6.304 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.027 * [simplify]: Sending expressions to egg_math: (- (atan (+ h0 h1)) (atan h0)) 0.030 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.031 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.046 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.046 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.046 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.047 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.047 * [taylor]: Taking taylor expansion of (atan N) in N 0.047 * [backup-simplify]: Simplify (atan N) into (atan N) 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [backup-simplify]: Simplify (atan N) into (atan N) 0.048 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.048 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.048 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.048 * [backup-simplify]: Simplify (- 0) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (- 0) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (- 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- 0) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.051 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.051 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.051 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.052 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.052 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.052 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.052 * [backup-simplify]: Simplify (- 0) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- 0) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.055 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.055 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.055 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.055 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.055 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.056 * [backup-simplify]: Simplify (- 0) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (- 0) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.058 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.058 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.058 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.059 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.059 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.059 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.059 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.059 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.059 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.060 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.060 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying: (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.061 * [simplify]: Sending expressions to egg_math: (- (+ h0 h1) h0) (+ 1 (* (+ h0 h1) h0)) (/ (exp (atan (+ h0 h1))) (exp (atan h0))) (log (- (atan (+ h0 h1)) (atan h0))) (exp (- (atan (+ h0 h1)) (atan h0))) (* (cbrt (- (atan (+ h0 h1)) (atan h0))) (cbrt (- (atan (+ h0 h1)) (atan h0)))) (cbrt (- (atan (+ h0 h1)) (atan h0))) (* (* (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0))) (- (atan (+ h0 h1)) (atan h0))) (sqrt (- (atan (+ h0 h1)) (atan h0))) (sqrt (- (atan (+ h0 h1)) (atan h0))) (- (pow (atan (+ h0 h1)) 3) (pow (atan h0) 3)) (+ (* (atan (+ h0 h1)) (atan (+ h0 h1))) (+ (* (atan h0) (atan h0)) (* (atan (+ h0 h1)) (atan h0)))) (- (atan h0)) (- (* (atan (+ h0 h1)) (atan (+ h0 h1))) (* (atan h0) (atan h0))) (+ (atan (+ h0 h1)) (atan h0)) (+ (sqrt (atan (+ h0 h1))) (sqrt (atan h0))) (- (sqrt (atan (+ h0 h1))) (sqrt (atan h0))) (- (atan (+ h0 h1)) (atan h0)) (- (atan h0)) (log (atan (+ h0 h1))) (exp (atan (+ h0 h1))) (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (* (* (atan (+ h0 h1)) (atan (+ h0 h1))) (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0)) (atan (+ h0 h1)) (atan (+ h0 h1)) (atan (+ h0 h1)) 0.064 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.065 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.068 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.073 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.086 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.135 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.136 * * * [progress]: adding candidates to table 0.184 * * [progress]: iteration 2 / 4 0.184 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.191 * * * [progress]: generating rewritten candidates 0.191 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.191 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.214 * * * [progress]: generating series expansions 0.214 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.214 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.214 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.214 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.215 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.215 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.215 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 0.215 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.215 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.215 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 0.215 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.216 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 0.216 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.216 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 0.216 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.216 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.216 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 0.216 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.217 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 0.217 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.217 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.217 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 0.217 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.217 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of 1.0 in N 0.217 * [backup-simplify]: Simplify 1.0 into 1.0 0.217 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of 1.0 in N 0.218 * [backup-simplify]: Simplify 1.0 into 1.0 0.218 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.218 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ 1 0) into 1 0.220 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 0.227 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 0.227 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of 1.0 in N 0.228 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of 1.0 in N 0.229 * [backup-simplify]: Simplify 1.0 into 1.0 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.231 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 0.231 * [backup-simplify]: Simplify 1.0 into 1.0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 0.240 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 0.240 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.240 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.240 * [taylor]: Taking taylor expansion of -1 in N 0.240 * [backup-simplify]: Simplify -1 into -1 0.240 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.240 * [taylor]: Taking taylor expansion of 1.0 in N 0.240 * [backup-simplify]: Simplify 1.0 into 1.0 0.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (- 1) into -1 0.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.241 * [backup-simplify]: Simplify (/ -1 1) into -1 0.241 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.241 * [taylor]: Taking taylor expansion of -1 in N 0.241 * [backup-simplify]: Simplify -1 into -1 0.241 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.241 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [backup-simplify]: Simplify 1.0 into 1.0 0.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (- 1) into -1 0.242 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.242 * [backup-simplify]: Simplify (/ -1 1) into -1 0.242 * [backup-simplify]: Simplify (* -1 -1) into 1 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.244 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 0.245 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 0.245 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 0.261 * * * [progress]: simplifying candidates 0.261 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ 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)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.261 * [simplify]: Sending expressions to egg_math: (log (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (exp (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (* (cbrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (cbrt (atan2 h0 (+ 1 (* (+ h1 h0) h1))))) (cbrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (* (* (atan2 h0 (+ 1 (* (+ h1 h0) h1))) (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (sqrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (sqrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (* (+ h1 h0) h1) (+ (log (+ h1 h0)) (log h1)) (log (* (+ h1 h0) h1)) (exp (* (+ h1 h0) h1)) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* h1 h1) h1)) (* (cbrt (* (+ h1 h0) h1)) (cbrt (* (+ h1 h0) h1))) (cbrt (* (+ h1 h0) h1)) (* (* (* (+ h1 h0) h1) (* (+ h1 h0) h1)) (* (+ h1 h0) h1)) (sqrt (* (+ h1 h0) h1)) (sqrt (* (+ h1 h0) h1)) (* (sqrt (+ h1 h0)) (sqrt h1)) (* (sqrt (+ h1 h0)) (sqrt h1)) (* (+ h1 h0) (* (cbrt h1) (cbrt h1))) (* (+ h1 h0) (sqrt h1)) (* (+ h1 h0) 1) (* (cbrt (+ h1 h0)) h1) (* (sqrt (+ h1 h0)) h1) (* (+ h1 h0) h1) (* (+ h1 h0) h1) (* (+ (pow h1 3) (pow h0 3)) h1) (* (- (* h1 h1) (* h0 h0)) h1) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (+ (pow h1 2) (* h0 h1)) (+ (pow h1 2) (* h0 h1)) (+ (pow h1 2) (* h0 h1)) 0.265 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.267 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.278 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.317 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.318 * * * [progress]: adding candidates to table 0.372 * * [progress]: iteration 3 / 4 0.372 * * * [progress]: picking best candidate 0.385 * * * * [pick]: Picked # 0.385 * * * [progress]: localizing error 0.395 * * * [progress]: generating rewritten candidates 0.395 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.401 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.408 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.414 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.437 * * * [progress]: generating series expansions 0.437 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.437 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 0.437 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.437 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.437 * [taylor]: Taking taylor expansion of 1/3 in N 0.437 * [backup-simplify]: Simplify 1/3 into 1/3 0.437 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.437 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.437 * [taylor]: Taking taylor expansion of N in N 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.437 * [taylor]: Taking taylor expansion of N in N 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [taylor]: Taking taylor expansion of 1.0 in N 0.437 * [backup-simplify]: Simplify 1.0 into 1.0 0.438 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.438 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.439 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.439 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.440 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.440 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 0.440 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 0.440 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.440 * [taylor]: Taking taylor expansion of 1/3 in N 0.441 * [backup-simplify]: Simplify 1/3 into 1/3 0.441 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.441 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of 1.0 in N 0.441 * [backup-simplify]: Simplify 1.0 into 1.0 0.441 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.441 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.442 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.443 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.443 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.443 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 0.444 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 0.444 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.452 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.452 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 0.454 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 0.454 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 0.