13.587 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.059 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.060 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.061 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.061 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.061 * * [progress]: iteration 1 / 4 0.061 * * * [progress]: picking best candidate 0.063 * * * * [pick]: Picked # 0.063 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.073 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.081 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 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 1.0)) in N 0.082 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.099 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.099 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.099 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.112 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.112 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.112 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.112 * [taylor]: Taking taylor expansion of 1.0 in N 0.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.112 * [taylor]: Taking taylor expansion of N in N 0.113 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.114 * [taylor]: Taking taylor expansion of 1.0 in N 0.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.128 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.128 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.128 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.128 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [taylor]: Taking taylor expansion of (log N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.129 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.129 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.130 * [taylor]: Taking taylor expansion of (log N) in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.148 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.148 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.149 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.149 * [taylor]: Taking taylor expansion of N in N 0.149 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.149 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [taylor]: Taking taylor expansion of 1.0 in N 0.150 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.184 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.184 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.184 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.185 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.185 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.185 * [taylor]: Taking taylor expansion of -1 in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.186 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.186 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.186 * [taylor]: Taking taylor expansion of 1.0 in N 0.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.187 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.187 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.187 * [taylor]: Taking taylor expansion of -1 in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.222 * * * [progress]: simplifying candidates 0.222 * [simplify]: Simplifying using # : (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))) (/ (+ 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)))) (neg (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)) (neg (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)))) 0.226 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.230 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.238 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.274 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.275 * [simplify]: Simplified to: (* 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))) (/ (+ 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)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (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)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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)) 0.276 * * * [progress]: adding candidates to table 0.364 * * [progress]: iteration 2 / 4 0.364 * * * [progress]: picking best candidate 0.371 * * * * [pick]: Picked # 0.371 * * * [progress]: localizing error 0.381 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.387 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.405 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.427 * * * [progress]: generating series expansions 0.427 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.427 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.427 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.427 * [taylor]: Taking taylor expansion of N in N 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.428 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.428 * [taylor]: Taking taylor expansion of N in N 0.435 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.435 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.435 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.443 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.443 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.443 * [taylor]: Taking taylor expansion of N in N 0.443 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.443 * [taylor]: Taking taylor expansion of N in N 0.447 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.447 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 0.447 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.447 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.447 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.447 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.447 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.447 * [taylor]: Taking taylor expansion of N in N 0.448 * [taylor]: Taking taylor expansion of 0.5 in N 0.448 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.448 * [taylor]: Taking taylor expansion of N in N 0.449 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.449 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.449 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.449 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.449 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.449 * [taylor]: Taking taylor expansion of N in N 0.449 * [taylor]: Taking taylor expansion of 0.5 in N 0.449 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.449 * [taylor]: Taking taylor expansion of N in N 0.473 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.473 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.473 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.473 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.473 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of 0.5 in N 0.473 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.473 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.473 * [taylor]: Taking taylor