13.781 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.055 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.056 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.057 * * [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 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.070 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.080 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 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 0.080 * [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 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.095 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.096 * [taylor]: Taking taylor expansion of 1.0 in N 0.096 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.096 * [taylor]: Taking taylor expansion of N in N 0.097 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.108 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.109 * [taylor]: Taking taylor expansion of 1.0 in N 0.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.109 * [taylor]: Taking taylor expansion of N in N 0.109 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.110 * [taylor]: Taking taylor expansion of 1.0 in N 0.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.123 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.124 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.124 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.124 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [taylor]: Taking taylor expansion of (log N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.125 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.125 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.125 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.125 * [taylor]: Taking taylor expansion of (log N) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.142 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.142 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.143 * [taylor]: Taking taylor expansion of 1.0 in N 0.143 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.144 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.144 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.145 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.177 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.177 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.178 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.180 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.180 * [taylor]: Taking taylor expansion of -1 in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.212 * * * [progress]: simplifying candidates 0.213 * [simplify]: Simplifying using # : (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))) (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)) (- (+ (* 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)))) (- (+ (* 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)))) 0.218 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.223 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.239 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.333 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.336 * [simplify]: Simplified to: (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))) (- (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)) (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))))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.336 * * * [progress]: adding candidates to table 0.451 * * [progress]: iteration 2 / 4 0.451 * * * [progress]: picking best candidate 0.456 * * * * [pick]: Picked # 0.456 * * * [progress]: localizing error 0.461 * * * [progress]: generating rewritten candidates 0.461 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.466 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.473 * * * [progress]: generating series expansions 0.473 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.473 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.474 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.474 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.474 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.475 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.475 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.475 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.475 * [taylor]: Taking taylor expansion of N in N 0.475 * [taylor]: Taking taylor expansion of 1.0 in N 0.475 * [taylor]: Taking taylor expansion of N in N 0.488 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.488 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.488 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.488 * [taylor]: Taking taylor expansion of N in N 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.488 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.488 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of 1.0 in N 0.490 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.490 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.491 * [taylor]: Taking taylor expansion of 1.0 in N 0.519 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.519 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.519 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.519 * [taylor]: Taking taylor expansion of -1 in N 0.519 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.519 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.519 * [taylor]: Taking taylor expansion of 1.0 in N 0.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.520 * [taylor]: Taking taylor expansion of N in N 0.522 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.523 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.523 * [taylor]: Taking taylor expansion of -1 in N 0.523 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.523 * [taylor]: Taking taylor expansion of N in N 0.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.523 * [taylor]: Taking taylor expansion of 1.0 in N 0.