13.363 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.056 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.057 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.058 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.058 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.074 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.080 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.080 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [taylor]: Taking taylor expansion of (log N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (log N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.104 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.104 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.104 * [taylor]: Taking taylor expansion of N in N 0.104 * [taylor]: Taking taylor expansion of 1.0 in N 0.105 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.105 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.106 * [taylor]: Taking taylor expansion of 1.0 in N 0.106 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.106 * [taylor]: Taking taylor expansion of N in N 0.136 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.136 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.136 * [taylor]: Taking taylor expansion of 1.0 in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.137 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.137 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.137 * [taylor]: Taking taylor expansion of -1 in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.138 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.139 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.139 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.139 * [taylor]: Taking taylor expansion of -1 in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.178 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.178 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.178 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.178 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.178 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [taylor]: Taking taylor expansion of 1.0 in N 0.191 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.218 * * * [progress]: simplifying candidates 0.219 * [simplify]: Simplifying using # : (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.224 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.228 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.245 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.342 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.345 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) 0.345 * * * [progress]: adding candidates to table 0.461 * * [progress]: iteration 2 / 4 0.461 * * * [progress]: picking best candidate 0.464 * * * * [pick]: Picked # 0.464 * * * [progress]: localizing error 0.473 * * * [progress]: generating rewritten candidates 0.473 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.478 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.479 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.492 * * * [progress]: generating series expansions 0.492 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.493 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.493 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.493 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.501 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.501 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.509 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.509 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.509 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.509 * [taylor]: Taking taylor expansion of N in N 0.513 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.513 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in (N) around 0 0.513 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.513 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.513 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.513 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.514 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.514 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.514 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.514 * [taylor]: Taking taylor expansion of 0.5 in N 0.514 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.514 * [taylor]: Taking taylor expansion of 1.0 in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.515 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.515 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.515 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.515 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.515 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.515 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.515 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.516 * [taylor]: Taking taylor expansion of 0.5 in N 0.516 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.516 * [taylor]: Taking taylor expansion of 1.0 in N 0.516 * [taylor]: Taking taylor expansion of N in N 0.525 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in (N) around 0 0.525 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.525 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.526 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.526 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.526 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.526 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [taylor]: Taking taylor expansion of 0.5 in N 0.526 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.526 * [taylor]: Taking taylor expansion of 1.0 in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.526 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.526 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.526 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.526 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.526 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.526 * [taylor]: Taking taylor expansion of 0.5 in N 0.526 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.526 * [taylor]: Taking taylor expansion of 1.0 in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.535 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in (N) around 0 0.535 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.535 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.535 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.535 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.535 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.535 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.535 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.535 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.535 * [taylor]: Taking taylor expansion of 0.5 in N 0.535 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.535 * [taylor]: Taking taylor expansion of -1.0 in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.535 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.535 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.535 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.535 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.535 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.535 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.535 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.535 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.535 * [taylor]: Taking taylor expansion of 0.5 in N 0.535 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.535 * [taylor]: Taking taylor expansion of -1.0 in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.546 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.546 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in (N) around 0 0.546 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.546 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.546 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.546 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of 0.5 in N 0.546 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.546 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.547 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.547 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.547 * [taylor]: Taking taylor expansion of N in N 0.547 * [taylor]: Taking taylor expansion of 0.5 in N 0.559 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in (N) around 0 0.559 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.559 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.559 