14.096 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.002 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.003 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.003 * * * * [points]: Setting MPFR precision to 64 0.003 * * * * [points]: Setting MPFR precision to 320 0.004 * * * * [points]: Setting MPFR precision to 576 0.005 * * * * [points]: Setting MPFR precision to 832 0.006 * * * * [points]: Setting MPFR precision to 1088 0.007 * * * * [points]: Setting MPFR precision to 1344 0.008 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.008 * * * * [points]: Setting MPFR precision to 1088 0.010 * * * * [points]: Setting MPFR precision to 1344 0.013 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.013 * * * * [points]: Setting MPFR precision to 1088 0.016 * * * * [points]: Setting MPFR precision to 1344 0.020 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.020 * * * * [points]: Setting MPFR precision to 1088 0.026 * * * * [points]: Setting MPFR precision to 1344 0.033 * * * * [points]: Computing exacts for 256 points 0.033 * * * * [points]: Setting MPFR precision to 1088 0.051 * * * * [points]: Setting MPFR precision to 1344 0.071 * * * * [points]: Filtering points with unrepresentable outputs 0.071 * * * * [points]: Sampled 256 points with exact outputs 0.105 * * * [progress]: [2/2] Setting up program. 0.107 * [progress]: [Phase 2 of 3] Improving. 0.107 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.111 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.112 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.112 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.112 * * [progress]: iteration 1 / 4 0.112 * * * [progress]: picking best candidate 0.114 * * * * [pick]: Picked # 0.114 * * * [progress]: localizing error 0.140 * * * [progress]: generating rewritten candidates 0.140 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.147 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.151 * * * [progress]: generating series expansions 0.151 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.151 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.151 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.151 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.151 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [taylor]: Taking taylor expansion of 1.0 in N 0.151 * [taylor]: Taking taylor expansion of (log N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.151 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.151 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [taylor]: Taking taylor expansion of 1.0 in N 0.151 * [taylor]: Taking taylor expansion of (log N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.153 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.153 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.153 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [taylor]: Taking taylor expansion of 1.0 in N 0.154 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.154 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [taylor]: Taking taylor expansion of 1.0 in N 0.154 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.156 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.156 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.156 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.156 * [taylor]: Taking taylor expansion of 1.0 in N 0.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.156 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.156 * [taylor]: Taking taylor expansion of -1 in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.156 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.156 * [taylor]: Taking taylor expansion of 1.0 in N 0.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.156 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.156 * [taylor]: Taking taylor expansion of -1 in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.157 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.157 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.157 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.157 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.157 * [taylor]: Taking taylor expansion of 1.0 in N 0.157 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.158 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.158 * [taylor]: Taking taylor expansion of 1.0 in N 0.158 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.158 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.158 * [taylor]: Taking taylor expansion of 1.0 in N 0.158 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.158 * [taylor]: Taking taylor expansion of 1.0 in N 0.159 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.159 * [taylor]: Taking taylor expansion of 1.0 in N 0.159 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.159 * [taylor]: Taking taylor expansion of 1.0 in N 0.159 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.160 * * * [progress]: simplifying candidates 0.161 * [simplify]: Simplifying using # : (/ (+ 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)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (log 1) (+ (* 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)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log -1))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.198 * * [simplify]: iteration 0 : 5481 enodes (cost 434 ) 0.200 * [simplify]: Simplified to: (/ (+ 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) (log N)) (* (log (+ N 1.0)) (+ (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)) -2)) (- (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) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log N) (log (- N 1.0))) (* (log (cbrt (+ N 1.0))) 2) (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)))) (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) (+ (log 1.0) (- (* (* N N) (/ -1/2 (* 1.0 1.0))) (log N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))) (+ (* N 1.0) (+ (log 1.0) (* (* N N) (/ -1/2 (* 1.0 1.0))))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) 0.200 * * * [progress]: adding candidates to table 0.272 * * [progress]: iteration 2 / 4 0.272 * * * [progress]: picking best candidate 0.276 * * * * [pick]: Picked # 0.276 * * * [progress]: localizing error 0.286 * * * [progress]: generating rewritten candidates 0.286 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.317 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.321 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.326 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.339 * * * [progress]: generating series expansions 0.339 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.339 * [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 0.339 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.339 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.339 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.339 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.339 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.339 * [taylor]: Taking taylor expansion of N in N 0.