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.523 * [taylor]: Taking taylor expansion of N in N 0.554 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.554 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.554 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.554 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [taylor]: Taking taylor expansion of 1.0 in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.555 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of 1.0 in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.561 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.561 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.561 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.562 * [taylor]: Taking taylor expansion of 1.0 in N 0.562 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.562 * [taylor]: Taking taylor expansion of N in N 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.562 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.562 * [taylor]: Taking taylor expansion of N in N 0.562 * [taylor]: Taking taylor expansion of 1.0 in N 0.578 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.579 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.579 * [taylor]: Taking taylor expansion of -1 in N 0.579 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.579 * [taylor]: Taking taylor expansion of 1.0 in N 0.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.579 * [taylor]: Taking taylor expansion of -1 in N 0.579 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.579 * [taylor]: Taking taylor expansion of 1.0 in N 0.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.602 * * * [progress]: simplifying candidates 0.603 * [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) 0.607 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.612 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.626 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.704 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.707 * [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) 0.707 * * * [progress]: adding candidates to table 0.801 * * [progress]: iteration 3 / 4 0.801 * * * [progress]: picking best candidate 0.805 * * * * [pick]: Picked # 0.805 * * * [progress]: localizing error 0.819 * * * [progress]: generating rewritten candidates 0.819 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.820 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.823 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.831 * * * [progress]: generating series expansions 0.831 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.831 * [approximate]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in (N) around 0 0.831 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in N 0.831 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (/ 1 N))) 0.831 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) in N 0.831 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 0.831 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.831 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.831 * [taylor]: Taking taylor expansion of N in N 0.831 * [taylor]: Taking taylor expansion of 1.0 in N 0.837 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 0.837 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.837 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.837 * [taylor]: Taking taylor expansion of N in N 0.837 * [taylor]: Taking taylor expansion of 1.0 in N 0.843 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.843 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.843 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) in N 0.843 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (/ 1 N))) 0.843 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) in N 0.843 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 0.843 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.844 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.844 * [taylor]: Taking taylor expansion of N in N 0.844 * [taylor]: Taking taylor expansion of 1.0 in N 0.849 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 0.849 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.849 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.849 * [taylor]: Taking taylor expansion of N in N 0.849 * [taylor]: Taking taylor expansion of 1.0 in N 0.854 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.854 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.854 * [taylor]: Taking taylor expansion of N in N 0.923 * [approximate]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in (N) around 0 0.923 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in N 0.923 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) (log N)) 0.923 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) in N 0.923 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 0.923 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.923 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.923 * [taylor]: Taking taylor expansion of N in N 0.923 * [taylor]: Taking taylor expansion of 1.0 in N 0.929 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 0.929 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.929 * [taylor]: Taking taylor expansion of N in N 0.929 * [taylor]: Taking taylor expansion of 1.0 in N 0.935 * [taylor]: Taking taylor expansion of (log N) in N 0.935 * [taylor]: Taking taylor expansion of N in N 0.935 * [taylor]: Taking taylor expansion of (fma (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0))) (log N)) in N 0.935 * [taylor]: Rewrote expression to (+ (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) (log N)) 0.935 * [taylor]: Taking taylor expansion of (* (sqrt (log (+ (/ 1 N) 1.0))) (sqrt (log (+ (/ 1 N) 1.0)))) in N 0.935 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 0.935 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.935 * [taylor]: Taking taylor expansion of N in N 0.936 * [taylor]: Taking taylor expansion of 1.0 in N 0.941 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 0.941 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.941 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.941 * [taylor]: Taking taylor expansion of N in N 0.941 * [taylor]: Taking taylor expansion of 1.0 in N 0.947 * [taylor]: Taking taylor expansion of (log N) in N 0.947 * [taylor]: Taking taylor expansion of N in N 0.966 * [approximate]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in (N) around 0 0.966 * [taylor]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in N 0.966 * [taylor]: Rewrote expression to (+ (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) (log (* -1 N))) 0.966 * [taylor]: Taking taylor expansion of (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) in N 0.966 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 0.966 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.966 * [taylor]: Taking taylor expansion of 1.0 in N 0.966 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.966 * [taylor]: Taking taylor expansion of N in N 0.974 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 0.974 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.974 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.974 * [taylor]: Taking taylor expansion of 1.0 in N 0.974 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.974 * [taylor]: Taking taylor expansion of N in N 0.987 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 0.987 * [taylor]: Taking taylor expansion of (* -1 N) in N 0.987 * [taylor]: Taking taylor expansion of -1 in N 0.987 * [taylor]: Taking taylor expansion of N in N 0.988 * [taylor]: Taking taylor expansion of (fma (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N)))) (log (* -1 N))) in N 0.988 * [taylor]: Rewrote expression to (+ (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) (log (* -1 N))) 0.988 * [taylor]: Taking taylor expansion of (* (sqrt (log (- 1.0 (/ 1 N)))) (sqrt (log (- 1.0 (/ 1 N))))) in N 0.989 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 0.989 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.989 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.989 * [taylor]: Taking taylor expansion of 1.0 in N 0.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.989 * [taylor]: Taking taylor expansion of N in N 0.996 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 0.996 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.996 * [taylor]: Taking taylor expansion of 1.0 in N 0.996 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.996 * [taylor]: Taking taylor expansion of N in N 1.004 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 1.004 * [taylor]: Taking taylor expansion of (* -1 N) in N 1.004 * [taylor]: Taking taylor expansion of -1 in N 1.004 * [taylor]: Taking taylor expansion of N in N 1.032 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.033 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.033 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.033 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.033 * [taylor]: Taking taylor expansion of N in N 1.033 * [taylor]: Taking taylor expansion of 1.0 in N 1.033 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.033 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.033 * [taylor]: Taking taylor expansion of N in N 1.033 * [taylor]: Taking taylor expansion of 1.0 in N 1.044 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.044 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.044 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.044 * [taylor]: Taking taylor expansion of N in N 1.045 * [taylor]: Taking taylor expansion of 1.0 in N 1.045 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.045 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.045 * [taylor]: Taking taylor expansion of N in N 1.045 * [taylor]: Taking taylor expansion of 1.0 in N 1.057 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.057 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.057 * [taylor]: Taking taylor expansion of 1.0 in N 1.057 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.057 * [taylor]: Taking taylor expansion of N in N 1.058 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.058 * [taylor]: Taking taylor expansion of 1.0 in N 1.058 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.058 * [taylor]: Taking taylor expansion of N in N 1.078 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.078 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.078 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.078 * [taylor]: Taking taylor expansion of N in N 1.078 * [taylor]: Taking taylor expansion of 1.0 in N 1.079 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.079 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.079 * [taylor]: Taking taylor expansion of N in N 1.079 * [taylor]: Taking taylor expansion of 1.0 in N 1.090 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.090 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.090 * [taylor]: Taking taylor expansion of N in N 1.091 * [taylor]: Taking taylor expansion of 1.0 in N 1.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.091 * [taylor]: Taking taylor expansion of N in N 1.091 * [taylor]: Taking taylor expansion of 1.0 in N 1.103 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.103 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.103 * [taylor]: Taking taylor expansion of 1.0 in N 1.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.104 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.104 * [taylor]: Taking taylor expansion of 1.0 in N 1.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.104 * [taylor]: Taking taylor expansion of N in N 1.118 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.118 * [approximate]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in (N) around 0 1.118 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.118 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.118 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.118 * [taylor]: Taking taylor expansion of N in N 1.118 * [taylor]: Taking taylor expansion of 1.0 in N 1.123 * [taylor]: Taking taylor expansion of (sqrt (log (+ N 1.0))) in N 1.123 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.123 * [taylor]: Taking taylor expansion of N in N 1.123 * [taylor]: Taking taylor expansion of 1.0 in N 1.162 * [approximate]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in (N) around 0 1.162 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.162 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.162 * [taylor]: Taking taylor expansion of N in N 1.162 * [taylor]: Taking taylor expansion of 1.0 in N 1.168 * [taylor]: Taking taylor expansion of (sqrt (log (+ (/ 1 N) 1.0))) in N 1.168 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.168 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.168 * [taylor]: Taking taylor expansion of N in N 1.168 * [taylor]: Taking taylor expansion of 1.0 in N 1.182 * [approximate]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in (N) around 0 1.182 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.182 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.182 * [taylor]: Taking taylor expansion of 1.0 in N 1.