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.559 * [taylor]: Taking taylor expansion of 0.5 in N 0.559 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.559 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.559 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.559 * [taylor]: Taking taylor expansion of 0.5 in N 0.569 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.569 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.569 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.569 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.569 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [taylor]: Taking taylor expansion of 0.5 in N 0.569 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.569 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.569 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.569 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [taylor]: Taking taylor expansion of 0.5 in N 0.579 * * * [progress]: simplifying candidates 0.582 * [simplify]: Simplifying using # : (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (expm1 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (* (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (sqrt (/ 0.3333333333333333 N)) (sqrt (/ 0.3333333333333333 N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ 1 (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (cbrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma (/ 1 1) (/ 0.3333333333333333 N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma 1 (/ 0.3333333333333333 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma 1 (/ 0.3333333333333333 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma 1 (/ 0.3333333333333333 N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (fma 0.3333333333333333 (/ 1 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (fma 0.3333333333333333 (/ 1 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (fma 0.3333333333333333 (/ 1 N) (- (* 0.5 1))) (fma (- 0.5) 1 (* 0.5 1)) (expm1 (- (/ 0.3333333333333333 N) 0.5)) (log1p (- (/ 0.3333333333333333 N) 0.5)) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (/ (exp (/ 0.3333333333333333 N)) (exp 0.5)) (log (- (/ 0.3333333333333333 N) 0.5)) (exp (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (cbrt (- (/ 0.3333333333333333 N) 0.5)) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) (- 0.5) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (+ (/ 0.3333333333333333 N) 0.5) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ 0.3333333333333333 N) 0.5) (- 0.5) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.593 * * [simplify]: iteration 0 : 425 enodes (cost 1067 ) 0.601 * * [simplify]: iteration 1 : 1442 enodes (cost 713 ) 0.629 * * [simplify]: iteration 2 : 5001 enodes (cost 631 ) 0.634 * [simplify]: Simplified to: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (fabs (/ 1 N)) (fabs (/ 1 N)) (- 1) (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (expm1 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (pow (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) 3) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (- (* (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N))) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (/ (pow (cbrt N) 2) (cbrt 0.3333333333333333)))) 0.5) (fma (- 0.5) 1 0.5) (- (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (/ (pow (cbrt N) 2) (cbrt 0.3333333333333333)))) 0.5) (fma (- 0.5) 1 0.5) (- (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (/ (pow (cbrt N) 2) (cbrt 0.3333333333333333)))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (* (cbrt 0.3333333333333333) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N))) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (cbrt N))) (pow (cbrt N) 2)) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (cbrt N))) (pow (cbrt N) 2)) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (cbrt N))) (pow (cbrt N) 2)) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (/ 1 (pow (cbrt N) 2)) 0.3333333333333333) (cbrt N)) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (/ 1 (pow (cbrt N) 2)) 0.3333333333333333) (cbrt N)) 0.5) (fma (- 0.5) 1 0.5) (- (/ (* (/ 1 (pow (cbrt N) 2)) 0.3333333333333333) (cbrt N)) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (- (/ 0.3333333333333333 N) 0.5) (fma (- 0.5) 1 0.5) (expm1 (- (/ 0.3333333333333333 N) 0.5)) (log1p (- (/ 0.3333333333333333 N) 0.5)) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (- 0.5) (exp (- (/ 0.3333333333333333 N) 0.5)) (log (- (/ 0.3333333333333333 N) 0.5)) (exp (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (cbrt (- (/ 0.3333333333333333 N) 0.5)) (pow (- (/ 0.3333333333333333 N) 0.5) 3) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (fma (/ 0.3333333333333333 N) (/ 0.3333333333333333 N) (fma 0.5 0.5 (* (/ 0.3333333333333333 N) 0.5))) (- 0.5) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (+ (/ 0.3333333333333333 N) 0.5) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) (- (/ 0.3333333333333333 N) 0.5) (- 0.5) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5) 0.635 * * * [progress]: adding candidates to table 0.804 * * [progress]: iteration 3 / 4 0.804 * * * [progress]: picking best candidate 0.810 * * * * [pick]: Picked # 0.810 * * * [progress]: localizing error 0.822 * * * [progress]: generating rewritten candidates 0.822 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.824 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.825 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.830 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.842 * * * [progress]: generating series expansions 0.842 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.842 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in (N) around 0 0.843 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in N 0.843 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.843 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.843 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.843 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.844 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.844 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.844 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.844 * [taylor]: Taking taylor expansion of N in N 0.844 * [taylor]: Taking taylor expansion of 0.5 in N 0.844 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.844 * [taylor]: Taking taylor expansion of 1.0 in N 0.844 * [taylor]: Taking taylor expansion of N in N 0.847 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in N 0.847 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.847 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.847 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.847 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.847 * [taylor]: Taking taylor expansion of N in N 0.848 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.848 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.848 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.848 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.848 * [taylor]: Taking taylor expansion of N in N 0.848 * [taylor]: Taking taylor expansion of 0.5 in N 0.848 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.848 * [taylor]: Taking taylor expansion of 1.0 in N 0.848 * [taylor]: Taking taylor expansion of N in N 0.863 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in (N) around 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in N 0.863 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.863 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.863 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.863 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.863 * [taylor]: Taking taylor expansion of N in N 0.863 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.863 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.863 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.863 * [taylor]: Taking taylor expansion of N in N 0.863 * [taylor]: Taking taylor expansion of 0.5 in N 0.863 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.863 * [taylor]: Taking taylor expansion of 1.0 in N 0.863 * [taylor]: Taking taylor expansion of N in N 0.866 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in N 0.866 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.866 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.866 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.866 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.866 * [taylor]: Taking taylor expansion of N in N 0.866 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.866 