backup-simplify]: Simplify (+ 1 0) into 1 2.798 * [backup-simplify]: Simplify (* -1 -1) into 1 2.798 * [backup-simplify]: Simplify (/ 1 1) into 1 2.798 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 2.798 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 2.798 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 2.799 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.799 * [taylor]: Taking taylor expansion of n in f 2.799 * [backup-simplify]: Simplify n into n 2.799 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.799 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 2.799 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.799 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.799 * [taylor]: Taking taylor expansion of f in f 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [backup-simplify]: Simplify (* 1 1) into 1 2.799 * [backup-simplify]: Simplify (/ 1 1) into 1 2.799 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 2.799 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.799 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.799 * [taylor]: Taking taylor expansion of f in f 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (/ 1 1) into 1 2.800 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.800 * [taylor]: Taking taylor expansion of n in f 2.800 * [backup-simplify]: Simplify n into n 2.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.800 * [backup-simplify]: Simplify (+ 1 0) into 1 2.800 * [backup-simplify]: Simplify (- 1) into -1 2.800 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.801 * [backup-simplify]: Simplify (* 1 1) into 1 2.801 * [backup-simplify]: Simplify (/ -1 1) into -1 2.801 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 2.801 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 2.801 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.801 * [taylor]: Taking taylor expansion of n in f 2.801 * [backup-simplify]: Simplify n into n 2.801 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.801 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.801 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.801 * [taylor]: Taking taylor expansion of f in f 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (* 1 1) into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.802 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 2.802 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.802 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.802 * [taylor]: Taking taylor expansion of f in f 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.802 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.802 * [taylor]: Taking taylor expansion of n in f 2.802 * [backup-simplify]: Simplify n into n 2.802 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.803 * [backup-simplify]: Simplify (+ 1 0) into 1 2.803 * [backup-simplify]: Simplify (- 1) into -1 2.803 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.804 * [backup-simplify]: Simplify (* 1 1) into 1 2.804 * [backup-simplify]: Simplify (/ -1 1) into -1 2.804 * [taylor]: Taking taylor expansion of -1 in n 2.804 * [backup-simplify]: Simplify -1 into -1 2.804 * [backup-simplify]: Simplify -1 into -1 2.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify (- 0) into 0 2.805 * [backup-simplify]: Simplify (+ 0 0) into 0 2.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.806 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.806 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.806 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 2.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 2.806 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.806 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.806 * [taylor]: Taking taylor expansion of 2 in n 2.806 * [backup-simplify]: Simplify 2 into 2 2.806 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.806 * [taylor]: Taking taylor expansion of n in n 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (/ 1 1) into 1 2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.808 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.808 * [backup-simplify]: Simplify (- 0) into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (- 0) into 0 2.809 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.810 * [backup-simplify]: Simplify (- 0) into 0 2.810 * [backup-simplify]: Simplify (+ 0 0) into 0 2.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 2.811 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.811 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.811 * [taylor]: Taking taylor expansion of 2 in n 2.811 * [backup-simplify]: Simplify 2 into 2 2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.811 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.811 * [taylor]: Taking taylor expansion of n in n 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (* 1 1) into 1 2.812 * [backup-simplify]: Simplify (/ 1 1) into 1 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.815 * [backup-simplify]: Simplify (- 0) into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.816 * [backup-simplify]: Simplify (- 0) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 2.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (- 0) into 0 2.818 * [backup-simplify]: Simplify (+ 0 0) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.823 * [backup-simplify]: Simplify (- 0) into 0 2.823 * [backup-simplify]: Simplify (+ 0 0) into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.825 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.825 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.825 * [taylor]: Taking taylor expansion of 2 in n 2.826 * [backup-simplify]: Simplify 2 into 2 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.826 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.826 * [taylor]: Taking taylor expansion of n in n 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (* 1 1) into 1 2.826 * [backup-simplify]: Simplify (* 1 1) into 1 2.827 * [backup-simplify]: Simplify (/ 1 1) into 1 2.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (- 0) into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify -1 into -1 2.833 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n))))) (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) 2.833 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 2.833 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 2.833 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.833 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.833 * [taylor]: Taking taylor expansion of n in n 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (* 1 1) into 1 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.834 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 2.834 * [taylor]: Taking taylor expansion of (pow f 2) in n 2.834 * [taylor]: Taking taylor expansion of f in n 2.834 * [backup-simplify]: Simplify f into f 2.834 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.834 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 2.834 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 2.834 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.834 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.834 * [taylor]: Taking taylor expansion of n in n 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.835 * [taylor]: Taking taylor expansion of f in n 2.835 * [backup-simplify]: Simplify f into f 2.835 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.835 * [backup-simplify]: Simplify (+ 1 0) into 1 2.835 * [backup-simplify]: Simplify (+ 1 0) into 1 2.835 * [backup-simplify]: Simplify (* 1 1) into 1 2.836 * [backup-simplify]: Simplify (/ 1 1) into 1 2.836 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 2.836 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 2.836 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.836 * [taylor]: Taking taylor expansion of n in f 2.836 * [backup-simplify]: Simplify n into n 2.836 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.836 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.836 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.836 * [taylor]: Taking taylor expansion of f in f 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (* 1 1) into 1 2.836 * [backup-simplify]: Simplify (/ 1 1) into 1 2.836 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 2.836 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.836 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.836 * [taylor]: Taking taylor expansion of n in f 2.837 * [backup-simplify]: Simplify n into n 2.837 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.837 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.837 * [taylor]: Taking taylor expansion of f in f 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [backup-simplify]: Simplify (- 1) into -1 2.837 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.838 * [backup-simplify]: Simplify (- 1) into -1 2.838 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.838 * [backup-simplify]: Simplify (* -1 -1) into 1 2.839 * [backup-simplify]: Simplify (/ -1 1) into -1 2.839 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 2.839 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 2.839 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 2.839 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.839 * [taylor]: Taking taylor expansion of n in f 2.839 * [backup-simplify]: Simplify n into n 2.839 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.839 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 2.839 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.839 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.839 * [taylor]: Taking taylor expansion of f in f 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (* 1 1) into 1 2.840 * [backup-simplify]: Simplify (/ 1 1) into 1 2.840 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 2.840 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.840 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.840 * [taylor]: Taking taylor expansion of n in f 2.840 * [backup-simplify]: Simplify n into n 2.840 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.840 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.840 * [taylor]: Taking taylor expansion of f in f 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (/ 1 1) into 1 2.840 * [backup-simplify]: Simplify (- 1) into -1 2.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.841 * [backup-simplify]: Simplify (- 1) into -1 2.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.841 * [backup-simplify]: Simplify (* -1 -1) into 1 2.842 * [backup-simplify]: Simplify (/ -1 1) into -1 2.842 * [taylor]: Taking taylor expansion of -1 in n 2.842 * [backup-simplify]: Simplify -1 into -1 2.842 * [backup-simplify]: Simplify -1 into -1 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (- 0) into 0 2.843 * [backup-simplify]: Simplify (+ 0 0) into 0 2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify (- 0) into 0 2.844 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.844 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 2.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 2.844 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.844 * [taylor]: Taking taylor expansion of 2 in n 2.844 * [backup-simplify]: Simplify 2 into 2 2.844 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.844 * [taylor]: Taking taylor expansion of n in n 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 1 into 1 2.845 * [backup-simplify]: Simplify (/ 1 1) into 1 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.846 * [backup-simplify]: Simplify (- 0) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (- 0) into 0 2.847 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 2.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (- 0) into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.849 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 2.849 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.849 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.849 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.849 * [taylor]: Taking taylor expansion of 2 in n 2.849 * [backup-simplify]: Simplify 2 into 2 2.849 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.849 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.849 * [taylor]: Taking taylor expansion of n in n 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify (* 1 1) into 1 2.850 * [backup-simplify]: Simplify (/ 1 1) into 1 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.852 * [backup-simplify]: Simplify (- 0) into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.854 * [backup-simplify]: Simplify (- 0) into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 2.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify (- 0) into 0 2.856 * [backup-simplify]: Simplify (+ 0 0) into 0 2.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.856 * [backup-simplify]: Simplify (- 0) into 0 2.857 * [backup-simplify]: Simplify (+ 0 0) into 0 2.857 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 2.