expansion of N in N 0.473 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.473 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.473 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of 0.5 in N 0.495 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 0.495 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.495 * [taylor]: Taking taylor expansion of -1 in N 0.495 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.495 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.495 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.495 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of 0.5 in N 0.495 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.496 * [taylor]: Taking taylor expansion of -1 in N 0.496 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.496 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.496 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.496 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of 0.5 in N 0.496 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.524 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.524 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.524 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.524 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.524 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.524 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.524 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.525 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.525 * [taylor]: Taking taylor expansion of 1.0 in N 0.525 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.525 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.525 * [taylor]: Taking taylor expansion of 0.5 in N 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.525 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.526 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.526 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.526 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.526 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.526 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.526 * [taylor]: Taking taylor expansion of N in N 0.527 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.527 * [taylor]: Taking taylor expansion of 1.0 in N 0.527 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.527 * [taylor]: Taking taylor expansion of N in N 0.527 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.527 * [taylor]: Taking taylor expansion of 0.5 in N 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.527 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.527 * [taylor]: Taking taylor expansion of N in N 0.537 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.537 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.537 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.537 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.537 * [taylor]: Taking taylor expansion of 1.0 in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.537 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.537 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.537 * [taylor]: Taking taylor expansion of 0.5 in N 0.537 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.537 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.537 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.537 * [taylor]: Taking taylor expansion of 1.0 in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.537 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.537 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.537 * [taylor]: Taking taylor expansion of 0.5 in N 0.537 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.545 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.545 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.545 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.545 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.545 * [taylor]: Taking taylor expansion of 0.5 in N 0.546 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.546 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.546 * [taylor]: Taking taylor expansion of 1.0 in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.546 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.546 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.546 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.546 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.546 * [taylor]: Taking taylor expansion of 0.5 in N 0.546 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.546 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.546 * [taylor]: Taking taylor expansion of 1.0 in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.546 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.546 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.555 * * * [progress]: simplifying candidates 0.558 * [simplify]: Simplifying using # : (neg 2) (neg (* (log N) 2)) (neg (* (log N) 2)) (neg (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))) (neg 1) (neg (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) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (neg (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (neg (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (neg (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (neg 0.5)) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (neg 0.5)) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (neg 0.5) (/ 1 (pow N 2))) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (neg 0.5) (/ 1 (pow N 2))) (* (/ 1 (pow N 2)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5)))) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) 1) (* (/ 1 (pow N 2)) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) 1) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 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))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) N) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) N) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (* (pow N 2) N) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (+ (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (- (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1.0 N) (/ 1.0 N))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (neg 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (neg 0.5)) (/ 1.0 N)) (+ (* (neg 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (neg 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 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)))) 0.567 * * [simplify]: iteration 0 : 583 enodes (cost 1075 ) 0.579 * * [simplify]: iteration 1 : 2726 enodes (cost 892 ) 0.625 * * [simplify]: iteration 2 : 5001 enodes (cost 829 ) 0.631 * [simplify]: Simplified to: -2 (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (exp (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (fabs (/ 1 N)) (fabs (/ 1 N)) -1 (neg (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) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (* (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ 0.3333333333333333 (pow N 3)) (/ (neg 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (neg 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (neg 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (neg 0.5) (pow N 2)) (/ (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) N) N) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ 1 (pow N 2)) (/ (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) N) N) (/ (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) N) N) (/ 1 (pow N 2)) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (pow N 2)) (/ (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (pow (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) 3) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (pow N 3) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (pow N 3) (+ (/ 0.3333333333333333 N) 0.5)) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (pow N 3) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (- (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (* (/ 1 (pow N 4)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5))))) (+ (neg (* (/ 1.0 N) (/ 1.0 N))) (* (/ 1 (pow N 4)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) 0.632 * * * [progress]: adding candidates to table 0.835 * * [progress]: iteration 3 / 4 0.836 * * * [progress]: picking best candidate 0.842 * * * * [pick]: Picked # 0.842 * * * [progress]: localizing error 0.846 * * * [progress]: generating rewritten candidates 0.846 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.850 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.858 * * * [progress]: generating series expansions 0.858 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.858 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.858 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.858 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.858 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.858 * [taylor]: Taking taylor expansion of N in N 0.858 * [taylor]: Taking taylor expansion of 1.0 in N 0.858 * [taylor]: Taking taylor expansion of N in N 0.859 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.859 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.859 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.859 * [taylor]: Taking taylor expansion of N in N 0.859 * [taylor]: Taking taylor expansion of 1.0 in N 0.859 * [taylor]: Taking taylor expansion of N in N 0.876 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.876 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.876 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.876 * [taylor]: Taking taylor expansion of N in N 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.876 * [taylor]: Taking taylor expansion of N in N 0.876 * [taylor]: Taking taylor expansion of 1.0 in N 0.878 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.878 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.878 * [taylor]: Taking taylor expansion of N in N 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.878 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.878 * [taylor]: Taking taylor expansion of N in N 0.878 * [taylor]: Taking taylor expansion of 1.0 in N 0.905 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.905 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.905 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.905 * [taylor]: Taking taylor expansion of -1 in N 0.905 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.905 * [taylor]: Taking taylor expansion of N in N 0.905 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.905 * [taylor]: Taking taylor expansion of 1.0 in N 0.905 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.905 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.908 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.908 * [taylor]: Taking taylor expansion of -1 in N 0.908 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.908 * [taylor]: Taking taylor expansion of 1.0 in N 0.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.942 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.942 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.942 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.942 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.942 * [taylor]: Taking taylor expansion of 1.0 in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.943 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.943 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.943 * [taylor]: Taking taylor expansion of N in N 0.943 * [taylor]: Taking taylor expansion of 1.0 in N 0.943 * [taylor]: Taking taylor expansion of N in N 0.952 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.952 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.952 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.952 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.953 * [taylor]: Taking taylor expansion of 1.0 in N 0.953 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.953 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.953 * [taylor]: Taking taylor expansion of N in N 0.953 * [taylor]: Taking taylor expansion of 1.0 in N 0.967 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.967 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.967 * [taylor]: Taking taylor expansion of -1 in N 0.967 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.967 * [taylor]: Taking taylor expansion of N in N 0.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.967 * [taylor]: Taking taylor expansion of 1.0 in N 0.967 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.967 * [taylor]: Taking taylor expansion of N in N 0.967 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.967 * [taylor]: Taking taylor expansion of -1 in N 0.967 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.967 * [taylor]: Taking taylor expansion of N in N 0.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.967 * [taylor]: Taking taylor expansion of 1.0 in N 0.967 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.967 * [taylor]: Taking taylor expansion of N in N 0.992 * * * [progress]: simplifying candidates 0.993 * [simplify]: Simplifying using # : (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))) (- (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)) (neg (+ N 1.0)) (neg 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) 0.997 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 1.001 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 1.016 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 1.091 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 1.094 * [simplify]: Simplified to: (* 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))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (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))) (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)) (neg (+ N 1.0)) (neg 