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.866 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.866 * [taylor]: Taking taylor expansion of N in N 0.866 * [taylor]: Taking taylor expansion of 0.5 in N 0.866 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.866 * [taylor]: Taking taylor expansion of 1.0 in N 0.866 * [taylor]: Taking taylor expansion of N in N 0.880 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in (N) around 0 0.880 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in N 0.880 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.880 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.880 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.880 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.880 * [taylor]: Taking taylor expansion of N in N 0.880 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.880 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.880 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.880 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.880 * [taylor]: Taking taylor expansion of N in N 0.880 * [taylor]: Taking taylor expansion of 0.5 in N 0.880 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.880 * [taylor]: Taking taylor expansion of -1.0 in N 0.880 * [taylor]: Taking taylor expansion of N in N 0.884 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in N 0.884 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.884 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.884 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.884 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.884 * [taylor]: Taking taylor expansion of N in N 0.884 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.884 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.884 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.884 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.884 * [taylor]: Taking taylor expansion of N in N 0.884 * [taylor]: Taking taylor expansion of 0.5 in N 0.884 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.884 * [taylor]: Taking taylor expansion of -1.0 in N 0.884 * [taylor]: Taking taylor expansion of N in N 0.899 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.899 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in (N) around 0 0.899 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in N 0.899 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.899 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.899 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.899 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.899 * [taylor]: Taking taylor expansion of N in N 0.900 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.900 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.900 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.900 * [taylor]: Taking taylor expansion of 0.5 in N 0.901 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.901 * [taylor]: Taking taylor expansion of 1.0 in N 0.901 * [taylor]: Taking taylor expansion of N in N 0.903 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in N 0.903 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.903 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.903 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.903 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.903 * [taylor]: Taking taylor expansion of N in N 0.904 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.904 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.904 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.904 * [taylor]: Taking taylor expansion of N in N 0.904 * [taylor]: Taking taylor expansion of 0.5 in N 0.904 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.904 * [taylor]: Taking taylor expansion of 1.0 in N 0.904 * [taylor]: Taking taylor expansion of N in N 0.924 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in (N) around 0 0.924 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in N 0.924 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.924 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.924 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.924 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.924 * [taylor]: Taking taylor expansion of N in N 0.925 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.925 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.925 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.925 * [taylor]: Taking taylor expansion of N in N 0.925 * [taylor]: Taking taylor expansion of 0.5 in N 0.925 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.925 * [taylor]: Taking taylor expansion of 1.0 in N 0.925 * [taylor]: Taking taylor expansion of N in N 0.927 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in N 0.927 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.927 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.927 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.927 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.928 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.928 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.928 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.928 * [taylor]: Taking taylor expansion of 0.5 in N 0.928 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.928 * [taylor]: Taking taylor expansion of 1.0 in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.942 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in (N) around 0 0.942 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in N 0.942 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.942 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.942 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.942 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.942 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.942 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.942 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.942 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.942 * [taylor]: Taking taylor expansion of 0.5 in N 0.942 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.942 * [taylor]: Taking taylor expansion of -1.0 in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.946 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in N 0.946 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.946 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.946 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.946 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.946 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.946 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.946 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.946 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.946 * [taylor]: Taking taylor expansion of 0.5 in N 0.946 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.946 * [taylor]: Taking taylor expansion of -1.0 in N 0.946 * [taylor]: Taking taylor expansion of N in N 0.961 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.961 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.961 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.961 * [taylor]: Taking taylor expansion of N in N 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.962 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.962 * [taylor]: Taking taylor expansion of N in N 0.969 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.969 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.969 * [taylor]: Taking taylor expansion of N in N 0.969 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.969 * [taylor]: Taking taylor expansion of N in N 0.973 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.973 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.973 * [taylor]: Taking taylor expansion of N in N 0.973 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.973 * [taylor]: Taking taylor expansion of N in N 0.977 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.977 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.977 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.977 * [taylor]: Taking taylor expansion of N in N 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.978 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.978 * [taylor]: Taking taylor expansion of N in N 0.985 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.985 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.985 * [taylor]: Taking taylor expansion of N in N 0.985 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.985 * [taylor]: Taking taylor expansion of N in N 0.989 