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.858 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.858 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.858 * [taylor]: Taking taylor expansion of 2 in n 2.858 * [backup-simplify]: Simplify 2 into 2 2.858 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.858 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.859 * [taylor]: Taking taylor expansion of n in n 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (* 1 1) into 1 2.859 * [backup-simplify]: Simplify (* 1 1) into 1 2.859 * [backup-simplify]: Simplify (/ 1 1) into 1 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (- 0) into 0 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify -1 into -1 2.866 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 2.866 * [backup-simplify]: Simplify (- (* f f) (* n n)) into (- (pow f 2) (pow n 2)) 2.866 * [approximate]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in (f n) around 0 2.866 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 2.866 * [taylor]: Taking taylor expansion of (pow f 2) in n 2.866 * [taylor]: Taking taylor expansion of f in n 2.866 * [backup-simplify]: Simplify f into f 2.866 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.866 * [taylor]: Taking taylor expansion of n in n 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 1 into 1 2.867 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 2.867 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.867 * [taylor]: Taking taylor expansion of f in f 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.867 * [taylor]: Taking taylor expansion of n in f 2.867 * [backup-simplify]: Simplify n into n 2.867 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 2.867 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.867 * [taylor]: Taking taylor expansion of f in f 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.867 * [taylor]: Taking taylor expansion of n in f 2.867 * [backup-simplify]: Simplify n into n 2.867 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.867 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 2.867 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 2.867 * [taylor]: Taking taylor expansion of (- (pow n 2)) in n 2.867 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.867 * [taylor]: Taking taylor expansion of n in n 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 2.868 * [backup-simplify]: Simplify (- 0) into 0 2.868 * [backup-simplify]: Simplify (+ 0 0) into 0 2.868 * [taylor]: Taking taylor expansion of 0 in n 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (* 1 1) into 1 2.869 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 2.870 * [backup-simplify]: Simplify (- 0) into 0 2.870 * [backup-simplify]: Simplify (+ 1 0) into 1 2.870 * [taylor]: Taking taylor expansion of 1 in n 2.870 * [backup-simplify]: Simplify 1 into 1 2.870 * [backup-simplify]: Simplify 1 into 1 2.870 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify (* 1 1) into 1 2.871 * [backup-simplify]: Simplify (- 1) into -1 2.871 * [backup-simplify]: Simplify -1 into -1 2.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.872 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 2.873 * [backup-simplify]: Simplify (- 0) into 0 2.873 * [backup-simplify]: Simplify (+ 0 0) into 0 2.873 * [taylor]: Taking taylor expansion of 0 in n 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.874 * [backup-simplify]: Simplify (- 0) into 0 2.874 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.876 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 2.877 * [backup-simplify]: Simplify (- 0) into 0 2.877 * [backup-simplify]: Simplify (+ 0 0) into 0 2.877 * [taylor]: Taking taylor expansion of 0 in n 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (pow n 2)) 2.878 * [backup-simplify]: Simplify (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 2.878 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 2.878 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 2.878 * [taylor]: Taking taylor expansion of (pow f 2) in n 2.878 * [taylor]: Taking taylor expansion of f in n 2.878 * [backup-simplify]: Simplify f into f 2.878 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.878 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.878 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.878 * [taylor]: Taking taylor expansion of n in n 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (* 1 1) into 1 2.879 * [backup-simplify]: Simplify (/ 1 1) into 1 2.879 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.879 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.879 * [taylor]: Taking taylor expansion of f in f 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.880 * [backup-simplify]: Simplify (* 1 1) into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 2.880 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.880 * [taylor]: Taking taylor expansion of n in f 2.880 * [backup-simplify]: Simplify n into n 2.880 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.880 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 2.880 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.880 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.881 * [taylor]: Taking taylor expansion of f in f 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.881 * [backup-simplify]: Simplify (* 1 1) into 1 2.882 * [backup-simplify]: Simplify (/ 1 1) into 1 2.882 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 2.882 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.882 * [taylor]: Taking taylor expansion of n in f 2.882 * [backup-simplify]: Simplify n into n 2.882 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.882 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 2.882 * [backup-simplify]: Simplify (+ 1 0) into 1 2.882 * [taylor]: Taking taylor expansion of 1 in n 2.882 * [backup-simplify]: Simplify 1 into 1 2.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.884 * [backup-simplify]: Simplify (+ 0 0) into 0 2.884 * [taylor]: Taking taylor expansion of 0 in n 2.884 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.886 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 2.886 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 2.886 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.887 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.887 * [taylor]: Taking taylor expansion of n in n 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify (* 1 1) into 1 2.887 * [backup-simplify]: Simplify (/ 1 1) into 1 2.888 * [backup-simplify]: Simplify (- 1) into -1 2.888 * [backup-simplify]: Simplify -1 into -1 2.888 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 2.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 2.891 * [backup-simplify]: Simplify (- 0) into 0 2.891 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [taylor]: Taking taylor expansion of 0 in n 2.891 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (- 0) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 2.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 2.897 * [backup-simplify]: Simplify (- 0) into 0 2.897 * [backup-simplify]: Simplify (+ 0 0) into 0 2.897 * [taylor]: Taking taylor expansion of 0 in n 2.897 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.899 * [backup-simplify]: Simplify (- 0) into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2))) into (- (pow f 2) (pow n 2)) 2.900 * [backup-simplify]: Simplify (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n)))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 2.901 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 2.901 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 2.901 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 2.901 * [taylor]: Taking taylor expansion of (pow f 2) in n 2.901 * [taylor]: Taking taylor expansion of f in n 2.901 * [backup-simplify]: Simplify f into f 2.901 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.901 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 2.901 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.901 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.901 * [taylor]: Taking taylor expansion of n in n 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (* 1 1) into 1 2.902 * [backup-simplify]: Simplify (/ 1 1) into 1 2.902 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.902 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.902 * [taylor]: Taking taylor expansion of f in f 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (/ 1 1) into 1 2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 2.903 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.903 * [taylor]: Taking taylor expansion of n in f 2.903 * [backup-simplify]: Simplify n into n 2.903 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.903 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 2.903 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.903 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.903 * [taylor]: Taking taylor expansion of f in f 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.904 * [backup-simplify]: Simplify (* 1 1) into 1 2.904 * [backup-simplify]: Simplify (/ 1 1) into 1 2.904 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 2.904 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.904 * [taylor]: Taking taylor expansion of n in f 2.904 * [backup-simplify]: Simplify n into n 2.904 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.904 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 2.905 * [backup-simplify]: Simplify (+ 1 0) into 1 2.905 * [taylor]: Taking taylor expansion of 1 in n 2.905 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (+ 0 0) into 0 2.907 * [taylor]: Taking taylor expansion of 0 in n 2.907 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 2.909 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 2.909 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 2.909 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.909 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.909 * [taylor]: Taking taylor expansion of n in n 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (* 1 1) into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [backup-simplify]: Simplify (- 1) into -1 2.910 * [backup-simplify]: Simplify -1 into -1 2.911 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 2.913 * [backup-simplify]: Simplify (- 0) into 0 2.914 * [backup-simplify]: Simplify (+ 0 0) into 0 2.914 * [taylor]: Taking taylor expansion of 0 in n 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (- 0) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 2.919 * [backup-simplify]: Simplify (- 0) into 0 2.919 * [backup-simplify]: Simplify (+ 0 0) into 0 2.919 * [taylor]: Taking taylor expansion of 0 in n 2.919 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.922 * [backup-simplify]: Simplify (- 0) into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2))) into (- (pow f 2) (pow n 2)) 2.922 * * * [progress]: simplifying candidates 2.922 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 2.923 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 2.924 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 2.925 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 52 / 72 ] simplifiying candidate #real (real->posit16 (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))))))> 2.926 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 2.926 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 2.927 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 2.927 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 2.927 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (- (* f f) (* n n))))) (* (- f n) (- f n))))> 2.927 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 2.927 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 2.927 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 2.927 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 2.927 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 2.927 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 2.928 * [simplify]: Simplifying: (- (log (- (- (* f f) (* n n)))) (+ (log (- f n)) (log (- f n)))) (- (log (- (- (* f f) (* n n)))) (log (* (- f n) (- f n)))) (log (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (exp (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (- f n)) (* (* (- f n) (- f n)) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (* (- f n) (- f n))) (* (- f n) (- f n)))) (* (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (* (* (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (- (- (- (* f f) (* n n)))) (- (* (- f n) (- f n))) (/ 0 (* (- f n) (- f n))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ -1 (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- 1) (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (+ f n)) (- f n)) (/ (- f n) (- f n)) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (- f n)) (/ (- (cbrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ (+ f n) (- f n)) (/ (- (- f n)) (- f n)) (/ 1 (* (- f n) (- f n))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (- f n)) (/ (* (- f n) (- f n)) (cbrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (sqrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (cbrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (sqrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (- f n)) (/ (* (- f n) (- f n)) (- (cbrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (sqrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (- f n))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- f n))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- f n))) (* (* (- f n) (- f n)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n))))) (* (* (- f n) (- f n)) (+ (* f f) (* n n))) (real->posit16 (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (exp (* f f)) (exp (* n n))) (log (- (* f f) (* n n))) (exp (- (* f f) (* n n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (cbrt (- (* f f) (* n n))) (* (* (- (* f f) (* n n)) (- (* f f) (* n n))) (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (- (pow (* f f) 3) (pow (* n n) 3)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n)))) (- (* n n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (- (* n n)) (real->posit16 (- (* f f) (* n n))) 1 -1 -1 (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) 2.929 * * [simplify]: iteration 0: 124 enodes 2.959 * * [simplify]: iteration 1: 335 enodes 3.090 * * [simplify]: iteration 2: 1253 enodes 3.650 * * [simplify]: iteration complete: 5001 enodes 3.650 * * [simplify]: Extracting #0: cost 58 inf + 0 3.651 * * [simplify]: Extracting #1: cost 523 inf + 3 3.656 * * [simplify]: Extracting #2: cost 1759 inf + 255 3.676 * * [simplify]: Extracting #3: cost 1901 inf + 58666 3.780 * * [simplify]: Extracting #4: cost 406 inf + 373131 3.906 * * [simplify]: Extracting #5: cost 21 inf + 448105 4.042 * * [simplify]: Extracting #6: cost 0 inf + 451713 4.165 * [simplify]: Simplified to: (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (exp (- (/ (+ f n) (- f n)))) (- (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n)))) (- (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n)))) (* (cbrt (- (/ (+ f n) (- f n)))) (cbrt (- (/ (+ f n) (- f n))))) (cbrt (- (/ (+ f n) (- f n)))) (- (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) (* (+ f n) (- f n)) (- (* (- f n) (- f n))) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (+ (- (* f f)) (* n n))) (cbrt (+ (- (* f f)) (* n n)))) (- f n)) (/ (cbrt (+ (- (* f f)) (* n n))) (- f n)) (/ (sqrt (+ (- (* f f)) (* n n))) (- f n)) (/ (sqrt (+ (- (* f f)) (* n n))) (- f n)) (/ 1 (- f n)) (- (/ (* (+ f n) (- f n)) (- f n))) (/ -1 (- f n)) (/ (* (+ f n) (- f n)) (- f n)) (* (/ (cbrt (* (+ f n) (- f n))) (- f n)) (- (cbrt (* (+ f n) (- f n))))) (/ (cbrt (* (+ f n) (- f n))) (- f n)) (- (/ (sqrt (* (+ f n) (- f n))) (- f n))) (/ (sqrt (* (+ f n) (- f n))) (- f n)) (/ -1 (- f n)) (/ (* (+ f n) (- f n)) (- f n)) (- (/ (+ f n) (- f n))) 1 (* (/ (cbrt (* (+ f n) (- f n))) (- f n)) (cbrt (* (+ f n) (- f n)))) (- (/ (cbrt (* (+ f n) (- f n))) (- f n))) (/ (sqrt (* (+ f n) (- f n))) (- f n)) (- (/ (sqrt (* (+ f n) (- f n))) (- f n))) (/ 1 (- f n)) (- (/ (* (+ f n) (- f n)) (- f n))) (/ (+ f n) (- f n)) -1 (/ 1 (* (- 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)) (cbrt (+ (- (* f f)) (* n n)))) (* (/ (- f n) (sqrt (+ (- (* f f)) (* n n)))) (- f n)) (/ (- f n) (- (/ (* (+ f n) (- f n)) (- f n)))) (/ (- f n) (+ f n)) (/ (* (- f n) (- f n)) (cbrt (* (+ f n) (- f n)))) (* (/ (- f n) (sqrt (* (+ 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) -1) (/ (/ (+ (- (* f f)) (* n n)) (- (* f (* f f)) (* n (* n n)))) (- (* f (* f f)) (* n (* n n)))) (/ (- 1) (- (* f (* f f)) (* n (* n n)))) (/ (- 1) (- (* f (* f f)) (* n (* n n)))) (/ (- 1) (* (+ f n) (- f n))) (- (/ (+ f n) (- (* f (* f f)) (* n (* n n))))) (/ (- 1) (- f n)) (- (/ (+ f n) (- (* f (* f f)) (* n (* n n))))) (/ (- 1) (- f n)) (* (* (- f n) (- f n)) (+ (* (* n n) (* n n)) (* (* f f) (+ (* n n) (* f f))))) (* (* (- f n) (- f n)) (+ (* n n) (* f f))) (real->posit16 (- (/ (+ f n) (- f n)))) (exp (- (* f f) (* n n))) (log (* (+ f n) (- f n))) (exp (- (* f f) (* n 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 f) (* f f)) (* f f)) (* (* n n) (* (* n n) (* n n)))) (+ (* (* n n) (* n n)) (* (* f f) (+ (* n n) (* f f)))) (* (- n) n) (* (+ (* f f) (* n n)) (- (* f f) (* n n))) (+ (* n n) (* f f)) (+ f n) (- f n) (* (- n) n) (real->posit16 (* (+ f n) (- f n))) 1 -1 -1 (* (+ f n) (- f n)) (* (+ f n) (- f n)) (* (+ f n) (- f n)) 4.170 * * * [progress]: adding candidates to table 4.441 * * [progress]: iteration 3 / 4 4.441 * * * [progress]: picking best candidate 4.446 * * * * [pick]: Picked # 4.446 * * * [progress]: localizing error 4.483 * * * [progress]: generating rewritten candidates 4.483 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.553 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.582 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.591 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 4.610 * * * [progress]: generating series expansions 4.610 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.610 * [backup-simplify]: Simplify (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n))) into (* -1 (/ (+ n f) (- f n))) 4.610 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.610 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.610 * [taylor]: Taking taylor expansion of -1 in n 4.610 * [backup-simplify]: Simplify -1 into -1 4.610 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.610 * [taylor]: Taking taylor expansion of (+ n f) in n 4.610 * [taylor]: Taking taylor expansion of n in n 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 1 into 1 4.610 * [taylor]: Taking taylor expansion of f in n 4.611 * [backup-simplify]: Simplify f into f 4.611 * [taylor]: Taking taylor expansion of (- f n) in n 4.611 * [taylor]: Taking taylor expansion of f in n 4.611 * [backup-simplify]: Simplify f into f 4.611 * [taylor]: Taking taylor expansion of n in n 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify 1 into 1 4.611 * [backup-simplify]: Simplify (+ 0 f) into f 4.611 * [backup-simplify]: Simplify (- 0) into 0 4.612 * [backup-simplify]: Simplify (+ f 0) into f 4.612 * [backup-simplify]: Simplify (/ f f) into 1 4.612 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.612 * [taylor]: Taking taylor expansion of -1 in f 4.612 * [backup-simplify]: Simplify -1 into -1 4.612 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.612 * [taylor]: Taking taylor expansion of (+ n f) in f 4.612 * [taylor]: Taking taylor expansion of n in f 4.612 * [backup-simplify]: Simplify n into n 4.612 * [taylor]: Taking taylor expansion of f in f 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 1 into 1 4.612 * [taylor]: Taking taylor expansion of (- f n) in f 4.612 * [taylor]: Taking taylor expansion of f in f 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 1 into 1 4.612 * [taylor]: Taking taylor expansion of n in f 4.612 * [backup-simplify]: Simplify n into n 4.612 * [backup-simplify]: Simplify (+ n 0) into n 4.612 * [backup-simplify]: Simplify (- n) into (- n) 4.612 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.612 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.612 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.612 * [taylor]: Taking taylor expansion of -1 in f 4.612 * [backup-simplify]: Simplify -1 into -1 4.612 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.612 * [taylor]: Taking taylor expansion of (+ n f) in f 4.612 * [taylor]: Taking taylor expansion of n in f 4.612 * [backup-simplify]: Simplify n into n 4.612 * [taylor]: Taking taylor expansion of f in f 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 1 into 1 4.612 * [taylor]: Taking taylor expansion of (- f n) in f 4.613 * [taylor]: Taking taylor expansion of f in f 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify 1 into 1 4.613 * [taylor]: Taking taylor expansion of n in f 4.613 * [backup-simplify]: Simplify n into n 4.613 * [backup-simplify]: Simplify (+ n 0) into n 4.613 * [backup-simplify]: Simplify (- n) into (- n) 4.613 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.613 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.613 * [backup-simplify]: Simplify (* -1 -1) into 1 4.613 * [taylor]: Taking taylor expansion of 1 in n 4.613 * [backup-simplify]: Simplify 1 into 1 4.613 * [backup-simplify]: Simplify 1 into 1 4.614 * [backup-simplify]: Simplify (+ 0 1) into 1 4.614 * [backup-simplify]: Simplify (- 0) into 0 4.615 * [backup-simplify]: Simplify (+ 1 0) into 1 4.615 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.616 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.616 * [taylor]: Taking taylor expansion of 2 in n 4.616 * [backup-simplify]: Simplify 2 into 2 4.616 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.616 * [taylor]: Taking taylor expansion of n in n 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 1 into 1 4.616 * [backup-simplify]: Simplify (/ 1 1) into 1 4.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.618 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (- 0) into 0 4.619 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.620 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.620 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.620 * [taylor]: Taking taylor expansion of 2 in n 4.620 * [backup-simplify]: Simplify 2 into 2 4.620 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.620 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.620 * [taylor]: Taking taylor expansion of n in n 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 1 into 1 4.620 * [backup-simplify]: Simplify (* 1 1) into 1 4.621 * [backup-simplify]: Simplify (/ 1 1) into 1 4.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.625 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.626 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify (+ 0 0) into 0 4.626 * [backup-simplify]: Simplify (- 0) into 0 4.627 * [backup-simplify]: Simplify (+ 0 0) into 0 4.627 * [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)))) 4.627 * [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))) 4.627 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.627 * [taylor]: Taking taylor expansion of 2 in n 4.627 * [backup-simplify]: Simplify 2 into 2 4.627 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.628 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.628 * [taylor]: Taking taylor expansion of n in n 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [backup-simplify]: Simplify (* 1 1) into 1 4.628 * [backup-simplify]: Simplify (* 1 1) into 1 4.628 * [backup-simplify]: Simplify (/ 1 1) into 1 4.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 1 into 1 4.634 * [backup-simplify]: Simplify (* (/ (- (sqrt (+ (/ 1 f) (/ 1 n)))) 1) (/ (sqrt (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.634 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.634 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.634 * [taylor]: Taking taylor expansion of -1 in n 4.634 * [backup-simplify]: Simplify -1 into -1 4.634 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.634 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.634 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.634 * [taylor]: Taking taylor expansion of f in n 4.634 * [backup-simplify]: Simplify f into f 4.634 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.634 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.634 * [taylor]: Taking taylor expansion of n in n 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 1 into 1 4.634 * [backup-simplify]: Simplify (/ 1 1) into 1 4.634 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.634 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.634 * [taylor]: Taking taylor expansion of f in n 4.634 * [backup-simplify]: Simplify f into f 4.635 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.635 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.635 * [taylor]: Taking taylor expansion of n in n 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 1 into 1 4.635 * [backup-simplify]: Simplify (/ 1 1) into 1 4.635 * [backup-simplify]: Simplify (+ 0 1) into 1 4.635 * [backup-simplify]: Simplify (- 1) into -1 4.636 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.636 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.636 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.636 * [taylor]: Taking taylor expansion of -1 in f 4.636 * [backup-simplify]: Simplify -1 into -1 4.636 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.636 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.636 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.636 * [taylor]: Taking taylor expansion of f in f 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [backup-simplify]: Simplify (/ 1 1) into 1 4.636 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.636 * [taylor]: Taking taylor expansion of n in f 4.636 * [backup-simplify]: Simplify n into n 4.636 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.636 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.636 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.636 * [taylor]: Taking taylor expansion of f in f 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (/ 1 1) into 1 4.637 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.637 * [taylor]: Taking taylor expansion of n in f 4.637 * [backup-simplify]: Simplify n into n 4.637 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.637 * [backup-simplify]: Simplify (+ 1 0) into 1 4.637 * [backup-simplify]: Simplify (+ 1 0) into 1 4.638 * [backup-simplify]: Simplify (/ 1 1) into 1 4.638 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.638 * [taylor]: Taking taylor expansion of -1 in f 4.638 * [backup-simplify]: Simplify -1 into -1 4.638 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.638 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.638 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.638 * [taylor]: Taking taylor expansion of f in f 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 1 into 1 4.638 * [backup-simplify]: Simplify (/ 1 1) into 1 4.638 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.638 * [taylor]: Taking taylor expansion of n in f 4.638 * [backup-simplify]: Simplify n into n 4.638 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.638 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.638 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.638 * [taylor]: Taking taylor expansion of f in f 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 1 into 1 4.638 * [backup-simplify]: Simplify (/ 1 1) into 1 4.638 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.638 * [taylor]: Taking taylor expansion of n in f 4.638 * [backup-simplify]: Simplify n into n 4.638 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.639 * [backup-simplify]: Simplify (+ 1 0) into 1 4.639 * [backup-simplify]: Simplify (+ 1 0) into 1 4.639 * [backup-simplify]: Simplify (/ 1 1) into 1 4.640 * [backup-simplify]: Simplify (* -1 1) into -1 4.640 * [taylor]: Taking taylor expansion of -1 in n 4.640 * [backup-simplify]: Simplify -1 into -1 4.640 * [backup-simplify]: Simplify -1 into -1 4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.640 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.641 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.641 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.641 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.641 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.641 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.641 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.641 * [taylor]: Taking taylor expansion of 2 in n 4.641 * [backup-simplify]: Simplify 2 into 2 4.641 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.641 * [taylor]: Taking taylor expansion of n in n 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.642 * [backup-simplify]: Simplify (/ 1 1) into 1 4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.642 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.643 * [backup-simplify]: Simplify (- 0) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.644 * [backup-simplify]: Simplify (+ 0 0) into 0 4.