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)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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)) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.094 * * * [progress]: adding candidates to table 1.177 * * [progress]: iteration 4 / 4 1.177 * * * [progress]: picking best candidate 1.181 * * * * [pick]: Picked # 1.181 * * * [progress]: localizing error 1.195 * * * [progress]: generating rewritten candidates 1.195 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.199 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.202 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.205 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.214 * * * [progress]: generating series expansions 1.214 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.214 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.214 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.214 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.214 * [taylor]: Taking taylor expansion of N in N 1.214 * [taylor]: Taking taylor expansion of 1.0 in N 1.215 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.215 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.215 * [taylor]: Taking taylor expansion of N in N 1.215 * [taylor]: Taking taylor expansion of 1.0 in N 1.227 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.227 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.227 * [taylor]: Taking taylor expansion of 1.0 in N 1.228 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.228 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.228 * [taylor]: Taking taylor expansion of N in N 1.228 * [taylor]: Taking taylor expansion of 1.0 in N 1.240 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.240 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.240 * [taylor]: Taking taylor expansion of 1.0 in N 1.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.240 * [taylor]: Taking taylor expansion of N in N 1.241 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.241 * [taylor]: Taking taylor expansion of 1.0 in N 1.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.241 * [taylor]: Taking taylor expansion of N in N 1.256 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.256 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.256 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.256 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.256 * [taylor]: Taking taylor expansion of N in N 1.256 * [taylor]: Taking taylor expansion of 1.0 in N 1.257 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.257 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.257 * [taylor]: Taking taylor expansion of N in N 1.257 * [taylor]: Taking taylor expansion of 1.0 in N 1.269 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.269 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.269 * [taylor]: Taking taylor expansion of N in N 1.269 * [taylor]: Taking taylor expansion of 1.0 in N 1.270 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.270 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.270 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.270 * [taylor]: Taking taylor expansion of N in N 1.270 * [taylor]: Taking taylor expansion of 1.0 in N 1.287 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.287 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.287 * [taylor]: Taking taylor expansion of 1.0 in N 1.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.288 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.288 * [taylor]: Taking taylor expansion of 1.0 in N 1.288 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.288 * [taylor]: Taking taylor expansion of N in N 1.302 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.302 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.302 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.302 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.302 * [taylor]: Taking taylor expansion of N in N 1.302 * [taylor]: Taking taylor expansion of 1.0 in N 1.303 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.303 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.303 * [taylor]: Taking taylor expansion of N in N 1.303 * [taylor]: Taking taylor expansion of 1.0 in N 1.315 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.315 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.315 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.315 * [taylor]: Taking taylor expansion of N in N 1.315 * [taylor]: Taking taylor expansion of 1.0 in N 1.316 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.316 * [taylor]: Taking taylor expansion of N in N 1.316 * [taylor]: Taking taylor expansion of 1.0 in N 1.328 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.328 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.328 * [taylor]: Taking taylor expansion of 1.0 in N 1.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.328 * [taylor]: Taking taylor expansion of N in N 1.329 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.329 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.329 * [taylor]: Taking taylor expansion of 1.0 in N 1.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.329 * [taylor]: Taking taylor expansion of N in N 1.344 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.344 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in (N) around 0 1.344 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in N 1.344 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 1.344 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.344 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.344 * [taylor]: Taking taylor expansion of N in N 1.344 * [taylor]: Taking taylor expansion of 1.0 in N 1.345 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.345 * [taylor]: Taking taylor expansion of (log N) in N 1.345 * [taylor]: Taking taylor expansion of N in N 1.345 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in N 1.345 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 1.345 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.345 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.345 * [taylor]: Taking taylor expansion of N in N 1.345 * [taylor]: Taking taylor expansion of 1.0 in N 1.346 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.346 * [taylor]: Taking taylor expansion of (log N) in N 1.346 * [taylor]: Taking taylor expansion of N in N 1.384 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in (N) around 0 1.384 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in N 1.384 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 1.384 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.384 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.384 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.384 * [taylor]: Taking taylor expansion of N in N 1.384 * [taylor]: Taking taylor expansion of 1.0 in N 1.385 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.385 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.385 * [taylor]: Taking taylor expansion of N in N 1.386 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in N 1.386 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 1.386 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.386 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.386 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.386 * [taylor]: Taking taylor expansion of N in N 1.386 * [taylor]: Taking taylor expansion of 1.0 in N 1.387 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.387 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.387 * [taylor]: Taking taylor expansion of N in N 1.424 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in (N) around 0 1.424 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 1.424 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 1.424 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.424 * [taylor]: Taking taylor expansion of 1.0 in N 1.