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.461 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.463 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 0.469 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 0.471 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 0.473 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 0.474 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 0.474 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.474 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.474 * [taylor]: Taking taylor expansion of 1/3 in N 0.474 * [backup-simplify]: Simplify 1/3 into 1/3 0.474 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.474 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [backup-simplify]: Simplify 1.0 into 1.0 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [backup-simplify]: Simplify (log 1) into 0 0.475 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.475 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 0.475 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 0.475 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.475 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.475 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.475 * [taylor]: Taking taylor expansion of 1/3 in N 0.475 * [backup-simplify]: Simplify 1/3 into 1/3 0.475 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.476 * [taylor]: Taking taylor expansion of N in N 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of 1.0 in N 0.476 * [backup-simplify]: Simplify 1.0 into 1.0 0.476 * [taylor]: Taking taylor expansion of N in N 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (+ 1 0) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (log 1) into 0 0.477 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.477 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 0.477 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 0.477 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.479 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 0.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.483 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.483 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 0.485 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 0.485 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.492 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.493 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 0.496 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 0.496 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 0.496 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 0.497 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 0.497 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.497 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.497 * [taylor]: Taking taylor expansion of -1 in N 0.497 * [backup-simplify]: Simplify -1 into -1 0.497 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.498 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.498 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.498 * [taylor]: Taking taylor expansion of 1/3 in N 0.498 * [backup-simplify]: Simplify 1/3 into 1/3 0.498 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.498 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [backup-simplify]: Simplify 1.0 into 1.0 0.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (- 1) into -1 0.499 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.499 * [backup-simplify]: Simplify (/ -1 1) into -1 0.499 * [backup-simplify]: Simplify (log -1) into (log -1) 0.500 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.500 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 0.500 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0.500 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.500 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.500 * [taylor]: Taking taylor expansion of -1 in N 0.500 * [backup-simplify]: Simplify -1 into -1 0.501 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.501 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.501 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.501 * [taylor]: Taking taylor expansion of 1/3 in N 0.501 * [backup-simplify]: Simplify 1/3 into 1/3 0.501 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.501 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.501 * [taylor]: Taking taylor expansion of 1.0 in N 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.501 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of N in N 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (- 1) into -1 0.502 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.502 * [backup-simplify]: Simplify (/ -1 1) into -1 0.502 * [backup-simplify]: Simplify (log -1) into (log -1) 0.503 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.503 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 0.504 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0.504 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.505 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.506 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.507 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 0.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.511 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.511 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 0.514 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.514 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.515 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.523 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.524 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 0.528 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 0.531 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.531 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.534 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 0.534 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.534 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 0.534 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.534 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.534 * [taylor]: Taking taylor expansion of 1/3 in N 0.534 * [backup-simplify]: Simplify 1/3 into 1/3 0.534 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.534 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.534 * [taylor]: Taking taylor expansion of N in N 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.534 * [taylor]: Taking taylor expansion of N in N 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of 1.0 in N 0.534 * [backup-simplify]: Simplify 1.0 into 1.0 0.534 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.535 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.535 * [backup-simplify]: Simplify (+ 1 0) into 1 0.536 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.536 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.537 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.537 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 0.537 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 0.537 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.537 * [taylor]: Taking taylor expansion of 1/3 in N 0.537 * [backup-simplify]: Simplify 1/3 into 1/3 0.537 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.537 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.537 * [taylor]: Taking taylor expansion of N in N 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [taylor]: Taking taylor expansion of 1.0 in N 0.537 * [backup-simplify]: Simplify 1.0 into 1.0 0.538 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.538 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.538 * [backup-simplify]: Simplify (+ 1 0) into 1 0.546 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.546 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.547 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.547 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 0.547 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 0.548 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.552 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.552 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 0.554 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 0.554 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 0.560 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.561 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.562 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 0.568 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 0.570 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 0.573 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 0.573 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 0.573 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.573 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.573 * [taylor]: Taking taylor expansion of 1/3 in N 0.573 * [backup-simplify]: Simplify 1/3 into 1/3 0.573 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.573 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.573 * [taylor]: Taking taylor expansion of N in N 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (/ 1 1) into 1 0.573 * [taylor]: Taking taylor expansion of 1.0 in N 0.573 * [backup-simplify]: Simplify 1.0 into 1.0 0.573 * [taylor]: Taking taylor expansion of N in N 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (+ 1 0) into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.574 * [backup-simplify]: Simplify (log 1) into 0 0.574 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.575 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 0.575 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 0.575 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.575 * [taylor]: Taking taylor expansion of 1/3 in N 0.575 * [backup-simplify]: Simplify 1/3 into 1/3 0.575 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.575 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.575 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.575 * [taylor]: Taking taylor expansion of N in N 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [taylor]: Taking taylor expansion of 1.0 in N 0.575 * [backup-simplify]: Simplify 1.0 into 1.0 0.575 * [taylor]: Taking taylor expansion of N in N 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (+ 1 0) into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.576 * [backup-simplify]: Simplify (log 1) into 0 0.576 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.576 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 0.576 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 0.576 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.578 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 0.582 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.582 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.582 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 0.584 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 0.584 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.591 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.592 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 0.595 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 0.595 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 0.595 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 0.595 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 0.596 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.596 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.596 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.596 * [taylor]: Taking taylor expansion of -1 in N 0.596 * [backup-simplify]: Simplify -1 into -1 0.596 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.596 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.596 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.596 * [taylor]: Taking taylor expansion of 1/3 in N 0.596 * [backup-simplify]: Simplify 1/3 into 1/3 0.596 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.596 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.596 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.596 * [taylor]: Taking taylor expansion of 1.0 in N 0.596 * [backup-simplify]: Simplify 1.0 into 1.0 0.596 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.596 * [taylor]: Taking taylor expansion of N in N 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of N in N 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (- 1) into -1 0.597 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.597 * [backup-simplify]: Simplify (/ -1 1) into -1 0.598 * [backup-simplify]: Simplify (log -1) into (log -1) 0.598 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.598 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 0.599 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0.599 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.599 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.599 * [taylor]: Taking taylor expansion of -1 in N 0.599 * [backup-simplify]: Simplify -1 into -1 0.599 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.600 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.600 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.600 * [taylor]: Taking taylor expansion of 1/3 in N 0.600 * [backup-simplify]: Simplify 1/3 into 1/3 0.600 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.600 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.600 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.600 * [taylor]: Taking taylor expansion of 1.0 in N 0.600 * [backup-simplify]: Simplify 1.0 into 1.0 0.600 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.600 * [taylor]: Taking taylor expansion of N in N 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [taylor]: Taking taylor expansion of N in N 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (- 1) into -1 0.601 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.601 * [backup-simplify]: Simplify (/ -1 1) into -1 0.601 * [backup-simplify]: Simplify (log -1) into (log -1) 0.602 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.602 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 0.602 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0.603 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.603 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (- 0) into 0 0.604 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.605 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 0.