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.182 * [taylor]: Taking taylor expansion of N in N 1.189 * [taylor]: Taking taylor expansion of (sqrt (log (- 1.0 (/ 1 N)))) in N 1.189 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.189 * [taylor]: Taking taylor expansion of 1.0 in N 1.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.189 * [taylor]: Taking taylor expansion of N in N 1.207 * * * [progress]: simplifying candidates 1.208 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (log (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (exp (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 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))) (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))) (expm1 (sqrt (log (+ N 1.0)))) (log1p (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (exp (sqrt (log (+ N 1.0)))) (* (cbrt (sqrt (log (+ N 1.0)))) (cbrt (sqrt (log (+ N 1.0))))) (cbrt (sqrt (log (+ N 1.0)))) (* (* (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0)))) (sqrt (log (+ N 1.0)))) (sqrt 1) (sqrt (log (+ N 1.0))) (sqrt (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (sqrt (cbrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (sqrt 1) (sqrt (log (+ N 1.0))) (/ 1 2) (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 2 (log -1))) (* 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)))) (- (+ (* 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)))) (- (+ (* 0.5 (* N (sqrt (/ 1 (log 1.0))))) (sqrt (log 1.0))) (+ (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (log 1.0) 3))))) (* 1/4 (* (/ (pow N 2) (pow 1.0 2)) (sqrt (/ 1 (log 1.0))))))) (- (+ (* 0.5 (/ 1 (* N (sqrt (- (log (/ 1 N))))))) (sqrt (- (log (/ 1 N))))) (+ (* 0.25 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))) (* 0.125 (/ 1 (* (pow N 2) (pow (sqrt (- (log (/ 1 N)))) 3)))))) (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 0.5 (* (/ 1 N) (sqrt (/ 1 (- (log -1) (log (/ -1 N)))))))) (+ (* 0.125 (* (/ 1 (pow N 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))))) (* 0.25 (* (/ 1 (pow N 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 N))))))))) 1.213 * * [simplify]: iteration 0 : 332 enodes (cost 511 ) 1.219 * * [simplify]: iteration 1 : 1034 enodes (cost 456 ) 1.237 * * [simplify]: iteration 2 : 4431 enodes (cost 417 ) 1.316 * * [simplify]: iteration 3 : 5001 enodes (cost 412 ) 1.319 * [simplify]: Simplified to: (expm1 (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (log (+ N 1.0)) (log (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (/ (+ N 1.0) (exp (log N))) (* (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (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))) (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))) (expm1 (sqrt (log (+ N 1.0)))) (log1p (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (exp (sqrt (log (+ N 1.0)))) (* (cbrt (sqrt (log (+ N 1.0)))) (cbrt (sqrt (log (+ N 1.0))))) (cbrt (sqrt (log (+ N 1.0)))) (pow (sqrt (log (+ N 1.0))) 3) (sqrt 1) (sqrt (log (+ N 1.0))) (fabs (cbrt (log (+ N 1.0)))) (sqrt (cbrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (sqrt 1) (sqrt (log (+ N 1.0))) 1/2 (sqrt (sqrt (log (+ N 1.0)))) (sqrt (sqrt (log (+ N 1.0)))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (fma (log -1) 2 (* (/ 1 N) (- 1.0 (/ 0.5 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 N) (- 1.0 (/ 0.5 N)) (log 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 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (* 0.5 N) (sqrt (/ 1 (log 1.0))) (- (sqrt (log 1.0)) (fma 0.125 (* (pow N 2) (sqrt (/ 1 (pow (log 1.0) 3)))) (* 1/4 (* (/ (pow N 2) (pow 1.0 2)) (sqrt (/ 1 (log 1.0)))))))) (+ (- (* (/ 1 (sqrt (- (log (/ 1 N))))) (- (/ 0.5 N) (/ 0.25 (pow N 2)))) (/ (/ 0.125 (pow (sqrt (- (log (/ 1 N)))) 3)) (pow N 2))) (sqrt (- (log (/ 1 N))))) (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (- (/ 0.5 N) (/ 0.25 (pow N 2))))) (/ (* 0.125 (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3)))) (pow N 2))) 1.319 * * * [progress]: adding candidates to table 1.500 * * [progress]: iteration 4 / 4 1.500 * * * [progress]: picking best candidate 1.501 * * * * [pick]: Picked # 1.501 * * * [progress]: localizing error 1.506 * * * [progress]: generating rewritten candidates 1.506 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.531 * * * [progress]: generating series expansions 1.531 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.531 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in (N) around 0 1.531 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 1.531 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 1.531 * [taylor]: Taking taylor expansion of 1.0 in N 1.531 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 1.531 * [taylor]: Taking taylor expansion of 0.5 in N 1.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.531 * [taylor]: Taking taylor expansion of N in N 1.532 * [taylor]: Taking taylor expansion of N in N 1.534 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 1.534 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 1.534 * [taylor]: Taking taylor expansion of 1.0 in N 1.534 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 1.534 * [taylor]: Taking taylor expansion of 0.5 in N 1.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.534 * [taylor]: Taking taylor expansion of N in N 1.534 * [taylor]: Taking taylor expansion of N in N 1.556 * [approximate]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in (N) around 0 1.556 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 1.556 * [taylor]: Taking taylor expansion of N in N 1.556 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 1.556 * [taylor]: Taking taylor expansion of 1.0 in N 1.556 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 1.556 * [taylor]: Taking taylor expansion of 0.5 in N 1.556 * [taylor]: Taking taylor expansion of N in N 1.556 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 1.556 * [taylor]: Taking taylor expansion of N in N 1.556 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 1.556 * [taylor]: Taking taylor expansion of 1.0 in N 1.556 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 1.556 * [taylor]: Taking taylor expansion of 0.5 in N 1.556 * [taylor]: Taking taylor expansion of N in N 1.576 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 1.576 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 1.576 * [taylor]: Taking taylor expansion of -1 in N 1.576 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 