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.340 * [taylor]: Taking taylor expansion of 1.0 in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.340 * [taylor]: Taking taylor expansion of 0.5 in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.340 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.340 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.340 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.340 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.340 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.340 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.340 * [taylor]: Taking taylor expansion of 1.0 in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.340 * [taylor]: Taking taylor expansion of 0.5 in N 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.340 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.341 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.341 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.341 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.341 * [taylor]: Taking taylor expansion of 1.0 in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.341 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.341 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.341 * [taylor]: Taking taylor expansion of 0.5 in N 0.341 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.341 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.341 * [taylor]: Taking taylor expansion of 1.0 in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.341 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.341 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.341 * [taylor]: Taking taylor expansion of 0.5 in N 0.341 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.342 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.342 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.342 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.342 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.342 * [taylor]: Taking taylor expansion of 0.5 in N 0.342 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.342 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.342 * [taylor]: Taking taylor expansion of 1.0 in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.342 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.342 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.342 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.342 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.342 * [taylor]: Taking taylor expansion of 0.5 in N 0.342 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.342 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.342 * [taylor]: Taking taylor expansion of 1.0 in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.342 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.342 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.342 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.342 * [taylor]: Taking taylor expansion of N in N 0.343 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.343 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 0.343 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.343 * [taylor]: Taking taylor expansion of 0.5 in N 0.343 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.343 * [taylor]: Taking taylor expansion of N in N 0.343 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 0.343 * [taylor]: Taking taylor expansion of 0.5 in N 0.343 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.343 * [taylor]: Taking taylor expansion of N in N 0.344 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.344 * [taylor]: Taking taylor expansion of 0.5 in N 0.344 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.344 * [taylor]: Taking taylor expansion of N in N 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.344 * [taylor]: Taking taylor expansion of 0.5 in N 0.344 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.344 * [taylor]: Taking taylor expansion of N in N 0.345 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.345 * [taylor]: Taking taylor expansion of 0.5 in N 0.345 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.345 * [taylor]: Taking taylor expansion of N in N 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.345 * [taylor]: Taking taylor expansion of 0.5 in N 0.345 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.345 * [taylor]: Taking taylor expansion of N in N 0.346 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.346 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 0.346 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 0.346 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.346 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.346 * [taylor]: Taking taylor expansion of N in N 0.346 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 0.346 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.346 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.346 * [taylor]: Taking taylor expansion of N in N 0.347 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 0.347 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.347 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.347 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.347 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.347 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.347 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.347 * [taylor]: Taking taylor expansion of N in N 0.348 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 0.348 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 0.348 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 0.348 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.348 * [taylor]: Taking taylor expansion of N in N 0.348 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 0.348 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 0.348 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.348 * [taylor]: Taking taylor expansion of N in N 0.349 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.349 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.349 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.349 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.349 * [taylor]: Taking taylor expansion of 1.0 in N 0.