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.609 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.610 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 0.612 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.613 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.614 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.621 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.622 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 0.626 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 0.628 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.629 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.638 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 0.638 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.638 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 0.638 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.638 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.638 * [taylor]: Taking taylor expansion of 1/3 in N 0.638 * [backup-simplify]: Simplify 1/3 into 1/3 0.638 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.638 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.638 * [taylor]: Taking taylor expansion of N in N 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.638 * [taylor]: Taking taylor expansion of N in N 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [taylor]: Taking taylor expansion of 1.0 in N 0.638 * [backup-simplify]: Simplify 1.0 into 1.0 0.638 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.639 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.639 * [backup-simplify]: Simplify (+ 1 0) into 1 0.640 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.640 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.641 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.641 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 0.641 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 0.641 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.641 * [taylor]: Taking taylor expansion of 1/3 in N 0.641 * [backup-simplify]: Simplify 1/3 into 1/3 0.641 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.641 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.641 * [taylor]: Taking taylor expansion of N in N 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.641 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.641 * [taylor]: Taking taylor expansion of N in N 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.641 * [taylor]: Taking taylor expansion of 1.0 in N 0.641 * [backup-simplify]: Simplify 1.0 into 1.0 0.642 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.642 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.642 * [backup-simplify]: Simplify (+ 1 0) into 1 0.643 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.643 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.644 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.644 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 0.644 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 0.645 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 0.645 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.649 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.649 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 0.651 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 0.651 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 0.651 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 0.657 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.658 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 0.659 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 0.665 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 0.667 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 0.670 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 0.670 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 0.670 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.670 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.670 * [taylor]: Taking taylor expansion of 1/3 in N 0.670 * [backup-simplify]: Simplify 1/3 into 1/3 0.670 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.670 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.670 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (/ 1 1) into 1 0.670 * [taylor]: Taking taylor expansion of 1.0 in N 0.670 * [backup-simplify]: Simplify 1.0 into 1.0 0.670 * [taylor]: Taking taylor expansion of N in N 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.671 * [backup-simplify]: Simplify (+ 1 0) into 1 0.671 * [backup-simplify]: Simplify (/ 1 1) into 1 0.671 * [backup-simplify]: Simplify (log 1) into 0 0.671 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.671 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 0.671 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 0.671 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.672 * [taylor]: Taking taylor expansion of 1/3 in N 0.672 * [backup-simplify]: Simplify 1/3 into 1/3 0.672 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.672 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.672 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.672 * [taylor]: Taking taylor expansion of N in N 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [taylor]: Taking taylor expansion of 1.0 in N 0.672 * [backup-simplify]: Simplify 1.0 into 1.0 0.672 * [taylor]: Taking taylor expansion of N in N 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (+ 1 0) into 1 0.672 * [backup-simplify]: Simplify (/ 1 1) into 1 0.673 * [backup-simplify]: Simplify (log 1) into 0 0.673 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.673 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 0.673 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 0.673 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.675 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 0.678 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.679 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.679 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 0.681 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 0.681 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 0.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (+ 0 0) into 0 0.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.688 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.689 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 0.692 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 0.692 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 0.692 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 0.692 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 0.692 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.692 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.693 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.693 * [taylor]: Taking taylor expansion of -1 in N 0.693 * [backup-simplify]: Simplify -1 into -1 0.693 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.693 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.693 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.693 * [taylor]: Taking taylor expansion of 1/3 in N 0.693 * [backup-simplify]: Simplify 1/3 into 1/3 0.693 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.693 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.693 * [taylor]: Taking taylor expansion of 1.0 in N 0.693 * [backup-simplify]: Simplify 1.0 into 1.0 0.693 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.693 * [taylor]: Taking taylor expansion of N in N 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (/ 1 1) into 1 0.694 * [taylor]: Taking taylor expansion of N in N 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (- 1) into -1 0.694 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.694 * [backup-simplify]: Simplify (/ -1 1) into -1 0.695 * [backup-simplify]: Simplify (log -1) into (log -1) 0.695 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.695 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 0.696 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0.696 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.696 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.696 * [taylor]: Taking taylor expansion of -1 in N 0.696 * [backup-simplify]: Simplify -1 into -1 0.696 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.696 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.696 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.697 * [taylor]: Taking taylor expansion of 1/3 in N 0.697 * [backup-simplify]: Simplify 1/3 into 1/3 0.697 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.697 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.697 * [taylor]: Taking taylor expansion of 1.0 in N 0.697 * [backup-simplify]: Simplify 1.0 into 1.0 0.697 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.697 * [taylor]: Taking taylor expansion of N in N 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [taylor]: Taking taylor expansion of N in N 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (- 1) into -1 0.697 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.698 * [backup-simplify]: Simplify (/ -1 1) into -1 0.698 * [backup-simplify]: Simplify (log -1) into (log -1) 0.698 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.699 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 0.699 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0.700 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.700 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.702 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 0.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.706 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.707 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 0.709 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.710 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.710 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (- 0) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.719 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 0.720 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 0.730 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 0.732 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.733 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 0.735 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 0.736 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.736 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) 0.736 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 0.736 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.736 * [taylor]: Taking taylor expansion of 1/3 in N 0.736 * [backup-simplify]: Simplify 1/3 into 1/3 0.736 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.736 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.736 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.736 * [taylor]: Taking taylor expansion of N in N 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.736 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.736 * [taylor]: Taking taylor expansion of N in N 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of 1.0 in N 0.736 * [backup-simplify]: Simplify 1.0 into 1.0 0.736 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.737 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.737 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 0.737 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.738 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 0.738 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 0.738 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 0.738 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 0.