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.644 * [backup-simplify]: Simplify (- 0) into 0 4.645 * [backup-simplify]: Simplify (+ 0 0) into 0 4.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.646 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.646 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.646 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.646 * [taylor]: Taking taylor expansion of 2 in n 4.646 * [backup-simplify]: Simplify 2 into 2 4.646 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.646 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.646 * [taylor]: Taking taylor expansion of n in n 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (* 1 1) into 1 4.646 * [backup-simplify]: Simplify (/ 1 1) into 1 4.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.649 * [backup-simplify]: Simplify (- 0) into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.650 * [backup-simplify]: Simplify (- 0) into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.651 * [backup-simplify]: Simplify (+ 0 0) into 0 4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.652 * [backup-simplify]: Simplify (- 0) into 0 4.653 * [backup-simplify]: Simplify (+ 0 0) into 0 4.654 * [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))) 4.654 * [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)))) 4.654 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.654 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.654 * [taylor]: Taking taylor expansion of 2 in n 4.654 * [backup-simplify]: Simplify 2 into 2 4.654 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.654 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.654 * [taylor]: Taking taylor expansion of n in n 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 1 into 1 4.654 * [backup-simplify]: Simplify (* 1 1) into 1 4.655 * [backup-simplify]: Simplify (* 1 1) into 1 4.655 * [backup-simplify]: Simplify (/ 1 1) into 1 4.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (- 0) into 0 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify -1 into -1 4.665 * [backup-simplify]: Simplify (* (/ (- (sqrt (+ (/ 1 (- f)) (/ 1 (- n))))) 1) (/ (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) 4.665 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 4.665 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in n 4.665 * [taylor]: Taking taylor expansion of -1 in n 4.665 * [backup-simplify]: Simplify -1 into -1 4.665 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in n 4.665 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 4.665 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 4.665 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 4.665 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.665 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.665 * [taylor]: Taking taylor expansion of f in n 4.665 * [backup-simplify]: Simplify f into f 4.665 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.665 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.665 * [taylor]: Taking taylor expansion of n in n 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 1 into 1 4.666 * [backup-simplify]: Simplify (/ 1 1) into 1 4.666 * [backup-simplify]: Simplify (+ 0 1) into 1 4.667 * [backup-simplify]: Simplify (- 1) into -1 4.667 * [backup-simplify]: Simplify (sqrt 0) into 0 4.668 * [backup-simplify]: Simplify (- 1) into -1 4.669 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.669 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.669 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.669 * [taylor]: Taking taylor expansion of n in n 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.670 * [backup-simplify]: Simplify (/ 1 1) into 1 4.670 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.670 * [taylor]: Taking taylor expansion of f in n 4.670 * [backup-simplify]: Simplify f into f 4.670 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.670 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 4.671 * [backup-simplify]: Simplify (+ 1 0) into 1 4.671 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 4.671 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 4.671 * [taylor]: Taking taylor expansion of -1 in f 4.671 * [backup-simplify]: Simplify -1 into -1 4.671 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 4.671 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 4.671 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 4.671 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 4.671 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.671 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.671 * [taylor]: Taking taylor expansion of f in f 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (/ 1 1) into 1 4.672 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.672 * [taylor]: Taking taylor expansion of n in f 4.672 * [backup-simplify]: Simplify n into n 4.672 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.672 * [backup-simplify]: Simplify (+ 1 0) into 1 4.672 * [backup-simplify]: Simplify (- 1) into -1 4.673 * [backup-simplify]: Simplify (sqrt 0) into 0 4.673 * [backup-simplify]: Simplify (- 1) into -1 4.674 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.674 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.674 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.674 * [taylor]: Taking taylor expansion of n in f 4.674 * [backup-simplify]: Simplify n into n 4.674 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.674 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.674 * [taylor]: Taking taylor expansion of f in f 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 1 into 1 4.674 * [backup-simplify]: Simplify (/ 1 1) into 1 4.674 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 4.675 * [backup-simplify]: Simplify (- 1) into -1 4.675 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.675 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 4.675 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 4.675 * [taylor]: Taking taylor expansion of -1 in f 4.675 * [backup-simplify]: Simplify -1 into -1 4.675 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 4.675 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 4.675 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 4.675 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 4.675 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.675 * [taylor]: Taking taylor expansion of f in f 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.676 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.676 * [taylor]: Taking taylor expansion of n in f 4.676 * [backup-simplify]: Simplify n into n 4.676 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.676 * [backup-simplify]: Simplify (+ 1 0) into 1 4.676 * [backup-simplify]: Simplify (- 1) into -1 4.677 * [backup-simplify]: Simplify (sqrt 0) into 0 4.677 * [backup-simplify]: Simplify (- 1) into -1 4.678 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.678 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.678 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.678 * [taylor]: Taking taylor expansion of n in f 4.678 * [backup-simplify]: Simplify n into n 4.678 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.678 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.678 * [taylor]: Taking taylor expansion of f in f 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.679 * [backup-simplify]: Simplify (/ 1 1) into 1 4.679 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 4.679 * [backup-simplify]: Simplify (- 1) into -1 4.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.680 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 4.680 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 4.680 * [taylor]: Taking taylor expansion of +nan.0 in n 4.680 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.680 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.681 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.681 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.682 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 4.682 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n)))) (* (* +nan.0 (+ +nan.0 (/ 1 n))) +nan.0)) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (- 0) into 0 4.683 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.683 * [backup-simplify]: Simplify (- (/ (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.684 * [backup-simplify]: Simplify (+ (* -1 (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (* 0 +nan.0)) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.684 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 4.684 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 4.684 * [taylor]: Taking taylor expansion of +nan.0 in n 4.684 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.684 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 4.684 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.684 * [taylor]: Taking taylor expansion of +nan.0 in n 4.684 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.684 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.684 * [taylor]: Taking taylor expansion of n in n 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify (/ 1 1) into 1 4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.686 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 4.686 * [backup-simplify]: Simplify (- 0) into 0 4.686 * [backup-simplify]: Simplify (+ 0 0) into 0 4.686 * [backup-simplify]: Simplify (- 0) into 0 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.687 * [backup-simplify]: Simplify (+ 0 0) into 0 4.688 * [backup-simplify]: Simplify (- 0) into 0 4.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.688 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 n))) (* +nan.0 (+ +nan.0 (/ 1 n)))) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 4.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.689 * [backup-simplify]: Simplify (- 0) into 0 4.690 * [backup-simplify]: Simplify (+ 0 0) into 0 4.690 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) -1) (+ (* +nan.0 (/ 0 -1)) (* (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 4.691 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))) (+ (* 0 (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (* 0 +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 4.691 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 4.691 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 4.691 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 4.691 * [taylor]: Taking taylor expansion of +nan.0 in n 4.691 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.691 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.691 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.691 * [taylor]: Taking taylor expansion of n in n 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify 1 into 1 4.691 * [backup-simplify]: Simplify (* 1 1) into 1 4.692 * [backup-simplify]: Simplify (/ 1 1) into 1 4.692 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 4.692 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 4.692 * [taylor]: Taking taylor expansion of +nan.0 in n 4.692 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.692 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 4.692 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.692 * [taylor]: Taking taylor expansion of +nan.0 in n 4.692 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.692 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.692 * [taylor]: Taking taylor expansion of n in n 4.692 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify 1 into 1 4.692 * [backup-simplify]: Simplify (/ 1 1) into 1 4.