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.349 * [taylor]: Taking taylor expansion of N in N 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.349 * [taylor]: Taking taylor expansion of 0.5 in N 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.349 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.349 * [taylor]: Taking taylor expansion of N in N 0.349 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 0.349 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.349 * [taylor]: Taking taylor expansion of 1.0 in N 0.350 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.350 * [taylor]: Taking taylor expansion of N in N 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.350 * [taylor]: Taking taylor expansion of 0.5 in N 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.350 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.350 * [taylor]: Taking taylor expansion of N in N 0.352 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 0.352 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.352 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.352 * [taylor]: Taking taylor expansion of 1.0 in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.352 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.352 * [taylor]: Taking taylor expansion of 0.5 in N 0.352 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.352 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 0.352 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.352 * [taylor]: Taking taylor expansion of 1.0 in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.352 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.352 * [taylor]: Taking taylor expansion of 0.5 in N 0.352 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.353 * [approximate]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0 0.353 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.353 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.353 * [taylor]: Taking taylor expansion of 0.5 in N 0.353 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.353 * [taylor]: Taking taylor expansion of N in N 0.353 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.353 * [taylor]: Taking taylor expansion of 1.0 in N 0.353 * [taylor]: Taking taylor expansion of N in N 0.353 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 0.353 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.353 * [taylor]: Taking taylor expansion of 0.5 in N 0.353 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.353 * [taylor]: Taking taylor expansion of N in N 0.353 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.353 * [taylor]: Taking taylor expansion of 1.0 in N 0.353 * [taylor]: Taking taylor expansion of N in N 0.355 * * * [progress]: simplifying candidates 0.356 * [simplify]: Simplifying using # : (* (exp (/ 0.3333333333333333 (pow N 3))) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N))))) (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (* 0.3333333333333333 (* N (* N N))) (* (pow N 3) (- (* 1.0 (* N N)) (* N 0.5)))) (* (pow N 3) (* N (* N N))) (+ (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (* (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (pow N 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (+ (* 0.3333333333333333 (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (* (pow N 3) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (neg 0.5) (neg (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (neg 0.3333333333333333) (neg (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 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)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* 1.0 (* N N)) (* N 0.5)) (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (neg (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (+ (* 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)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* 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)))) 0.381 * * [simplify]: iteration 0 : 5101 enodes (cost 1475 ) 0.387 * [simplify]: Simplified to: (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) 3) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (pow N 3) (+ 0.3333333333333333 (* N (- (* N 1.0) 0.5)))) (pow N 6) (+ (* 0.3333333333333333 (+ (* (/ 0.5 (pow N 4)) 0.5) (* (/ 1.0 N) (+ (/ 1.0 N) (/ 0.5 (* N N)))))) (* (pow N 3) (- (pow (/ 1.0 N) 3) (/ (pow 0.5 3) (pow N 6))))) (* (pow N 3) (+ (* (/ 0.5 (pow N 4)) 0.5) (* (/ 1.0 N) (+ (/ 1.0 N) (/ 0.5 (* N N)))))) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ 0.3333333333333333 (* (- (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)))) (* (pow N 3) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3)) (+ (* (/ 0.3333333333333333 (pow N 6)) 0.3333333333333333) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (+ (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))))) (+ (* (/ 0.3333333333333333 (pow N 6)) 0.3333333333333333) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (/ (pow 0.5 3) (pow N 6)) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (neg 0.5) (* N (neg N)) (* (/ (cbrt 0.5) N) (cbrt 0.5)) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (* (/ N 0.5) N) (/ 0.5 N) (* (/ N (cbrt 0.5)) N) (* (/ N (sqrt 0.5)) N) (* (/ N 0.5) N) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (neg 0.3333333333333333) (neg (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (cbrt 0.3333333333333333) (* N (sqrt N))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (cbrt 0.3333333333333333) (* N (sqrt N))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (* N N)) (* (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) (pow N 3/2)) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (/ (sqrt 0.3333333333333333) (* N (sqrt N))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N (sqrt N))) (/ 0.3333333333333333 (* N (sqrt N))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N (sqrt N))) (/ 0.3333333333333333 (* N (sqrt N))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N (sqrt N))) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N (sqrt N))) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* N (- (* N 1.0) 0.5)) (pow N 3) (- (pow (/ 1.0 N) 3) (/ (pow 0.5 3) (pow N 6))) (+ (* (/ 0.5 (pow N 4)) 0.5) (* (/ 1.0 N) (+ (/ 1.0 N) (/ 0.5 (* N N))))) (/ (neg 0.5) (* N N)) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (pow N 4)) 0.5)) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 0.5 (* N N))) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (sqrt (/ 1.0 N))) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt 1.0) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt 1.0) (sqrt N))) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) 0.388 * * * [progress]: adding candidates to table 0.534 * * [progress]: iteration 3 / 4 0.534 * * * [progress]: picking best candidate 0.536 * * * * [pick]: Picked # 0.536 * * * [progress]: localizing error 0.550 * * * [progress]: generating rewritten candidates 0.550 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.554 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.561 * * * [progress]: generating series expansions 0.561 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.561 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.561 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.561 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.561 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [taylor]: Taking taylor expansion of 1.0 in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.561 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.561 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [taylor]: Taking taylor expansion of 1.0 in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.562 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.562 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 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 0.563 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.563 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.563 * [taylor]: Taking taylor expansion of N in N 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.563 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.563 * [taylor]: Taking taylor expansion of N in N 0.563 * [taylor]: Taking taylor expansion of 1.0 in N 0.563 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.563 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.563 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.564 * [taylor]: Taking taylor expansion of -1 in N 0.564 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.564 * [taylor]: Taking taylor expansion of 1.0 in N 0.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.564 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.564 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.564 * [taylor]: Taking taylor expansion of -1 in N 0.564 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.564 * [taylor]: Taking taylor expansion of 1.0 in N 0.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.565 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.565 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.565 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.565 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.565 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.566 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.566 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of 1.0 in N 0.566 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of 1.0 in N 0.567 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.567 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.567 * [taylor]: Taking taylor expansion of -1 in N 0.567 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.567 * [taylor]: Taking taylor expansion of 1.0 in N 0.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.567 * [taylor]: Taking taylor expansion of -1 in N 0.567 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.567 * [taylor]: Taking taylor expansion of 1.0 in N 0.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.569 * * * [progress]: simplifying candidates 0.572 * [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))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.608 * * [simplify]: iteration 0 : 4970 enodes (cost 619 ) 0.608 * * [simplify]: iteration 1 : 4970 enodes (cost 619 ) 0.611 * [simplify]: Simplified to: (* (log (cbrt (+ 1 (/ 1.0 N)))) 2) (log (cbrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 1.0 N)))) (log (sqrt (+ 1 (/ 1.0 N)))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (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))) (* (log (cbrt N)) -2)) (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 (cbrt N)) -2) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log 1) (log (+ 1 (/ 1.0 N))) (* (log (cbrt N)) -2) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log 1) (log (+ 1 (/ 1.0 N))) (log 1) (log (+ 1 (/ 1.0 N))) (log (+ N 1.0)) (neg (log N)) (log (+ N 1.0)) (log N) (log (+ 1 (/ 1.0 N))) (log (log (+ 1 (/ 1.0 N)))) (+ 1 (/ 1.0 N)) (* (cbrt (log (+ 1 (/ 1.0 N)))) (cbrt (log (+ 1 (/ 1.0 N))))) (cbrt (log (+ 1 (/ 1.0 N)))) (pow (log (+ 1 (/ 1.0 N))) 3) (sqrt (log (+ 1 (/ 1.0 N)))) (sqrt (log (+ 1 (/ 1.0 N)))) (log (+ 1 (/ 1.0 N))) (log (+ 1 (/ 1.0 N))) (exp (+ 1 (/ 1.0 N))) (pow (+ 1 (/ 1.0 N)) 3) (* (cbrt (+ 1 (/ 1.0 N))) (cbrt (+ 1 (/ 1.0 N)))) (cbrt (+ 1 (/ 1.0 N))) (pow (+ 1 (/ 1.0 N)) 3) (sqrt (+ 1 (/ 1.0 N))) (sqrt (+ 1 (/ 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 (+ 1 (/ 1.0 N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ 1 (/ 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)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (+ (* N 1.0) (+ (log 1.0) (- (* (* (/ N 1.0) (/ N 1.0)) -1/2) (log N)))) (+ (log 1) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log 1) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 0.611 * * * [progress]: adding candidates to table 0.685 * [progress]: [Phase 3 of 3] Extracting. 0.685 * * [regime]: Finding splitpoints for: (# #) 0.685 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.685 * * * * [regimes]: Trying to branch on N from (# #) 0.713 * * * [regime]: Found split indices: #