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 0.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 0.738 * [taylor]: Taking taylor expansion of 1/3 in N 0.738 * [backup-simplify]: Simplify 1/3 into 1/3 0.738 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 0.738 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 0.739 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.739 * [taylor]: Taking taylor expansion of N in N 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.739 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.739 * [taylor]: Taking taylor expansion of N in N 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of 1.0 in N 0.739 * [backup-simplify]: Simplify 1.0 into 1.0 0.739 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.739 * [backup-simplify]: Simplify (* 1 1) into 1 0.739 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.740 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 0.740 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.740 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 0.741 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 0.741 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 0.741 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 0.742 * [backup-simplify]: Simplify (+ 1 0) into 1 0.742 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0 0.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 0.748 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 0.748 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666 0.750 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 0.750 * [backup-simplify]: Simplify (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1 0.759 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2))))) 0.760 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 0.763 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (+ (log 1.0) (* 2 (log N)))))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 0.769 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 0.771 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 0.774 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) N) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) into (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) 0.774 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) 0.774 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 0.774 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.774 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.774 * [taylor]: Taking taylor expansion of 1/3 in N 0.774 * [backup-simplify]: Simplify 1/3 into 1/3 0.774 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.774 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.774 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.774 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.774 * [taylor]: Taking taylor expansion of N in N 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [taylor]: Taking taylor expansion of 1.0 in N 0.775 * [backup-simplify]: Simplify 1.0 into 1.0 0.775 * [backup-simplify]: Simplify (+ 1 0) into 1 0.775 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.775 * [taylor]: Taking taylor expansion of N in N 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (* 1 1) into 1 0.775 * [backup-simplify]: Simplify (* 1 1) into 1 0.776 * [backup-simplify]: Simplify (/ 1 1) into 1 0.776 * [backup-simplify]: Simplify (log 1) into 0 0.776 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 0.776 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 0.776 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 0.776 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 0.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 0.776 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 0.776 * [taylor]: Taking taylor expansion of 1/3 in N 0.776 * [backup-simplify]: Simplify 1/3 into 1/3 0.776 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 0.776 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 0.776 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.776 * [taylor]: Taking taylor expansion of N in N 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (/ 1 1) into 1 0.777 * [taylor]: Taking taylor expansion of 1.0 in N 0.777 * [backup-simplify]: Simplify 1.0 into 1.0 0.777 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.777 * [taylor]: Taking taylor expansion of N in N 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (* 1 1) into 1 0.777 * [backup-simplify]: Simplify (* 1 1) into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [backup-simplify]: Simplify (log 1) into 0 0.778 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 0.778 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 0.778 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 0.778 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.780 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.782 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 0.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 0.785 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 0.786 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666 0.787 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 0.787 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 0.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.791 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0 0.798 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 0.799 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 0.799 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 0.802 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 0.802 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 0.803 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) 0.803 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) 0.803 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 0.803 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.803 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.803 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.803 * [taylor]: Taking taylor expansion of -1 in N 0.803 * [backup-simplify]: Simplify -1 into -1 0.804 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.804 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.804 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.804 * [taylor]: Taking taylor expansion of 1/3 in N 0.804 * [backup-simplify]: Simplify 1/3 into 1/3 0.804 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.804 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.804 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.804 * [taylor]: Taking taylor expansion of 1.0 in N 0.804 * [backup-simplify]: Simplify 1.0 into 1.0 0.804 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.804 * [taylor]: Taking taylor expansion of N in N 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (/ 1 1) into 1 0.805 * [backup-simplify]: Simplify (- 1) into -1 0.805 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.805 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.805 * [taylor]: Taking taylor expansion of N in N 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (* -1 -1) into 1 0.806 * [backup-simplify]: Simplify (* 1 1) into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [backup-simplify]: Simplify (log 1) into 0 0.807 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 0.807 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 0.807 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 0.807 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 0.807 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 0.807 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.807 * [taylor]: Taking taylor expansion of -1 in N 0.807 * [backup-simplify]: Simplify -1 into -1 0.807 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.808 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.808 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 0.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 0.808 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 0.808 * [taylor]: Taking taylor expansion of 1/3 in N 0.808 * [backup-simplify]: Simplify 1/3 into 1/3 0.808 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 0.808 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 0.808 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.808 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.808 * [taylor]: Taking taylor expansion of 1.0 in N 0.808 * [backup-simplify]: Simplify 1.0 into 1.0 0.808 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.808 * [taylor]: Taking taylor expansion of N in N 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (/ 1 1) into 1 0.808 * [backup-simplify]: Simplify (- 1) into -1 0.808 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.809 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.809 * [taylor]: Taking taylor expansion of N in N 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (* -1 -1) into 1 0.809 * [backup-simplify]: Simplify (* 1 1) into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [backup-simplify]: Simplify (log 1) into 0 0.810 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 0.810 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 0.810 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 0.811 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 0.811 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow N -4/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 0.812 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (- 0) into 0 0.813 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.814 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.822 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0) 0.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 0.826 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 0.826 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666) 0.828 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 0.829 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 0.830 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 0.831 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (- 0) into 0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 0.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.835 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0 0.843 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 0.844 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 0.844 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 0.848 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 0.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 0.849 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 0.850 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (+ (* 0 (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 0.851 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 0.854 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (/ 1 (- N))) (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) into (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 0.854 * * * [progress]: simplifying candidates 0.856 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 1 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) 1) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 0.856 * [simplify]: Sending expressions to egg_math: (log (cbrt (* (+ h0 h1) h0))) (exp (cbrt (* (+ h0 h1) h0))) (cbrt (+ h0 h1)) (cbrt h0) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (- h0 h1)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (cbrt (cbrt (* (+ h0 h1) h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (log (cbrt (* (+ h0 h1) h0))) (exp (cbrt (* (+ h0 h1) h0))) (cbrt (+ h0 h1)) (cbrt h0) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (- h0 h1)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (cbrt (cbrt (* (+ h0 h1) h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (log (cbrt (* (+ h0 h1) h0))) (exp (cbrt (* (+ h0 h1) h0))) (cbrt (+ h0 h1)) (cbrt h0) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (- h0 h1)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (cbrt (cbrt (* (+ h0 h1) h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (+ 1/3 1/3) (+ 1 1) (* (* (+ h0 h1) h0) (* (+ h0 h1) h0)) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (+ 1 1) (+ (log (cbrt (* (+ h0 h1) h0))) (log (cbrt (* (+ h0 h1) h0)))) (log (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (exp (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (* (* (+ h0 h1) h0) (* (+ h0 h1) h0)) (* (cbrt (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (cbrt (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))))) (cbrt (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (* (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (sqrt (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (sqrt (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0)))) (* (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0))) (* (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (* (- (* h0 h0) (* h1 h1)) h0))) (* (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (- h0 h1))) (* (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0))) (* (cbrt (- h0 h1)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (* (- (* h0 h0) (* h1 h1)) h0))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)) (* (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0))))) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (* (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0)))) (* (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0)))) (* 1 1) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (* (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0)))) (* (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ h0 h1) h0)) (cbrt (+ h0 h1))) (* (cbrt (* (+ h0 h1) h0)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0))))) (* (cbrt (* (+ h0 h1) h0)) (sqrt (cbrt (* (+ h0 h1) h0)))) (* (cbrt (* (+ h0 h1) h0)) 1) (* (cbrt h0) (cbrt (* (+ h0 h1) h0))) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (* (sqrt (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0))) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (- (* h0 h0) (* h1 h1)) h0))) (* (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (* (+ h0 h1) h0))) (* (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (* (+ h0 h1) h0))) (- (+ (exp (* 1/3 (+ (log h1) (log h0)))) (+ (* h2 (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2))) (* h3 (* (exp (* 1/3 (+ (log h1) (log h0)))) h0)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2)) (pow h1 2)))) (- (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (* h3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* h4 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2)))) (- (+ (exp (* 1/3 (+ (log h1) (log h0)))) (+ (* h2 (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2))) (* h3 (* (exp (* 1/3 (+ (log h1) (log h0)))) h0)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2)) (pow h1 2)))) (- (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (* h3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* h4 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2)))) (- (+ (exp (* 1/3 (+ (log h1) (log h0)))) (+ (* h2 (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2))) (* h3 (* (exp (* 1/3 (+ (log h1) (log h0)))) h0)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2)) (pow h1 2)))) (- (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (* h3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* h4 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2)))) (- (+ (* h5 (* h0 (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (+ (* h6 (* (pow h0 2) (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (* h5 (/ (* (pow h0 2) (exp (* 1/3 (+ (log h1) (* 2 (log h0)))))) (pow h1 2)))) (- (+ (* h5 (pow h0 1/3)) (pow (/ 1 h0) -4/3)) (* h4 (pow (/ 1 (pow h0 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow h0 4) 1/3)) (* h5 (* (pow (cbrt -1) 2) (pow h0 1/3)))) (* h4 (* (pow (cbrt -1) 2) (pow (/ 1 (pow h0 2)) 1/3)))) 0.862 * * [simplify]: iteration 0 : 353 enodes (cost 803 ) 0.869 * * [simplify]: iteration 1 : 1280 enodes (cost 743 ) 0.894 * * [simplify]: iteration 2 : 5001 enodes (cost 669 ) 0.898 * * * [progress]: adding candidates to table 1.142 * * [progress]: iteration 4 / 4 1.142 * * * [progress]: picking best candidate 1.153 * * * * [pick]: Picked # 1.153 * * * [progress]: localizing error 1.171 * * * [progress]: generating rewritten candidates 1.171 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.178 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.184 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 1.185 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.200 * * * [progress]: generating series expansions 1.200 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.200 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 1.200 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.200 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.200 * [taylor]: Taking taylor expansion of 1/3 in N 1.200 * [backup-simplify]: Simplify 1/3 into 1/3 1.200 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.200 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.200 * [taylor]: Taking taylor expansion of N in N 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.201 * [taylor]: Taking taylor expansion of N in N 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [taylor]: Taking taylor expansion of 1.0 in N 1.201 * [backup-simplify]: Simplify 1.0 into 1.0 1.201 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.201 * [backup-simplify]: Simplify (* 0 1.0) into 0 1.202 * [backup-simplify]: Simplify (+ 1 0) into 1 1.203 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 1.203 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.203 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.204 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 1.204 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.204 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.204 * [taylor]: Taking taylor expansion of 1/3 in N 1.204 * [backup-simplify]: Simplify 1/3 into 1/3 1.204 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.204 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.204 * [taylor]: Taking taylor expansion of N in N 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.204 * [taylor]: Taking taylor expansion of N in N 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [taylor]: Taking taylor expansion of 1.0 in N 1.204 * [backup-simplify]: Simplify 1.0 into 1.0 1.204 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.205 * [backup-simplify]: Simplify (* 0 1.0) into 0 1.205 * [backup-simplify]: Simplify (+ 1 0) into 1 1.206 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 1.206 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.207 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.207 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 1.207 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.208 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.208 * [backup-simplify]: Simplify (+ 0 0) into 0 1.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 1.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.212 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.213 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 1.214 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 1.215 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 1.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.221 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.223 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 1.229 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 1.231 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 1.238 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 1.239 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 1.239 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.239 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.239 * [taylor]: Taking taylor expansion of 1/3 in N 1.239 * [backup-simplify]: Simplify 1/3 into 1/3 1.239 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.239 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.239 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.239 * [taylor]: Taking taylor expansion of N in N 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (/ 1 1) into 1 1.239 * [taylor]: Taking taylor expansion of 1.0 in N 1.239 * [backup-simplify]: Simplify 1.0 into 1.0 1.239 * [taylor]: Taking taylor expansion of N in N 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (+ 1 0) into 1 1.240 * [backup-simplify]: Simplify (/ 1 1) into 1 1.240 * [backup-simplify]: Simplify (log 1) into 0 1.240 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.240 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.240 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.240 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.240 * [taylor]: Taking taylor expansion of 1/3 in N 1.240 * [backup-simplify]: Simplify 1/3 into 1/3 1.240 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.240 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (/ 1 1) into 1 1.241 * [taylor]: Taking taylor expansion of 1.0 in N 1.241 * [backup-simplify]: Simplify 1.0 into 1.0 1.241 * [taylor]: Taking taylor expansion of N in N 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (+ 1 0) into 1 1.241 * [backup-simplify]: Simplify (/ 1 1) into 1 1.242 * [backup-simplify]: Simplify (log 1) into 0 1.242 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.242 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.242 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.242 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 1.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.244 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 1.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.248 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.248 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 1.249 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 1.249 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 1.257 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.257 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.258 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 1.261 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.261 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.261 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 1.261 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 1.261 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.261 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.261 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.261 * [taylor]: Taking taylor expansion of -1 in N 1.262 * [backup-simplify]: Simplify -1 into -1 1.262 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.262 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.262 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.262 * [taylor]: Taking taylor expansion of 1/3 in N 1.262 * [backup-simplify]: Simplify 1/3 into 1/3 1.262 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.262 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.262 * [taylor]: Taking taylor expansion of 1.0 in N 1.262 * [backup-simplify]: Simplify 1.0 into 1.0 1.262 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.262 * [taylor]: Taking taylor expansion of N in N 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (/ 1 1) into 1 1.263 * [taylor]: Taking taylor expansion of N in N 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (- 1) into -1 1.263 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.263 * [backup-simplify]: Simplify (/ -1 1) into -1 1.264 * [backup-simplify]: Simplify (log -1) into (log -1) 1.264 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 1.264 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 1.265 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 1.265 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.265 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.265 * [taylor]: Taking taylor expansion of -1 in N 1.265 * [backup-simplify]: Simplify -1 into -1 1.265 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.266 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.266 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.266 * [taylor]: Taking taylor expansion of 1/3 in N 1.266 * [backup-simplify]: Simplify 1/3 into 1/3 1.266 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.266 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.266 * [taylor]: Taking taylor expansion of 1.0 in N 1.266 * [backup-simplify]: Simplify 1.0 into 1.0 1.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.266 * [taylor]: Taking taylor expansion of N in N 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (/ 1 1) into 1 1.266 * [taylor]: Taking taylor expansion of N in N 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (- 1) into -1 1.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.267 * [backup-simplify]: Simplify (/ -1 1) into -1 1.267 * [backup-simplify]: Simplify (log -1) into (log -1) 1.267 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 1.268 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 1.268 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 1.269 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 1.269 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 1.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.270 * [backup-simplify]: Simplify (- 0) into 0 1.270 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.271 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 1.