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.696 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.697 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 4.698 * [backup-simplify]: Simplify (- 0) into 0 4.698 * [backup-simplify]: Simplify (+ 0 0) into 0 4.698 * [backup-simplify]: Simplify (- 0) into 0 4.698 * [backup-simplify]: Simplify (+ 0 0) into 0 4.699 * [backup-simplify]: Simplify (- 0) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.700 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.700 * [backup-simplify]: Simplify (- 0) into 0 4.700 * [backup-simplify]: Simplify (+ 0 0) into 0 4.701 * [backup-simplify]: Simplify (- 0) into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.701 * [backup-simplify]: Simplify (/ (sqrt (+ f n)) (- f n)) into (* (/ 1 (- f n)) (sqrt (+ n f))) 4.701 * [approximate]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in (f n) around 0 4.701 * [taylor]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in n 4.701 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 4.701 * [taylor]: Taking taylor expansion of (- f n) in n 4.701 * [taylor]: Taking taylor expansion of f in n 4.701 * [backup-simplify]: Simplify f into f 4.701 * [taylor]: Taking taylor expansion of n in n 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 1 into 1 4.706 * [backup-simplify]: Simplify (- 0) into 0 4.706 * [backup-simplify]: Simplify (+ f 0) into f 4.706 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.706 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 4.706 * [taylor]: Taking taylor expansion of (+ n f) in n 4.706 * [taylor]: Taking taylor expansion of n in n 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify 1 into 1 4.706 * [taylor]: Taking taylor expansion of f in n 4.706 * [backup-simplify]: Simplify f into f 4.706 * [backup-simplify]: Simplify (+ 0 f) into f 4.706 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 4.706 * [backup-simplify]: Simplify (+ 1 0) into 1 4.706 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 4.706 * [taylor]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in f 4.707 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 4.707 * [taylor]: Taking taylor expansion of (- f n) in f 4.707 * [taylor]: Taking taylor expansion of f in f 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [taylor]: Taking taylor expansion of n in f 4.707 * [backup-simplify]: Simplify n into n 4.707 * [backup-simplify]: Simplify (- n) into (- n) 4.707 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.707 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 4.707 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 4.707 * [taylor]: Taking taylor expansion of (+ n f) in f 4.707 * [taylor]: Taking taylor expansion of n in f 4.707 * [backup-simplify]: Simplify n into n 4.707 * [taylor]: Taking taylor expansion of f in f 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (+ n 0) into n 4.707 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 4.707 * [backup-simplify]: Simplify (+ 0 1) into 1 4.707 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 4.707 * [taylor]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in f 4.707 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 4.707 * [taylor]: Taking taylor expansion of (- f n) in f 4.707 * [taylor]: Taking taylor expansion of f in f 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [taylor]: Taking taylor expansion of n in f 4.707 * [backup-simplify]: Simplify n into n 4.707 * [backup-simplify]: Simplify (- n) into (- n) 4.707 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.707 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 4.707 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 4.708 * [taylor]: Taking taylor expansion of (+ n f) in f 4.708 * [taylor]: Taking taylor expansion of n in f 4.708 * [backup-simplify]: Simplify n into n 4.708 * [taylor]: Taking taylor expansion of f in f 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * [backup-simplify]: Simplify (+ n 0) into n 4.708 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 4.708 * [backup-simplify]: Simplify (+ 0 1) into 1 4.708 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 4.708 * [backup-simplify]: Simplify (* (/ -1 n) (sqrt n)) into (* -1 (sqrt (/ 1 n))) 4.708 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 n))) in n 4.708 * [taylor]: Taking taylor expansion of -1 in n 4.708 * [backup-simplify]: Simplify -1 into -1 4.708 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.708 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.708 * [taylor]: Taking taylor expansion of n in n 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * [backup-simplify]: Simplify (/ 1 1) into 1 4.709 * [backup-simplify]: Simplify (sqrt 0) into 0 4.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.710 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 4.711 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.711 * [backup-simplify]: Simplify (- 0) into 0 4.711 * [backup-simplify]: Simplify (+ 1 0) into 1 4.712 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 4.712 * [backup-simplify]: Simplify (+ (* (/ -1 n) (* 1/2 (sqrt (/ 1 n)))) (* (- (/ 1 (pow n 2))) (sqrt n))) into (- (* 3/2 (sqrt (/ 1 (pow n 3))))) 4.712 * [taylor]: Taking taylor expansion of (- (* 3/2 (sqrt (/ 1 (pow n 3))))) in n 4.712 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt (/ 1 (pow n 3)))) in n 4.712 * [taylor]: Taking taylor expansion of 3/2 in n 4.712 * [backup-simplify]: Simplify 3/2 into 3/2 4.712 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 4.712 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.712 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.712 * [taylor]: Taking taylor expansion of n in n 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (* 1 1) into 1 4.713 * [backup-simplify]: Simplify (* 1 1) into 1 4.713 * [backup-simplify]: Simplify (/ 1 1) into 1 4.714 * [backup-simplify]: Simplify (sqrt 0) into 0 4.715 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.722 * [backup-simplify]: Simplify (+ (* 3/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.723 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 4.723 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.729 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.730 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.731 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 4.731 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) 4.731 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.731 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in n 4.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 4.731 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.731 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.731 * [taylor]: Taking taylor expansion of f in n 4.731 * [backup-simplify]: Simplify f into f 4.732 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.732 * [taylor]: Taking taylor expansion of n in n 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (/ 1 1) into 1 4.733 * [backup-simplify]: Simplify (+ 0 1) into 1 4.733 * [backup-simplify]: Simplify (sqrt 0) into 0 4.735 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.735 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 4.735 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.735 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.735 * [taylor]: Taking taylor expansion of f in n 4.735 * [backup-simplify]: Simplify f into f 4.735 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.735 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.735 * [taylor]: Taking taylor expansion of n in n 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [backup-simplify]: Simplify (/ 1 1) into 1 4.736 * [backup-simplify]: Simplify (- 1) into -1 4.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.737 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.737 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in f 4.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 4.737 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.737 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.737 * [taylor]: Taking taylor expansion of f in f 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (/ 1 1) into 1 4.737 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.737 * [taylor]: Taking taylor expansion of n in f 4.737 * [backup-simplify]: Simplify n into n 4.737 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.738 * [backup-simplify]: Simplify (+ 1 0) into 1 4.738 * [backup-simplify]: Simplify (sqrt 0) into 0 4.739 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.739 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 4.739 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.739 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.739 * [taylor]: Taking taylor expansion of f in f 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 1 into 1 4.740 * [backup-simplify]: Simplify (/ 1 1) into 1 4.740 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.740 * [taylor]: Taking taylor expansion of n in f 4.740 * [backup-simplify]: Simplify n into n 4.740 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.740 * [backup-simplify]: Simplify (+ 1 0) into 1 4.740 * [backup-simplify]: Simplify (/ 1 1) into 1 4.740 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in f 4.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 4.740 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.740 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.740 * [taylor]: Taking taylor expansion of f in f 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 1 into 1 4.741 * [backup-simplify]: Simplify (/ 1 1) into 1 4.741 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.741 * [taylor]: Taking taylor expansion of n in f 4.741 * [backup-simplify]: Simplify n into n 4.741 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.741 * [backup-simplify]: Simplify (+ 1 0) into 1 4.741 * [backup-simplify]: Simplify (sqrt 0) into 0 4.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.742 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 4.742 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.742 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.742 * [taylor]: Taking taylor expansion of f in f 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (/ 1 1) into 1 4.742 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.742 * [taylor]: Taking taylor expansion of n in f 4.742 * [backup-simplify]: Simplify n into n 4.742 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.743 * [backup-simplify]: Simplify (+ 1 0) into 1 4.743 * [backup-simplify]: Simplify (/ 1 1) into 1 4.743 * [backup-simplify]: Simplify (* 0 1) into 0 4.743 * [taylor]: Taking taylor expansion of 0 in n 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.744 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.744 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 4.744 * [backup-simplify]: Simplify (+ (* 0 (/ 1 n)) (* +nan.0 1)) into (- +nan.0) 4.744 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.744 * [taylor]: Taking taylor expansion of +nan.0 in n 4.744 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.745 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.745 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.746 * [backup-simplify]: Simplify (- 0) into 0 4.746 * [backup-simplify]: Simplify (+ 0 0) into 0 4.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 4.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.747 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.748 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 4.748 * [backup-simplify]: Simplify (+ (* 0 (/ 1 (pow n 2))) (+ (* +nan.0 (/ 1 n)) (* (* +nan.0 (- (/ 1 n) +nan.0)) 1))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.748 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 4.748 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 4.748 * [taylor]: Taking taylor expansion of +nan.0 in n 4.748 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.748 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 4.748 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.748 * [taylor]: Taking taylor expansion of +nan.0 in n 4.748 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.748 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.748 * [taylor]: Taking taylor expansion of n in n 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 1 into 1 4.749 * [backup-simplify]: Simplify (/ 1 1) into 1 4.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.749 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 4.750 * [backup-simplify]: Simplify (- 0) into 0 4.750 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.750 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 4.751 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.751 * [backup-simplify]: Simplify (- 0) into 0 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.752 * [backup-simplify]: Simplify (- 0) into 0 4.752 * [backup-simplify]: Simplify (+ 0 0) into 0 4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 3)) 4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.754 * [backup-simplify]: Simplify (+ 0 0) into 0 4.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.755 * [backup-simplify]: Simplify (+ (* 0 (/ 1 (pow n 3))) (+ (* +nan.0 (/ 1 (pow n 2))) (+ (* (* +nan.0 (- (/ 1 n) +nan.0)) (/ 1 n)) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 4.755 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 4.755 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 4.755 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 4.755 * [taylor]: Taking taylor expansion of +nan.0 in n 4.755 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.755 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.755 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.755 * [taylor]: Taking taylor expansion of n in n 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.755 * [backup-simplify]: Simplify (* 1 1) into 1 4.755 * [backup-simplify]: Simplify (/ 1 1) into 1 4.755 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 4.755 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 4.755 * [taylor]: Taking taylor expansion of +nan.0 in n 4.755 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.755 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 4.755 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.755 * [taylor]: Taking taylor expansion of +nan.0 in n 4.755 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.755 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.755 * [taylor]: Taking taylor expansion of n in n 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.756 * [backup-simplify]: Simplify (/ 1 1) into 1 4.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.758 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 4.