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.424 * [taylor]: Taking taylor expansion of N in N 1.426 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.426 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.426 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.426 * [taylor]: Taking taylor expansion of -1 in N 1.426 * [taylor]: Taking taylor expansion of N in N 1.427 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 1.427 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 1.427 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.427 * [taylor]: Taking taylor expansion of 1.0 in N 1.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.427 * [taylor]: Taking taylor expansion of N in N 1.429 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.429 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.429 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.429 * [taylor]: Taking taylor expansion of -1 in N 1.429 * [taylor]: Taking taylor expansion of N in N 1.489 * * * [progress]: simplifying candidates 1.490 * [simplify]: Simplifying using # : (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))) (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))) (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))) (/ (exp (* (log (+ N 1.0)) (log (+ N 1.0)))) (exp (* (log N) (log N)))) (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (exp (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (* (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (cbrt (- (* (log (+ N 1.0)) (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 1.0))) (* (log N) (log N)))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (- (pow (* (log (+ N 1.0)) (log (+ N 1.0))) 3) (pow (* (log N) (log N)) 3)) (+ (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (+ (* (* (log N) (log N)) (* (log N) (log N))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (neg (* (log N) (log N))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N)))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log (* (cbrt N) (cbrt N))))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log (sqrt N)))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log 1))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log 1) (log N))) (- (* (log (+ N 1.0)) (log (cbrt (+ N 1.0)))) (* (log N) (log N))) (- (* (log (+ N 1.0)) (log (sqrt (+ 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 1.0))) (* (log N) (log N))) (- (* (log (cbrt (+ N 1.0))) (log (+ N 1.0))) (* (log N) (log N))) (- (* (log (sqrt (+ N 1.0))) (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 1.0))) (* (log N) (log N))) (neg (* (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)))) (- (* 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)))) (- (+ (* 1.0 (pow N 2)) (+ (* 2.0 (* N (log 1.0))) (pow (log 1.0) 2))) (+ (pow (log N) 2) (/ (* (pow N 2) (log 1.0)) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 (pow N 2))) (* 1.0 (/ (log (/ 1 N)) (pow N 2)))) (+ (* 0.6666666666666666 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1.0 (/ 1 (pow N 3))) (* 2.0 (/ (log (/ 1 N)) N))))) (- (+ (* 2.0 (/ (log -1) N)) (+ (* 1.0 (/ 1 (pow N 2))) (+ (* 0.6666666666666666 (/ (log -1) (pow N 3))) (* 1.0 (/ (log (/ -1 N)) (pow N 2)))))) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 0.6666666666666666 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2.0 (/ (log (/ -1 N)) N)) (* 1.0 (/ (log -1) (pow N 2))))))) 1.496 * * [simplify]: iteration 0 : 372 enodes (cost 688 ) 1.502 * * [simplify]: iteration 1 : 1204 enodes (cost 619 ) 1.524 * * [simplify]: iteration 2 : 4948 enodes (cost 583 ) 1.617 * * [simplify]: iteration 3 : 5002 enodes (cost 583 ) 1.620 * [simplify]: Simplified to: (* 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))) (* 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))) (* 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))) (/ (pow (+ N 1.0) (log (+ N 1.0))) (exp (pow (log N) 2))) (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (/ (pow (+ N 1.0) (log (+ N 1.0))) (exp (pow (log N) 2))) (* (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (pow (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) 3) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (+ (neg (pow (* (log N) (log N)) 3)) (pow (log (+ N 1.0)) 6)) (+ (* (log (+ N 1.0)) (+ (pow (log (+ N 1.0)) 3) (* (log (+ N 1.0)) (pow (log N) 2)))) (pow (log N) 4)) (neg (pow (log N) 2)) (* (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2))) (+ (pow (log N) 2) (* (log (+ N 1.0)) (log (+ N 1.0)))) (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) 0) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) 0) (- (* (log (+ N 1.0)) (log (cbrt (+ N 1.0)))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (sqrt (+ N 1.0)))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (cbrt (+ N 1.0)))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (sqrt (+ N 1.0)))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (neg (pow (log N) 2)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (/ 1.0 N) (- (log -1) (log (/ -1 N)))) (/ (/ 0.5 N) N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (/ 1.0 N) (- (log -1) (log (/ -1 N)))) (/ (/ 0.5 N) N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (/ 1.0 N) (- (log -1) (log (/ -1 N)))) (/ (/ 0.5 N) N)) (+ (* (log 1.0) (+ (log 1.0) (* 2.0 N))) (- (* 1.0 (pow N 2)) (+ (pow (log N) 2) (/ (* (pow N 2) (log 1.0)) (pow 1.0 2))))) (- (- (* (/ 1.0 N) (+ (/ 1 N) (/ (log (/ 1 N)) N))) (* (/ (log (/ 1 N)) N) (+ (/ 0.6666666666666666 (pow N 2)) 2.0))) (/ 1.0 (pow N 3))) (- (+ (* (/ 1.0 N) (+ (/ (log (/ -1 N)) N) (/ 1 N))) (* 0.6666666666666666 (/ (log -1) (pow N 3)))) (- (+ (+ (/ 1.0 (pow N 3)) (* 1.0 (/ (log -1) (pow N 2)))) (* (/ (log (/ -1 N)) N) (+ 2.0 (/ 0.6666666666666666 (pow N 2))))) (* 2.0 (/ (log -1) N)))) 1.621 * * * [progress]: adding candidates to table 1.818 * [progress]: [Phase 3 of 3] Extracting. 1.819 * * [regime]: Finding splitpoints for: (# # #) 1.819 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.819 * * * * [regimes]: Trying to branch on N from (# # #) 1.837 * * * [regime]: Found split indices: #