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.275 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 1.276 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 1.278 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 1.279 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 1.280 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 1.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.281 * [backup-simplify]: Simplify (- 0) into 0 1.281 * [backup-simplify]: Simplify (+ 0 0) into 0 1.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 1.288 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 1.288 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 1.292 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 1.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.294 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 1.295 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 1.297 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 1.297 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.297 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 1.297 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 1.297 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.298 * [taylor]: Taking taylor expansion of 1/3 in N 1.298 * [backup-simplify]: Simplify 1/3 into 1/3 1.298 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.298 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.298 * [taylor]: Taking taylor expansion of N in N 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.298 * [taylor]: Taking taylor expansion of N in N 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [taylor]: Taking taylor expansion of 1.0 in N 1.298 * [backup-simplify]: Simplify 1.0 into 1.0 1.298 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.298 * [backup-simplify]: Simplify (* 0 1.0) into 0 1.298 * [backup-simplify]: Simplify (+ 1 0) into 1 1.299 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 1.300 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.300 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.300 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 1.301 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.301 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 1.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 1.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 1.301 * [taylor]: Taking taylor expansion of 1/3 in N 1.301 * [backup-simplify]: Simplify 1/3 into 1/3 1.301 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 1.301 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [taylor]: Taking taylor expansion of 1.0 in N 1.301 * [backup-simplify]: Simplify 1.0 into 1.0 1.301 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.301 * [backup-simplify]: Simplify (* 0 1.0) into 0 1.302 * [backup-simplify]: Simplify (+ 1 0) into 1 1.302 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 1.303 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.303 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.303 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 1.304 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.304 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.304 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 1.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.308 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.309 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 1.311 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 1.311 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 1.317 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.317 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.319 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 1.331 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 1.333 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 1.335 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 1.335 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 1.335 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 1.335 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.336 * [taylor]: Taking taylor expansion of 1/3 in N 1.336 * [backup-simplify]: Simplify 1/3 into 1/3 1.336 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.336 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.336 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.336 * [taylor]: Taking taylor expansion of N in N 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (/ 1 1) into 1 1.336 * [taylor]: Taking taylor expansion of 1.0 in N 1.336 * [backup-simplify]: Simplify 1.0 into 1.0 1.336 * [taylor]: Taking taylor expansion of N in N 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (+ 1 0) into 1 1.336 * [backup-simplify]: Simplify (/ 1 1) into 1 1.337 * [backup-simplify]: Simplify (log 1) into 0 1.337 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.337 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.337 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.337 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 1.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 1.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 1.337 * [taylor]: Taking taylor expansion of 1/3 in N 1.337 * [backup-simplify]: Simplify 1/3 into 1/3 1.337 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 1.337 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 1.337 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.337 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.337 * [taylor]: Taking taylor expansion of N in N 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify (/ 1 1) into 1 1.338 * [taylor]: Taking taylor expansion of 1.0 in N 1.338 * [backup-simplify]: Simplify 1.0 into 1.0 1.338 * [taylor]: Taking taylor expansion of N in N 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify (+ 1 0) into 1 1.338 * [backup-simplify]: Simplify (/ 1 1) into 1 1.338 * [backup-simplify]: Simplify (log 1) into 0 1.339 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.339 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.339 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.339 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 1.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.341 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 1.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.344 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.345 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 1.346 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 1.346 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 1.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.355 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.355 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 1.359 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.359 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.360 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 1.360 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 1.360 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 1.360 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.360 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.360 * [taylor]: Taking taylor expansion of -1 in N 1.360 * [backup-simplify]: Simplify -1 into -1 1.361 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.361 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.361 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.361 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.361 * [taylor]: Taking taylor expansion of 1/3 in N 1.361 * [backup-simplify]: Simplify 1/3 into 1/3 1.361 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.361 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.361 * [taylor]: Taking taylor expansion of 1.0 in N 1.361 * [backup-simplify]: Simplify 1.0 into 1.0 1.361 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.361 * [taylor]: Taking taylor expansion of N in N 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify (/ 1 1) into 1 1.361 * [taylor]: Taking taylor expansion of N in N 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 1 into 1 1.362 * [backup-simplify]: Simplify (- 1) into -1 1.362 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.362 * [backup-simplify]: Simplify (/ -1 1) into -1 1.362 * [backup-simplify]: Simplify (log -1) into (log -1) 1.363 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 1.363 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 1.364 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 1.364 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 1.364 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.364 * [taylor]: Taking taylor expansion of -1 in N 1.364 * [backup-simplify]: Simplify -1 into -1 1.364 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.364 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.364 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 1.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 1.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 1.365 * [taylor]: Taking taylor expansion of 1/3 in N 1.365 * [backup-simplify]: Simplify 1/3 into 1/3 1.365 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 1.365 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 1.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.365 * [taylor]: Taking taylor expansion of 1.0 in N 1.365 * [backup-simplify]: Simplify 1.0 into 1.0 1.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.365 * [taylor]: Taking taylor expansion of N in N 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (/ 1 1) into 1 1.365 * [taylor]: Taking taylor expansion of N in N 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (- 1) into -1 1.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.366 * [backup-simplify]: Simplify (/ -1 1) into -1 1.366 * [backup-simplify]: Simplify (log -1) into (log -1) 1.366 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 1.367 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 1.367 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 1.368 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 1.368 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 1.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify (- 0) into 0 1.369 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.370 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 1.374 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.374 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 1.375 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 1.377 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 1.378 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 1.379 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 1.386 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 1.386 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 1.387 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 1.391 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 1.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.393 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 1.394 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 1.396 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 1.396 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 1.396 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 1.396 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.396 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.396 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.396 * [taylor]: Taking taylor expansion of 1/3 in N 1.397 * [backup-simplify]: Simplify 1/3 into 1/3 1.397 * [taylor]: Taking taylor expansion of (log N) in N 1.397 * [taylor]: Taking taylor expansion of N in N 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (log 1) into 0 1.397 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.397 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.397 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.397 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.397 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.397 * [taylor]: Taking taylor expansion of 1/3 in N 1.397 * [backup-simplify]: Simplify 1/3 into 1/3 1.397 * [taylor]: Taking taylor expansion of (log N) in N 1.397 * [taylor]: Taking taylor expansion of N in N 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (log 1) into 0 1.398 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.398 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.398 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.398 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.399 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.399 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.400 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.402 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.402 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.403 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.403 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.406 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.406 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.407 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.407 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.413 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.414 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 1.421 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.430 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 1.433 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.448 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 1.