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.759 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 4.759 * [backup-simplify]: Simplify (- 0) into 0 4.759 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.760 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 4.760 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 4.761 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 4.761 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.762 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 2)) (* (- +nan.0) (* 1 (/ 1 f))))) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 2))) (- (* +nan.0 (/ 1 (pow f 3)))))))) 4.762 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) 4.762 * [approximate]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.762 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in n 4.762 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 4.762 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 4.762 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.762 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.762 * [taylor]: Taking taylor expansion of f in n 4.762 * [backup-simplify]: Simplify f into f 4.763 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.763 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.763 * [taylor]: Taking taylor expansion of n in n 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 1 into 1 4.763 * [backup-simplify]: Simplify (/ 1 1) into 1 4.763 * [backup-simplify]: Simplify (+ 0 1) into 1 4.763 * [backup-simplify]: Simplify (- 1) into -1 4.764 * [backup-simplify]: Simplify (sqrt 0) into 0 4.764 * [backup-simplify]: Simplify (- 1) into -1 4.766 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.766 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.766 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.766 * [taylor]: Taking taylor expansion of n in n 4.766 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify 1 into 1 4.766 * [backup-simplify]: Simplify (/ 1 1) into 1 4.766 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.766 * [taylor]: Taking taylor expansion of f in n 4.766 * [backup-simplify]: Simplify f into f 4.766 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.767 * [backup-simplify]: Simplify (+ 1 0) into 1 4.767 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 4.767 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 4.767 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 4.767 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 4.767 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.767 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.767 * [taylor]: Taking taylor expansion of f in f 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.768 * [backup-simplify]: Simplify (/ 1 1) into 1 4.768 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.768 * [taylor]: Taking taylor expansion of n in f 4.768 * [backup-simplify]: Simplify n into n 4.768 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.768 * [backup-simplify]: Simplify (+ 1 0) into 1 4.769 * [backup-simplify]: Simplify (- 1) into -1 4.769 * [backup-simplify]: Simplify (sqrt 0) into 0 4.769 * [backup-simplify]: Simplify (- 1) into -1 4.771 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.771 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.771 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.771 * [taylor]: Taking taylor expansion of n in f 4.771 * [backup-simplify]: Simplify n into n 4.771 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.771 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.771 * [taylor]: Taking taylor expansion of f in f 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.771 * [backup-simplify]: Simplify (/ 1 1) into 1 4.772 * [backup-simplify]: Simplify (- 1) into -1 4.772 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.773 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 4.773 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 4.773 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 4.773 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 4.773 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.773 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.773 * [taylor]: Taking taylor expansion of f in f 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [backup-simplify]: Simplify (/ 1 1) into 1 4.773 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.773 * [taylor]: Taking taylor expansion of n in f 4.773 * [backup-simplify]: Simplify n into n 4.773 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.774 * [backup-simplify]: Simplify (+ 1 0) into 1 4.774 * [backup-simplify]: Simplify (- 1) into -1 4.775 * [backup-simplify]: Simplify (sqrt 0) into 0 4.775 * [backup-simplify]: Simplify (- 1) into -1 4.776 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.776 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.776 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.776 * [taylor]: Taking taylor expansion of n in f 4.776 * [backup-simplify]: Simplify n into n 4.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.776 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.776 * [taylor]: Taking taylor expansion of f in f 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (/ 1 1) into 1 4.777 * [backup-simplify]: Simplify (- 1) into -1 4.778 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.778 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 4.778 * [taylor]: Taking taylor expansion of +nan.0 in n 4.778 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.778 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.779 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.779 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.781 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 4.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.782 * [backup-simplify]: Simplify (- 0) into 0 4.782 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.782 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ +nan.0 (/ 1 n))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.782 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 4.782 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 4.782 * [taylor]: Taking taylor expansion of +nan.0 in n 4.782 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.782 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 4.782 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.782 * [taylor]: Taking taylor expansion of +nan.0 in n 4.783 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.783 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.783 * [taylor]: Taking taylor expansion of n in n 4.783 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify 1 into 1 4.783 * [backup-simplify]: Simplify (/ 1 1) into 1 4.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.786 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 4.786 * [backup-simplify]: Simplify (- 0) into 0 4.787 * [backup-simplify]: Simplify (+ 0 0) into 0 4.787 * [backup-simplify]: Simplify (- 0) into 0 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.789 * [backup-simplify]: Simplify (+ 0 0) into 0 4.789 * [backup-simplify]: Simplify (- 0) into 0 4.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.791 * [backup-simplify]: Simplify (- 0) into 0 4.792 * [backup-simplify]: Simplify (+ 0 0) into 0 4.793 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) -1) (+ (* +nan.0 (/ 0 -1)) (* (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 4.793 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 4.793 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 4.793 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 4.793 * [taylor]: Taking taylor expansion of +nan.0 in n 4.793 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.793 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.793 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.793 * [taylor]: Taking taylor expansion of n in n 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 1 into 1 4.794 * [backup-simplify]: Simplify (* 1 1) into 1 4.794 * [backup-simplify]: Simplify (/ 1 1) into 1 4.794 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 4.794 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 4.794 * [taylor]: Taking taylor expansion of +nan.0 in n 4.794 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.794 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 4.794 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.794 * [taylor]: Taking taylor expansion of +nan.0 in n 4.794 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.794 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.794 * [taylor]: Taking taylor expansion of n in n 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.795 * [backup-simplify]: Simplify (/ 1 1) into 1 4.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.801 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.804 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 4.804 * [backup-simplify]: Simplify (- 0) into 0 4.804 * [backup-simplify]: Simplify (+ 0 0) into 0 4.805 * [backup-simplify]: Simplify (- 0) into 0 4.805 * [backup-simplify]: Simplify (+ 0 0) into 0 4.805 * [backup-simplify]: Simplify (- 0) into 0 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.808 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.808 * [backup-simplify]: Simplify (- 0) into 0 4.808 * [backup-simplify]: Simplify (+ 0 0) into 0 4.809 * [backup-simplify]: Simplify (- 0) into 0 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.809 * [backup-simplify]: Simplify (sqrt (+ f n)) into (sqrt (+ n f)) 4.809 * [approximate]: Taking taylor expansion of (sqrt (+ n f)) in (f n) around 0 4.809 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 4.809 * [taylor]: Taking taylor expansion of (+ n f) in n 4.809 * [taylor]: Taking taylor expansion of n in n 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.809 * [taylor]: Taking taylor expansion of f in n 4.809 * [backup-simplify]: Simplify f into f 4.809 * [backup-simplify]: Simplify (+ 0 f) into f 4.809 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 4.810 * [backup-simplify]: Simplify (+ 1 0) into 1 4.810 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 4.810 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 4.810 * [taylor]: Taking taylor expansion of (+ n f) in f 4.810 * [taylor]: Taking taylor expansion of n in f 4.810 * [backup-simplify]: Simplify n into n 4.810 * [taylor]: Taking taylor expansion of f in f 4.810 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify 1 into 1 4.810 * [backup-simplify]: Simplify (+ n 0) into n 4.810 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 4.811 * [backup-simplify]: Simplify (+ 0 1) into 1 4.811 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 4.811 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 4.811 * [taylor]: Taking taylor expansion of (+ n f) in f 4.811 * [taylor]: Taking taylor expansion of n in f 4.811 * [backup-simplify]: Simplify n into n 4.811 * [taylor]: Taking taylor expansion of f in f 4.811 * [backup-simplify]: Simplify 0 into 0 4.811 * [backup-simplify]: Simplify 1 into 1 4.811 * [backup-simplify]: Simplify (+ n 0) into n 4.811 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 4.812 * [backup-simplify]: Simplify (+ 0 1) into 1 4.812 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 4.812 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.812 * [taylor]: Taking taylor expansion of n in n 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.812 * [backup-simplify]: Simplify (sqrt 0) into 0 4.814 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 n))) in n 4.814 * [taylor]: Taking taylor expansion of 1/2 in n 4.814 * [backup-simplify]: Simplify 1/2 into 1/2 4.814 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.814 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.814 * [taylor]: Taking taylor expansion of n in n 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify 1 into 1 4.814 * [backup-simplify]: Simplify (/ 1 1) into 1 4.815 * [backup-simplify]: Simplify (sqrt 0) into 0 4.816 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.817 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 4.818 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.818 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.818 * [backup-simplify]: Simplify (+ 0 0) into 0 4.819 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 n))) 2) (+)) (* 2 (sqrt n))) into (* -1/8 (sqrt (/ 1 (pow n 3)))) 4.819 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow n 3)))) in n 4.819 * [taylor]: Taking taylor expansion of -1/8 in n 4.819 * [backup-simplify]: Simplify -1/8 into -1/8 4.819 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 4.819 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.819 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.819 * [taylor]: Taking taylor expansion of n in n 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.819 * [backup-simplify]: Simplify (* 1 1) into 1 4.820 * [backup-simplify]: Simplify (* 1 1) into 1 4.820 * [backup-simplify]: Simplify (/ 1 1) into 1 4.821 * [backup-simplify]: Simplify (sqrt 0) into 0 4.822 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.827 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.829 * [backup-simplify]: Simplify (+ (* -1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.829 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.830 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 f) 2)) (+ (* +nan.0 (* n 1)) (* (- +nan.0) (* 1 f)))) into (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 4.831 * [backup-simplify]: Simplify (sqrt (+ (/ 1 f) (/ 1 n))) into (sqrt (+ (/ 1 f) (/ 1 n))) 4.831 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 4.