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.989 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.989 * [taylor]: Taking taylor expansion of N in N 0.989 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.989 * [taylor]: Taking taylor expansion of N in N 0.993 * * * [progress]: simplifying candidates 0.995 * [simplify]: Simplifying using # : (expm1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log1p (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (exp (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (* (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (sqrt (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt 1) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ 1 2) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (expm1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log1p (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (exp (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (* (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (sqrt (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt 1) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ 1 2) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) 1.002 * * [simplify]: iteration 0 : 237 enodes (cost 852 ) 1.006 * * [simplify]: iteration 1 : 849 enodes (cost 730 ) 1.028 * * [simplify]: iteration 2 : 5002 enodes (cost 634 ) 1.039 * [simplify]: Simplified to: (expm1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log1p (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (exp (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (pow (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) 3) (fabs (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) 1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) 1/2 (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (expm1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log1p (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (exp (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (pow (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) 3) (fabs (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) 1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) 1/2 (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (fabs (/ 1 N)) (fabs (/ 1 N)) (- 1) (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (fabs (/ 1 N)) (fabs (/ 1 N)) (- 1) (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (+ (fma +nan.0 N (- +nan.0)) (/ (- +nan.0) N)) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (+ (fma +nan.0 N (- +nan.0)) (/ (- +nan.0) N)) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) 1.040 * * * [progress]: adding candidates to table 1.295 * * [progress]: iteration 4 / 4 1.295 * * * [progress]: picking best candidate 1.298 * * * * [pick]: Picked # 1.299 * * * [progress]: localizing error 1.303 * * * [progress]: generating rewritten candidates 1.303 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.308 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.319 * * * [progress]: generating series expansions 1.319 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.319 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.319 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.319 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.319 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.319 * [taylor]: Taking taylor expansion of N in N 1.319 * [taylor]: Taking taylor expansion of 1.0 in N 1.319 * [taylor]: Taking taylor expansion of N in N 1.320 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.320 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.320 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.320 * [taylor]: Taking taylor expansion of N in N 1.320 * [taylor]: Taking taylor expansion of 1.0 in N 1.320 * [taylor]: Taking taylor expansion of N in N 1.334 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.334 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.334 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.334 * [taylor]: Taking taylor expansion of N in N 1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.334 * [taylor]: Taking taylor expansion of N in N 1.334 * [taylor]: Taking taylor expansion of 1.0 in N 1.336 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.336 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.336 * [taylor]: Taking taylor expansion of N in N 1.336 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.336 * [taylor]: Taking taylor expansion of N in N 1.337 * [taylor]: Taking taylor expansion of 1.0 in N 1.362 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.362 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.362 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.362 * [taylor]: Taking taylor expansion of -1 in N 1.362 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.362 * [taylor]: Taking taylor expansion of N in N 1.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.362 * [taylor]: Taking taylor expansion of 1.0 in N 1.362 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.363 * [taylor]: Taking taylor expansion of N in N 1.366 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.366 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.366 * [taylor]: Taking taylor expansion of -1 in N 1.366 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.366 * [taylor]: Taking taylor expansion of N in N 1.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.366 * [taylor]: Taking taylor expansion of 1.0 in N 1.366 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.366 * [taylor]: Taking taylor expansion of N in N 1.404 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.404 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.404 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.404 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.404 * [taylor]: Taking taylor expansion of N in N 1.404 * [taylor]: Taking taylor expansion of 1.0 in N 1.404 * [taylor]: Taking taylor expansion of N in N 1.405 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.405 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.405 * [taylor]: Taking taylor expansion of N in N 1.405 * [taylor]: Taking taylor expansion of 1.0 in N 1.405 * [taylor]: Taking taylor expansion of N in N 1.412 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.412 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.412 * [taylor]: Taking taylor expansion of N in N 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.412 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.412 * [taylor]: Taking taylor expansion of N in N 1.412 * [taylor]: Taking taylor expansion of 1.0 in N 1.412 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.412 * [taylor]: Taking taylor expansion of N in N 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.412 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.412 * [taylor]: Taking taylor expansion of N in N 1.412 * [taylor]: Taking taylor expansion of 1.0 in N 1.426 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.426 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.426 * [taylor]: Taking taylor expansion of -1 in N 1.426 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.426 * [taylor]: Taking taylor expansion of N in N 1.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.426 * [taylor]: Taking taylor expansion of 1.0 in N 1.426 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.426 * [taylor]: Taking taylor expansion of N in N 1.426 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.426 * [taylor]: Taking taylor expansion of -1 in N 1.426 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.426 * [taylor]: Taking taylor expansion of N in N 1.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.426 * [taylor]: Taking taylor expansion of 1.0 in N 1.426 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.426 * [taylor]: Taking taylor expansion of N in N 1.449 * * * [progress]: simplifying candidates 1.450 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.455 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 1.459 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 1.474 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 1.555 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 1.559 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 1.560 * * * [progress]: adding candidates to table 1.657 * [progress]: [Phase 3 of 3] Extracting. 1.657 * * [regime]: Finding splitpoints for: (# # # # #) 1.657 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.658 * * * * [regimes]: Trying to branch on N from (# # # # #) 1.681 * * * [regime]: Found split indices: #