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.452 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 1.452 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.452 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.452 * [taylor]: Taking taylor expansion of 1/3 in N 1.452 * [backup-simplify]: Simplify 1/3 into 1/3 1.452 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.453 * [taylor]: Taking taylor expansion of N in N 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.453 * [backup-simplify]: Simplify (/ 1 1) into 1 1.453 * [backup-simplify]: Simplify (log 1) into 0 1.453 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.453 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.453 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.453 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.454 * [taylor]: Taking taylor expansion of 1/3 in N 1.454 * [backup-simplify]: Simplify 1/3 into 1/3 1.454 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.454 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.454 * [taylor]: Taking taylor expansion of N in N 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (/ 1 1) into 1 1.454 * [backup-simplify]: Simplify (log 1) into 0 1.454 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.454 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.455 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.455 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 1.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.456 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.456 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.457 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.459 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.461 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.464 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.466 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.471 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.471 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.472 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.474 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.483 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.484 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.486 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.508 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.509 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.510 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.513 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 1.513 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.513 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.513 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.513 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.513 * [taylor]: Taking taylor expansion of -1 in N 1.513 * [backup-simplify]: Simplify -1 into -1 1.514 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.514 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.514 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.514 * [taylor]: Taking taylor expansion of 1/3 in N 1.514 * [backup-simplify]: Simplify 1/3 into 1/3 1.514 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.514 * [taylor]: Taking taylor expansion of N in N 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [backup-simplify]: Simplify (log 1) into 0 1.515 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.515 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.515 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.515 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.515 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.515 * [taylor]: Taking taylor expansion of -1 in N 1.515 * [backup-simplify]: Simplify -1 into -1 1.515 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.516 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.516 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.516 * [taylor]: Taking taylor expansion of 1/3 in N 1.516 * [backup-simplify]: Simplify 1/3 into 1/3 1.516 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.516 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.516 * [taylor]: Taking taylor expansion of N in N 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (/ 1 1) into 1 1.516 * [backup-simplify]: Simplify (log 1) into 0 1.517 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.517 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.517 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.517 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.518 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.519 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.519 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.520 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.520 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.522 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.523 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.523 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.525 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.528 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.530 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.531 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.536 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.537 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.539 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.541 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 1.541 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.550 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.551 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.553 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.555 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 1.555 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.571 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.573 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.576 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.585 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 1.586 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.586 * [backup-simplify]: Simplify (* (cbrt N) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (+ N 1.0)) 1/3) 1.586 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (+ N 1.0)) 1/3) in (N) around 0 1.586 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (+ N 1.0)) 1/3) in N 1.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (+ N 1.0))))) in N 1.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (+ N 1.0)))) in N 1.586 * [taylor]: Taking taylor expansion of 1/3 in N 1.586 * [backup-simplify]: Simplify 1/3 into 1/3 1.586 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (+ N 1.0))) in N 1.586 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ N 1.0)) in N 1.586 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.586 * [taylor]: Taking taylor expansion of N in N 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 1 into 1 1.586 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.586 * [taylor]: Taking taylor expansion of N in N 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [taylor]: Taking taylor expansion of 1.0 in N 1.587 * [backup-simplify]: Simplify 1.0 into 1.0 1.587 * [backup-simplify]: Simplify (* 1 1) into 1 1.587 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.587 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 1.588 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.588 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 1.589 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 1.589 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 1.589 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (+ N 1.0)) 1/3) in N 1.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (+ N 1.0))))) in N 1.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (+ N 1.0)))) in N 1.589 * [taylor]: Taking taylor expansion of 1/3 in N 1.589 * [backup-simplify]: Simplify 1/3 into 1/3 1.589 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (+ N 1.0))) in N 1.589 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ N 1.0)) in N 1.589 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.589 * [taylor]: Taking taylor expansion of N in N 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.589 * [taylor]: Taking taylor expansion of N in N 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [taylor]: Taking taylor expansion of 1.0 in N 1.589 * [backup-simplify]: Simplify 1.0 into 1.0 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.590 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.590 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 1.590 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.591 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 1.591 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 1.592 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 1.592 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 1.592 * [backup-simplify]: Simplify (+ 1 0) into 1 1.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.593 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1.0)) into 1 1.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.597 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 1.597 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.3333333333333333 1.599 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 1.599 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1.0))) into 0 1.606 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.606 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 1.608 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (* 2 (log N)))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 1.614 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 1.616 * [backup-simplify]: Simplify (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 1.619 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) N) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) into (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) 1.619 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (+ (/ 1 N) 1.0) (pow N 2)) 1/3) 1.619 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) (pow N 2)) 1/3) in (N) around 0 1.619 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) (pow N 2)) 1/3) in N 1.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) (pow N 2))))) in N 1.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) (pow N 2)))) in N 1.619 * [taylor]: Taking taylor expansion of 1/3 in N 1.619 * [backup-simplify]: Simplify 1/3 into 1/3 1.619 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) (pow N 2))) in N 1.619 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) (pow N 2)) in N 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.619 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.619 * [taylor]: Taking taylor expansion of N in N 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (/ 1 1) into 1 1.620 * [taylor]: Taking taylor expansion of 1.0 in N 1.620 * [backup-simplify]: Simplify 1.0 into 1.0 1.620 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.620 * [taylor]: Taking taylor expansion of N in N 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (+ 1 0) into 1 1.620 * [backup-simplify]: Simplify (* 1 1) into 1 1.620 * [backup-simplify]: Simplify (/ 1 1) into 1 1.621 * [backup-simplify]: Simplify (log 1) into 0 1.621 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) 0) into (- (* 3 (log N))) 1.621 * [backup-simplify]: Simplify (* 1/3 (- (* 3 (log N)))) into (* -1 (log N)) 1.621 * [backup-simplify]: Simplify (exp (* -1 (log N))) into (pow N -1) 1.621 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) (pow N 2)) 1/3) in N 1.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) (pow N 2))))) in N 1.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) (pow N 2)))) in N 1.621 * [taylor]: Taking taylor expansion of 1/3 in N 1.621 * [backup-simplify]: Simplify 1/3 into 1/3 1.621 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) (pow N 2))) in N 1.621 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) (pow N 2)) in N 1.621 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.621 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.621 * [taylor]: Taking taylor expansion of N in N 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (/ 1 1) into 1 1.621 * [taylor]: Taking taylor expansion of 1.0 in N 1.621 * [backup-simplify]: Simplify 1.0 into 1.0 1.621 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.621 * [taylor]: Taking taylor expansion of N in N 1.621 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (+ 1 0) into 1 1.622 * [backup-simplify]: Simplify (* 1 1) into 1 1.622 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [backup-simplify]: Simplify (log 1) into 0 1.623 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) 0) into (- (* 3 (log N))) 1.623 * [backup-simplify]: Simplify (* 1/3 (- (* 3 (log N)))) into (* -1 (log N)) 1.623 * [backup-simplify]: Simplify (exp (* -1 (log N))) into (pow N -1) 1.623 * [backup-simplify]: Simplify (pow N -1) into (pow N -1) 1.