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 4.831 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.831 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.831 * [taylor]: Taking taylor expansion of f in n 4.831 * [backup-simplify]: Simplify f into f 4.831 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.831 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.831 * [taylor]: Taking taylor expansion of n in n 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 1 into 1 4.832 * [backup-simplify]: Simplify (/ 1 1) into 1 4.837 * [backup-simplify]: Simplify (+ 0 1) into 1 4.838 * [backup-simplify]: Simplify (sqrt 0) into 0 4.839 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 4.839 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.839 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.839 * [taylor]: Taking taylor expansion of f in f 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.840 * [backup-simplify]: Simplify (/ 1 1) into 1 4.840 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.840 * [taylor]: Taking taylor expansion of n in f 4.840 * [backup-simplify]: Simplify n into n 4.840 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.840 * [backup-simplify]: Simplify (+ 1 0) into 1 4.841 * [backup-simplify]: Simplify (sqrt 0) into 0 4.842 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 4.842 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.842 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.842 * [taylor]: Taking taylor expansion of f in f 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 1 into 1 4.843 * [backup-simplify]: Simplify (/ 1 1) into 1 4.843 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.843 * [taylor]: Taking taylor expansion of n in f 4.843 * [backup-simplify]: Simplify n into n 4.843 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.844 * [backup-simplify]: Simplify (+ 1 0) into 1 4.844 * [backup-simplify]: Simplify (sqrt 0) into 0 4.845 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.845 * [taylor]: Taking taylor expansion of 0 in n 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [taylor]: Taking taylor expansion of +nan.0 in n 4.846 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.846 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.848 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 4.848 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 4.848 * [taylor]: Taking taylor expansion of +nan.0 in n 4.848 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.848 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 4.848 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.848 * [taylor]: Taking taylor expansion of n in n 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (/ 1 1) into 1 4.848 * [taylor]: Taking taylor expansion of +nan.0 in n 4.848 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.849 * [backup-simplify]: Simplify (+ 1 0) into 1 4.849 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 4.849 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.849 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.849 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.851 * [backup-simplify]: Simplify (+ 0 0) into 0 4.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.852 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 4.852 * [taylor]: Taking taylor expansion of +nan.0 in n 4.852 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.852 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 4.852 * [taylor]: Taking taylor expansion of +nan.0 in n 4.852 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.852 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 4.852 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.852 * [taylor]: Taking taylor expansion of +nan.0 in n 4.852 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.852 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.852 * [taylor]: Taking taylor expansion of n in n 4.852 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify 1 into 1 4.852 * [backup-simplify]: Simplify (/ 1 1) into 1 4.853 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 4.853 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.854 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 4.855 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 4.855 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.855 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 n)) (pow (/ 1 f) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 n)) (/ 1 f))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 4.855 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) into (sqrt (- (+ (/ 1 f) (/ 1 n)))) 4.855 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 4.855 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 4.856 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 4.856 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.856 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.856 * [taylor]: Taking taylor expansion of f in n 4.856 * [backup-simplify]: Simplify f into f 4.856 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.856 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.856 * [taylor]: Taking taylor expansion of n in n 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 1 into 1 4.856 * [backup-simplify]: Simplify (/ 1 1) into 1 4.857 * [backup-simplify]: Simplify (+ 0 1) into 1 4.857 * [backup-simplify]: Simplify (- 1) into -1 4.857 * [backup-simplify]: Simplify (sqrt 0) into 0 4.858 * [backup-simplify]: Simplify (- 1) into -1 4.860 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.860 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 4.860 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 4.860 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.860 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.860 * [taylor]: Taking taylor expansion of f in f 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 1 into 1 4.860 * [backup-simplify]: Simplify (/ 1 1) into 1 4.860 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.860 * [taylor]: Taking taylor expansion of n in f 4.860 * [backup-simplify]: Simplify n into n 4.860 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.861 * [backup-simplify]: Simplify (+ 1 0) into 1 4.861 * [backup-simplify]: Simplify (- 1) into -1 4.862 * [backup-simplify]: Simplify (sqrt 0) into 0 4.862 * [backup-simplify]: Simplify (- 1) into -1 4.863 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.863 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 4.864 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 4.864 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.864 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.864 * [taylor]: Taking taylor expansion of f in f 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 1 into 1 4.864 * [backup-simplify]: Simplify (/ 1 1) into 1 4.864 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.864 * [taylor]: Taking taylor expansion of n in f 4.864 * [backup-simplify]: Simplify n into n 4.864 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.865 * [backup-simplify]: Simplify (+ 1 0) into 1 4.865 * [backup-simplify]: Simplify (- 1) into -1 4.865 * [backup-simplify]: Simplify (sqrt 0) into 0 4.866 * [backup-simplify]: Simplify (- 1) into -1 4.867 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.867 * [taylor]: Taking taylor expansion of 0 in n 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [taylor]: Taking taylor expansion of +nan.0 in n 4.867 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.867 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.868 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.868 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.870 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 4.870 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 n))) in n 4.870 * [taylor]: Taking taylor expansion of +nan.0 in n 4.870 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.870 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 n)) in n 4.870 * [taylor]: Taking taylor expansion of +nan.0 in n 4.870 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.870 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.870 * [taylor]: Taking taylor expansion of n in n 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (/ 1 1) into 1 4.871 * [backup-simplify]: Simplify (+ 0 1) into 1 4.871 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 4.871 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.872 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.872 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.873 * [backup-simplify]: Simplify (+ 0 0) into 0 4.873 * [backup-simplify]: Simplify (- 0) into 0 4.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.874 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 4.874 * [taylor]: Taking taylor expansion of +nan.0 in n 4.874 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.874 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 4.874 * [taylor]: Taking taylor expansion of +nan.0 in n 4.874 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.874 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 4.874 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.874 * [taylor]: Taking taylor expansion of +nan.0 in n 4.874 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.874 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.874 * [taylor]: Taking taylor expansion of n in n 4.874 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify 1 into 1 4.875 * [backup-simplify]: Simplify (/ 1 1) into 1 4.875 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 4.876 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.877 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 4.877 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 4.877 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.878 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 4.878 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 4.878 * [backup-simplify]: Simplify (sqrt (+ f n)) into (sqrt (+ n f)) 4.878 * [approximate]: Taking taylor expansion of (sqrt (+ n f)) in (f n) around 0 4.878 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 4.878 * [taylor]: Taking taylor expansion of (+ n f) in n 4.878 * [taylor]: Taking taylor expansion of n in n 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify 1 into 1 4.878 * [taylor]: Taking taylor expansion of f in n 4.878 * [backup-simplify]: Simplify f into f 4.878 * [backup-simplify]: Simplify (+ 0 f) into f 4.878 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 4.879 * [backup-simplify]: Simplify (+ 1 0) into 1 4.879 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 4.879 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 4.879 * [taylor]: Taking taylor expansion of (+ n f) in f 4.879 * [taylor]: Taking taylor expansion of n in f 4.879 * [backup-simplify]: Simplify n into n 4.879 * [taylor]: Taking taylor expansion of f in f 4.879 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify 1 into 1 4.879 * [backup-simplify]: Simplify (+ n 0) into n 4.879 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 4.880 * [backup-simplify]: Simplify (+ 0 1) into 1 4.880 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 4.880 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 4.880 * [taylor]: Taking taylor expansion of (+ n f) in f 4.880 * [taylor]: Taking taylor expansion of n in f 4.880 * [backup-simplify]: Simplify n into n 4.880 * [taylor]: Taking taylor expansion of f in f 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 1 into 1 4.880 * [backup-simplify]: Simplify (+ n 0) into n 4.880 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 4.881 * [backup-simplify]: Simplify (+ 0 1) into 1 4.881 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 4.881 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.881 * [taylor]: Taking taylor expansion of n in n 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 1 into 1 4.881 * [backup-simplify]: Simplify (sqrt 0) into 0 4.883 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 n))) in n 4.883 * [taylor]: Taking taylor expansion of 1/2 in n 4.883 * [backup-simplify]: Simplify 1/2 into 1/2 4.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.883 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.883 * [taylor]: Taking taylor expansion of n in n 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [backup-simplify]: Simplify (/ 1 1) into 1 4.884 * [backup-simplify]: Simplify (sqrt 0) into 0 4.885 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.886 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 4.887 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.887 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.887 * [backup-simplify]: Simplify (+ 0 0) into 0 4.888 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 n))) 2) (+)) (* 2 (sqrt n))) into (* -1/8 (sqrt (/ 1 (pow n 3)))) 4.888 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow n 3)))) in n 4.888 * [taylor]: Taking taylor expansion of -1/8 in n 4.888 * [backup-simplify]: Simplify -1/8 into -1/8 4.888 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 4.888 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.888 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.888 * [taylor]: Taking taylor expansion of n in n 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 1 into 1 4.888 * [backup-simplify]: Simplify (* 1 1) into 1 4.888 * [backup-simplify]: Simplify (* 1 1) into 1 4.888 * [backup-simplify]: Simplify (/ 1 1) into 1 4.889 * [backup-simplify]: Simplify (sqrt 0) into 0 4.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.892 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.894 * [backup-simplify]: Simplify (+ (* -1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.894 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.895 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 f) 2)) (+ (* +nan.0 (* n 1)) (* (- +nan.0) (* 1 f)))) into (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 4.895 * [backup-simplify]: Simplify (sqrt (+ (/ 1 f) (/ 1 n))) into (sqrt (+ (/ 1 f) (/ 1 n))) 4.895 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 4.