1.576 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 1.576 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 1.576 * [taylor]: Taking taylor expansion of 0.5 in N 1.576 * [taylor]: Taking taylor expansion of N in N 1.576 * [taylor]: Taking taylor expansion of 1.0 in N 1.576 * [taylor]: Taking taylor expansion of N in N 1.576 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 1.576 * [taylor]: Taking taylor expansion of -1 in N 1.576 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 1.576 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 1.576 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 1.576 * [taylor]: Taking taylor expansion of 0.5 in N 1.576 * [taylor]: Taking taylor expansion of N in N 1.576 * [taylor]: Taking taylor expansion of 1.0 in N 1.576 * [taylor]: Taking taylor expansion of N in N 1.601 * * * [progress]: simplifying candidates 1.603 * [simplify]: Simplifying using # : (expm1 (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (log1p (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (+ (- (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (- 0 (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (- (log 1) (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (log (/ 1 N)) (log (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (exp (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (/ (* (* 1 1) 1) (* (* N N) N)) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N)))) (* (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N)))) (* (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (* (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* 1 (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (* N (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N))))) (* 1 (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (* N (+ 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ (sqrt 1) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ (sqrt 1) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))))))) (* (/ 1 N) (fma (- (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N)))))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N)))))) (* (/ 1 N) (fma (- (sqrt (/ 0.5 N))) (sqrt (/ 0.5 N)) (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N))))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))))))) (* (/ 1 N) (fma (- (/ (cbrt 0.5) (cbrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N)))))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)))))) (* (/ 1 N) (fma (- (/ (cbrt 0.5) (sqrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N))))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1))))) (* (/ 1 N) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1)))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))))))) (* (/ 1 N) (fma (- (/ (sqrt 0.5) (cbrt N))) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N)))))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N)))))) (* (/ 1 N) (fma (- (/ (sqrt 0.5) (sqrt N))) (/ (sqrt 0.5) (sqrt N)) (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N))))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1))))) (* (/ 1 N) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) 1) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1)))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))))))) (* (/ 1 N) (fma (- (/ 0.5 (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N)))))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))))) (* (/ 1 N) (fma (- (/ 0.5 (sqrt N))) (/ 1 (sqrt N)) (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N))))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 N) (/ 1 1))))) (* (/ 1 N) (fma (- (/ 0.5 N)) (/ 1 1) (* (/ 0.5 N) (/ 1 1)))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 N) 1)))) (* (/ 1 N) (fma (- (/ 0.5 N)) 1 (* (/ 0.5 N) 1))) (* (/ 1 N) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 N) 0.5)))) (* (/ 1 N) (fma (- (/ 1 N)) 0.5 (* (/ 1 N) 0.5))) (* (/ 1 N) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt 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1 N)) (- 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) N) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) N) (- 1.0 (/ 0.5 N))) (* (/ 1 (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ 1 (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (* (/ 1 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (* 1 (- 1.0 (/ 0.5 N))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1.616 * * [simplify]: iteration 0 : 870 enodes (cost 2380 ) 1.632 * * [simplify]: iteration 1 : 3371 enodes (cost 1616 ) 1.679 * * [simplify]: iteration 2 : 5001 enodes (cost 1138 ) 1.692 * [simplify]: Simplified to: (expm1 (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (log1p (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (/ (- 1.0 (/ 0.5 N)) N) (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (exp (/ (- 1.0 (/ 0.5 N)) N)) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (* (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (* (fma 1.0 1.0 (fma (/ 0.5 N) (/ 0.5 N) (* 1.0 (/ 0.5 N)))) N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (* N (+ 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ 1.0 N) (- (/ (/ 0.5 N) N)) (/ 1.0 N) (- (/ (/ 0.5 N) N)) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ (pow (cbrt 1.0) 3) N) (/ (/ 0.5 N) N)) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (- (/ 1.0 N) (/ (pow (/ (cbrt 0.5) (cbrt N)) 3) N)) (/ (* (/ 1 (* (cbrt N) (cbrt N))) (+ (- (/ 0.5 (cbrt N))) (/ 0.5 (cbrt N)))) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (fma (- (/ 0.5 N)) 1 (/ 0.5 N)) N) (/ 1.0 N) (- (/ (/ 0.5 N) N)) (/ 1.0 N) (- (/ (/ 0.5 N) N)) (* (/ 1 N) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N))))) (* (/ 1 N) (sqrt (- 1.0 (/ 0.5 N)))) (/ 1 N) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) N) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) N) (/ 1 N) (* (cbrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) N) (/ (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) N) (- 1.0 (/ 0.5 N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) 1.693 * * * [progress]: adding candidates to table 1.767 * [progress]: [Phase 3 of 3] Extracting. 1.767 * * [regime]: Finding splitpoints for: (# # #) 1.768 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.768 * * * * [regimes]: Trying to branch on N from (# # #) 1.783 * * * [regime]: Found split indices: #