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.625 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 1.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.629 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) 0) into (- (* 3 (log N))) 1.629 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 3 (log N))))) into 0.3333333333333333 1.630 * [backup-simplify]: Simplify (* (exp (* -1 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (/ 0.3333333333333333 N) 1.630 * [backup-simplify]: Simplify (/ 0.3333333333333333 N) into (/ 0.3333333333333333 N) 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.638 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) 0) into (- (* 3 (log N))) 1.639 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 3 (log N)))))) into (- 0.16666666666666666) 1.642 * [backup-simplify]: Simplify (* (exp (* -1 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (/ -0.1111111111111111 N) 1.642 * [backup-simplify]: Simplify (/ -0.1111111111111111 N) into (/ -0.1111111111111111 N) 1.642 * [backup-simplify]: Simplify (+ (* (/ -0.1111111111111111 (/ 1 N)) (pow (/ 1 N) 2)) (+ (* (/ 0.3333333333333333 (/ 1 N)) (/ 1 N)) (pow (/ 1 N) -1))) into (- (+ (pow (/ 1 N) -1) 0.3333333333333333) (* 0.1111111111111111 (/ 1 N))) 1.643 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (cbrt -1) 2) (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3)) 1.643 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3)) in (N) around 0 1.643 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3)) in N 1.643 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.643 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.643 * [taylor]: Taking taylor expansion of -1 in N 1.643 * [backup-simplify]: Simplify -1 into -1 1.643 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.643 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.643 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3) in N 1.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (pow N 2))))) in N 1.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (pow N 2)))) in N 1.643 * [taylor]: Taking taylor expansion of 1/3 in N 1.643 * [backup-simplify]: Simplify 1/3 into 1/3 1.643 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (pow N 2))) in N 1.643 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (pow N 2)) in N 1.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.644 * [taylor]: Taking taylor expansion of 1.0 in N 1.644 * [backup-simplify]: Simplify 1.0 into 1.0 1.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (/ 1 1) into 1 1.644 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (- 1) into -1 1.644 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.645 * [backup-simplify]: Simplify (* 1 1) into 1 1.645 * [backup-simplify]: Simplify (/ -1 1) into -1 1.645 * [backup-simplify]: Simplify (log -1) into (log -1) 1.646 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log -1)) into (- (log -1) (* 3 (log N))) 1.646 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 3 (log N)))) into (* 1/3 (- (log -1) (* 3 (log N)))) 1.646 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 3 (log N))))) into (exp (* 1/3 (- (log -1) (* 3 (log N))))) 1.646 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3)) in N 1.646 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.646 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.646 * [taylor]: Taking taylor expansion of -1 in N 1.646 * [backup-simplify]: Simplify -1 into -1 1.647 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.647 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.647 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (pow N 2)) 1/3) in N 1.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (pow N 2))))) in N 1.647 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (pow N 2)))) in N 1.647 * [taylor]: Taking taylor expansion of 1/3 in N 1.647 * [backup-simplify]: Simplify 1/3 into 1/3 1.647 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (pow N 2))) in N 1.647 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (pow N 2)) in N 1.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.647 * [taylor]: Taking taylor expansion of 1.0 in N 1.647 * [backup-simplify]: Simplify 1.0 into 1.0 1.647 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.647 * [taylor]: Taking taylor expansion of N in N 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.647 * [taylor]: Taking taylor expansion of N in N 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (- 1) into -1 1.648 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.648 * [backup-simplify]: Simplify (* 1 1) into 1 1.648 * [backup-simplify]: Simplify (/ -1 1) into -1 1.649 * [backup-simplify]: Simplify (log -1) into (log -1) 1.649 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log -1)) into (- (log -1) (* 3 (log N))) 1.649 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 3 (log N)))) into (* 1/3 (- (log -1) (* 3 (log N)))) 1.650 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 3 (log N))))) into (exp (* 1/3 (- (log -1) (* 3 (log N))))) 1.651 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 1.652 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))) into (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))) 1.652 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))) into (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))) 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.655 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 1.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.659 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log -1)) into (- (log -1) (* 3 (log N))) 1.660 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 3 (log N))))) into (- 0.3333333333333333) 1.662 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 3 (log N)))))) 1.662 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 1.663 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 3 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 3 (log N))))))) into (- (* 0.3333333333333333 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) 1.665 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) into (- (* 0.3333333333333333 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) 1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (- 0) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 1.681 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log -1)) into (- (log -1) (* 3 (log N))) 1.681 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 3 (log N)))))) into (- 0.16666666666666666) 1.685 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 3 (log N)))))) 1.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.687 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.688 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 3 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 3 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) 1.689 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log N)))))))) 1.693 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ 1 (- N)))))))))) into (- (+ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) (pow N 2)))) 1.693 * * * [progress]: simplifying candidates 1.694 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (* N (* (+ N 1.0) N)) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (+ (log (cbrt N)) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (* N (* (+ N 1.0) N)) (* (cbrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt N) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (* (* (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt N) (cbrt (* (+ N 1.0) N)))) (* (cbrt (sqrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (sqrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt N) (cbrt (+ N 1.0))) (* (cbrt N) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt N) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (sqrt N)) (cbrt (* (+ N 1.0) N))) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt N)) (cbrt (* (+ N 1.0) N))) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt N) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -1) 0.3333333333333333) (* 0.1111111111111111 (/ 1 N))) (- (+ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 N))))))) (pow N 2)))) 1.695 * [simplify]: Sending expressions to egg_math: (log (cbrt (* (+ h0 h1) h0))) (exp (cbrt (* (+ h0 h1) h0))) (cbrt (+ h0 h1)) (cbrt h0) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (- h0 h1)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (cbrt (cbrt (* (+ h0 h1) h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (log (cbrt (* (+ h0 h1) h0))) (exp (cbrt (* (+ h0 h1) h0))) (cbrt (+ h0 h1)) (cbrt h0) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) h0)) (cbrt (- h0 h1)) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0)))) (cbrt (cbrt (* (+ h0 h1) h0))) (* (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (sqrt (cbrt (* (+ h0 h1) h0))) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (* h0 (* (+ h0 h1) h0)) (* (cbrt h0) (cbrt (* (+ h0 h1) h0))) (+ (log (cbrt h0)) (log (cbrt (* (+ h0 h1) h0)))) (log (* (cbrt h0) (cbrt (* (+ h0 h1) h0)))) (exp (* (cbrt h0) (cbrt (* (+ h0 h1) h0)))) (* h0 (* (+ h0 h1) h0)) (* (cbrt (* (cbrt h0) (cbrt (* (+ h0 h1) h0)))) (cbrt (* (cbrt h0) (cbrt (* (+ h0 h1) h0))))) (cbrt (* (cbrt h0) (cbrt (* (+ h0 h1) h0)))) (* (* (* (cbrt h0) (cbrt (* (+ h0 h1) h0))) (* (cbrt h0) (cbrt (* (+ h0 h1) h0)))) (* (cbrt h0) (cbrt (* (+ h0 h1) h0)))) (sqrt (* (cbrt h0) (cbrt (* (+ h0 h1) h0)))) (sqrt (* (cbrt h0) (cbrt (* (+ h0 h1) h0)))) (* (cbrt (sqrt h0)) (sqrt (cbrt (* (+ h0 h1) h0)))) (* (cbrt (sqrt h0)) (sqrt (cbrt (* (+ h0 h1) h0)))) (* (sqrt (cbrt h0)) (sqrt (cbrt (* (+ h0 h1) h0)))) (* (sqrt (cbrt h0)) (sqrt (cbrt (* (+ h0 h1) h0)))) (* (cbrt h0) (cbrt (+ h0 h1))) (* (cbrt h0) (* (cbrt (cbrt (* (+ h0 h1) h0))) (cbrt (cbrt (* (+ h0 h1) h0))))) (* (cbrt h0) (sqrt (cbrt (* (+ h0 h1) h0)))) (* (cbrt h0) 1) (* (cbrt (cbrt h0)) (cbrt (* (+ h0 h1) h0))) (* (cbrt (sqrt h0)) (cbrt (* (+ h0 h1) h0))) (* (cbrt h0) (cbrt (* (+ h0 h1) h0))) (* (cbrt (cbrt h0)) (cbrt (* (+ h0 h1) h0))) (* (sqrt (cbrt h0)) (cbrt (* (+ h0 h1) h0))) (* (cbrt h0) (cbrt (* (+ h0 h1) h0))) (* (cbrt h0) (cbrt (* (+ (pow h0 3) (pow h1 3)) h0))) (* (cbrt h0) (cbrt (* (- (* h0 h0) (* h1 h1)) h0))) (- (+ (exp (* 1/3 (+ (log h1) (log h0)))) (+ (* h2 (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2))) (* h3 (* (exp (* 1/3 (+ (log h1) (log h0)))) h0)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2)) (pow h1 2)))) (- (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (* h3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* h4 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2)))) (- (+ (exp (* 1/3 (+ (log h1) (log h0)))) (+ (* h2 (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2))) (* h3 (* (exp (* 1/3 (+ (log h1) (log h0)))) h0)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log h1) (log h0)))) (pow h0 2)) (pow h1 2)))) (- (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (* h3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) h0))) (* h4 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 h0))))))) (pow h0 2)))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (- (+ (* h3 (* h0 (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (+ (* h2 (* (pow h0 2) (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (exp (* 1/3 (+ (log h1) (* 2 (log h0))))))) (* 1/6 (/ (* (pow h0 2) (exp (* 1/3 (+ (log h1) (* 2 (log h0)))))) (pow h1 2)))) (- (+ (pow (/ 1 h0) -1) h3) (* h4 (/ 1 h0))) (- (+ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 h0))))))) (* h3 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 h0))))))) h0))) (* h4 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 h0))))))) (pow h0 2)))) 1.700 * * [simplify]: iteration 0 : 360 enodes (cost 572 ) 1.706 * * [simplify]: iteration 1 : 1240 enodes (cost 535 ) 1.731 * * [simplify]: iteration 2 : 5002 enodes (cost 503 ) 1.734 * * * [progress]: adding candidates to table 1.986 * [progress]: [Phase 3 of 3] Extracting. 1.987 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.987 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.987 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 2.012 * * * [regime]: Found split indices: #