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 4.895 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.895 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.895 * [taylor]: Taking taylor expansion of f in n 4.895 * [backup-simplify]: Simplify f into f 4.895 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.895 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.895 * [taylor]: Taking taylor expansion of n in n 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (/ 1 1) into 1 4.895 * [backup-simplify]: Simplify (+ 0 1) into 1 4.896 * [backup-simplify]: Simplify (sqrt 0) into 0 4.896 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 4.896 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.896 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.897 * [taylor]: Taking taylor expansion of f in f 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (/ 1 1) into 1 4.897 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.897 * [taylor]: Taking taylor expansion of n in f 4.897 * [backup-simplify]: Simplify n into n 4.897 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.897 * [backup-simplify]: Simplify (+ 1 0) into 1 4.897 * [backup-simplify]: Simplify (sqrt 0) into 0 4.898 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 4.898 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.898 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.898 * [taylor]: Taking taylor expansion of f in f 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.899 * [backup-simplify]: Simplify (/ 1 1) into 1 4.899 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.899 * [taylor]: Taking taylor expansion of n in f 4.899 * [backup-simplify]: Simplify n into n 4.899 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.899 * [backup-simplify]: Simplify (+ 1 0) into 1 4.899 * [backup-simplify]: Simplify (sqrt 0) into 0 4.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.900 * [taylor]: Taking taylor expansion of 0 in n 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [taylor]: Taking taylor expansion of +nan.0 in n 4.900 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.900 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.901 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.901 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 4.901 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 4.901 * [taylor]: Taking taylor expansion of +nan.0 in n 4.901 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.901 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 4.901 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.901 * [taylor]: Taking taylor expansion of n in n 4.901 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.902 * [taylor]: Taking taylor expansion of +nan.0 in n 4.902 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.902 * [backup-simplify]: Simplify (+ 1 0) into 1 4.902 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 4.902 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.902 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.902 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.903 * [backup-simplify]: Simplify (+ 0 0) into 0 4.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.904 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 4.904 * [taylor]: Taking taylor expansion of +nan.0 in n 4.904 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.904 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 4.904 * [taylor]: Taking taylor expansion of +nan.0 in n 4.904 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.904 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 4.904 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.904 * [taylor]: Taking taylor expansion of +nan.0 in n 4.904 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.904 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.904 * [taylor]: Taking taylor expansion of n in n 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [backup-simplify]: Simplify (/ 1 1) into 1 4.905 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 4.905 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.905 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 4.906 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 4.906 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.906 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 n)) (pow (/ 1 f) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 n)) (/ 1 f))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 4.906 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) into (sqrt (- (+ (/ 1 f) (/ 1 n)))) 4.906 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 4.906 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 4.906 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 4.906 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.906 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.906 * [taylor]: Taking taylor expansion of f in n 4.906 * [backup-simplify]: Simplify f into f 4.906 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.906 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.906 * [taylor]: Taking taylor expansion of n in n 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 1 into 1 4.907 * [backup-simplify]: Simplify (/ 1 1) into 1 4.907 * [backup-simplify]: Simplify (+ 0 1) into 1 4.907 * [backup-simplify]: Simplify (- 1) into -1 4.908 * [backup-simplify]: Simplify (sqrt 0) into 0 4.908 * [backup-simplify]: Simplify (- 1) into -1 4.909 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.909 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 4.909 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 4.909 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.909 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.909 * [taylor]: Taking taylor expansion of f in f 4.909 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify 1 into 1 4.909 * [backup-simplify]: Simplify (/ 1 1) into 1 4.909 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.909 * [taylor]: Taking taylor expansion of n in f 4.909 * [backup-simplify]: Simplify n into n 4.909 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.909 * [backup-simplify]: Simplify (+ 1 0) into 1 4.910 * [backup-simplify]: Simplify (- 1) into -1 4.910 * [backup-simplify]: Simplify (sqrt 0) into 0 4.910 * [backup-simplify]: Simplify (- 1) into -1 4.911 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.911 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 4.911 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 4.911 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.911 * [taylor]: Taking taylor expansion of f in f 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (/ 1 1) into 1 4.911 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.911 * [taylor]: Taking taylor expansion of n in f 4.911 * [backup-simplify]: Simplify n into n 4.911 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.912 * [backup-simplify]: Simplify (+ 1 0) into 1 4.912 * [backup-simplify]: Simplify (- 1) into -1 4.912 * [backup-simplify]: Simplify (sqrt 0) into 0 4.912 * [backup-simplify]: Simplify (- 1) into -1 4.913 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.913 * [taylor]: Taking taylor expansion of 0 in n 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of +nan.0 in n 4.913 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.913 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.914 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.914 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.915 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 4.915 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 n))) in n 4.915 * [taylor]: Taking taylor expansion of +nan.0 in n 4.915 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.915 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 n)) in n 4.915 * [taylor]: Taking taylor expansion of +nan.0 in n 4.915 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.915 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.915 * [taylor]: Taking taylor expansion of n in n 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [backup-simplify]: Simplify (/ 1 1) into 1 4.916 * [backup-simplify]: Simplify (+ 0 1) into 1 4.916 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 4.916 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.916 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.917 * [backup-simplify]: Simplify (+ 0 0) into 0 4.917 * [backup-simplify]: Simplify (- 0) into 0 4.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 4.917 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 4.917 * [taylor]: Taking taylor expansion of +nan.0 in n 4.917 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.917 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 4.918 * [taylor]: Taking taylor expansion of +nan.0 in n 4.918 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.918 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 4.918 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 4.918 * [taylor]: Taking taylor expansion of +nan.0 in n 4.918 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.918 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.918 * [taylor]: Taking taylor expansion of n in n 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 1 into 1 4.918 * [backup-simplify]: Simplify (/ 1 1) into 1 4.918 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 4.918 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.919 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 4.920 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 4.920 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.920 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 4.920 * * * [progress]: simplifying candidates 4.920 * * * * [progress]: [ 1 / 242 ] simplifiying candidate # 4.920 * * * * [progress]: [ 2 / 242 ] simplifiying candidate # 4.920 * * * * [progress]: [ 3 / 242 ] simplifiying candidate # 4.920 * * * * [progress]: [ 4 / 242 ] 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simplifiying candidate # 4.930 * * * * [progress]: [ 233 / 242 ] simplifiying candidate # 4.930 * * * * [progress]: [ 234 / 242 ] simplifiying candidate # 4.930 * * * * [progress]: [ 235 / 242 ] simplifiying candidate # 4.930 * * * * [progress]: [ 236 / 242 ] simplifiying candidate # 4.930 * * * * [progress]: [ 237 / 242 ] simplifiying candidate # 4.930 * * * * [progress]: [ 238 / 242 ] simplifiying candidate # 4.930 * * * * [progress]: [ 239 / 242 ] simplifiying candidate # 4.930 * * * * [progress]: [ 240 / 242 ] simplifiying candidate # 4.930 * * * * [progress]: [ 241 / 242 ] simplifiying candidate # 4.930 * * * * [progress]: [ 242 / 242 ] simplifiying candidate # 4.932 * [simplify]: Simplifying: (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n))) (+ (- (log (- (sqrt (+ f n)))) 0) (- (log (sqrt (+ f n))) (log (- f n)))) (+ (- (log (- (sqrt (+ f n)))) 0) (log (/ (sqrt (+ f n)) (- f n)))) (+ (- (log (- (sqrt (+ f n)))) (log 1)) (- (log (sqrt (+ f n))) (log (- f n)))) (+ (- (log (- (sqrt (+ f n)))) (log 1)) (log (/ (sqrt (+ f n)) (- f n)))) (+ (log (/ (- (sqrt (+ f n))) 1)) (- (log (sqrt (+ f n))) (log (- f n)))) (+ (log (/ (- (sqrt (+ f n))) 1)) (log (/ (sqrt (+ f n)) (- f n)))) (log (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (exp (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (* (/ (* (* (- (sqrt (+ f n))) (- (sqrt (+ f n)))) (- (sqrt (+ f n)))) (* (* 1 1) 1)) (/ (* (* (sqrt (+ f n)) (sqrt (+ f n))) (sqrt (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (/ (* (* (- (sqrt (+ f n))) (- (sqrt (+ f n)))) (- (sqrt (+ f n)))) (* (* 1 1) 1)) (* (* (/ (sqrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (- f n)))) (* (* (* (/ (- (sqrt (+ f n))) 1) (/ (- (sqrt (+ f n))) 1)) (/ (- (sqrt (+ f n))) 1)) (/ (* (* (sqrt (+ f n)) (sqrt (+ f n))) (sqrt (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (/ (- (sqrt (+ f n))) 1) (/ (- (sqrt (+ f n))) 1)) (/ (- (sqrt (+ f n))) 1)) (* (* (/ (sqrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (- f n)))) (* (cbrt (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (cbrt (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n))))) (cbrt (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (* (* (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n))) (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (sqrt (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (sqrt (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (* (- (sqrt (+ f n))) (sqrt (+ f n))) (* 1 (- f n)) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (/ (sqrt (sqrt (+ 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+nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 4.936 * * [simplify]: iteration 0: 274 enodes 5.084 * * [simplify]: iteration 1: 827 enodes 5.460 * * [simplify]: iteration 2: 2323 enodes 6.346 * * [simplify]: iteration complete: 5002 enodes 6.346 * * [simplify]: Extracting #0: cost 109 inf + 0 6.350 * * [simplify]: Extracting #1: cost 783 inf + 4 6.366 * * [simplify]: Extracting #2: cost 1307 inf + 136 6.382 * * [simplify]: Extracting #3: cost 1232 inf + 24685 6.410 * * [simplify]: Extracting #4: cost 582 inf + 157878 6.474 * * [simplify]: Extracting #5: cost 112 inf + 295194 6.538 * * [simplify]: Extracting #6: cost 28 inf + 327847 6.611 * * [simplify]: Extracting #7: cost 6 inf + 333041 6.714 * * [simplify]: Extracting #8: cost 0 inf + 334859 6.815 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) 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f))))) 0 (+ (* (- f) (* f +nan.0)) (* +nan.0 (- n f))) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) (+ (* (- f) (* f +nan.0)) (* +nan.0 (- n f))) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) 6.846 * * * [progress]: adding candidates to table 7.770 * [progress]: [Phase 3 of 3] Extracting. 7.770 * * [regime]: Finding splitpoints for: (# # #) 7.772 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 7.772 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 7.815 * * * * [regimes]: Trying to branch on n from (# # #) 7.861 * * * * [regimes]: Trying to branch on f from (# # #) 7.890 * * * [regime]: Found split indices: #