31.974 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.036 * [simplify]: Sending expressions to egg_math: (- (atan (+ h0 1.0)) (atan h0)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.062 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.065 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.065 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.065 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.065 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.066 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.066 * [taylor]: Taking taylor expansion of (atan N) in N 0.066 * [backup-simplify]: Simplify (atan N) into (atan N) 0.066 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.066 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.066 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.066 * [taylor]: Taking taylor expansion of (atan N) in N 0.066 * [backup-simplify]: Simplify (atan N) into (atan N) 0.066 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.066 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.066 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.070 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.070 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.070 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.070 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.070 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.070 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.070 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.070 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.070 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.070 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.070 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.071 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.071 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.071 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.074 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.074 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.074 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.074 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.074 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.074 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.074 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.074 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.074 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.074 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.074 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.075 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.075 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.078 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.078 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.078 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.078 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.078 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.078 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.078 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.078 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.078 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.079 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.079 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.079 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.079 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.079 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.079 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.079 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.079 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.079 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.079 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.079 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.080 * * * [progress]: simplifying candidates 0.080 * [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)) 0.080 * [simplify]: Sending expressions to egg_math: (- (+ h0 1.0) h0) (+ 1 (* (+ h0 1.0) h0)) (/ (exp (atan (+ h0 1.0))) (exp (atan h0))) (log (- (atan (+ h0 1.0)) (atan h0))) (exp (- (atan (+ h0 1.0)) (atan h0))) (* (cbrt (- (atan (+ h0 1.0)) (atan h0))) (cbrt (- (atan (+ h0 1.0)) (atan h0)))) (cbrt (- (atan (+ h0 1.0)) (atan h0))) (* (* (- (atan (+ h0 1.0)) (atan h0)) (- (atan (+ h0 1.0)) (atan h0))) (- (atan (+ h0 1.0)) (atan h0))) (sqrt (- (atan (+ h0 1.0)) (atan h0))) (sqrt (- (atan (+ h0 1.0)) (atan h0))) (- (pow (atan (+ h0 1.0)) 3) (pow (atan h0) 3)) (+ (* (atan (+ h0 1.0)) (atan (+ h0 1.0))) (+ (* (atan h0) (atan h0)) (* (atan (+ h0 1.0)) (atan h0)))) (- (atan h0)) (- (* (atan (+ h0 1.0)) (atan (+ h0 1.0))) (* (atan h0) (atan h0))) (+ (atan (+ h0 1.0)) (atan h0)) (+ (sqrt (atan (+ h0 1.0))) (sqrt (atan h0))) (- (sqrt (atan (+ h0 1.0))) (sqrt (atan h0))) (- (atan (+ h0 1.0)) (atan h0)) (- (atan h0)) (log (atan (+ h0 1.0))) (exp (atan (+ h0 1.0))) (* (cbrt (atan (+ h0 1.0))) (cbrt (atan (+ h0 1.0)))) (cbrt (atan (+ h0 1.0))) (* (* (atan (+ h0 1.0)) (atan (+ h0 1.0))) (atan (+ h0 1.0))) (sqrt (atan (+ h0 1.0))) (sqrt (atan (+ h0 1.0))) (- (atan (+ h0 1.0)) (atan h0)) (- (atan (+ h0 1.0)) (atan h0)) (- (atan (+ h0 1.0)) (atan h0)) (atan (+ h0 1.0)) (atan (+ h0 1.0)) (atan (+ h0 1.0)) 0.126 * * * [progress]: adding candidates to table 0.240 * * [progress]: iteration 2 / 4 0.241 * * * [progress]: picking best candidate 0.243 * * * * [pick]: Picked # 0.243 * * * [progress]: localizing error 0.257 * * * [progress]: generating rewritten candidates 0.257 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.258 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.307 * * * [progress]: generating series expansions 0.307 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.308 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.308 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.308 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.308 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.308 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.308 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.309 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.310 * [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))) 0.310 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.310 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.310 * [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))) 0.310 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.310 * [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))) 0.311 * [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))) 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [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))) 0.312 * [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)))) 0.312 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.312 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.312 * [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)))) 0.312 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.312 * [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)))) 0.313 * [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)))) 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [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))) 0.314 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.314 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 0.314 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.314 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.314 * [taylor]: Taking taylor expansion of N in N 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.314 * [taylor]: Taking taylor expansion of N in N 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of 1.0 in N 0.314 * [backup-simplify]: Simplify 1.0 into 1.0 0.314 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.314 * [taylor]: Taking taylor expansion of N in N 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.314 * [taylor]: Taking taylor expansion of N in N 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of 1.0 in N 0.314 * [backup-simplify]: Simplify 1.0 into 1.0 0.315 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.316 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ 1 0) into 1 0.318 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.318 * [backup-simplify]: Simplify 1.0 into 1.0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 0.334 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 0.334 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of 1.0 in N 0.335 * [backup-simplify]: Simplify 1.0 into 1.0 0.335 * [taylor]: Taking taylor expansion of N in N 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.336 * [taylor]: Taking taylor expansion of N in N 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of 1.0 in N 0.336 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [taylor]: Taking taylor expansion of N in N 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (+ 1 0) into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.340 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 0.340 * [backup-simplify]: Simplify 1.0 into 1.0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [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 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [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 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [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 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 0.357 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 0.357 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.357 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.358 * [taylor]: Taking taylor expansion of -1 in N 0.358 * [backup-simplify]: Simplify -1 into -1 0.358 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.358 * [taylor]: Taking taylor expansion of 1.0 in N 0.358 * [backup-simplify]: Simplify 1.0 into 1.0 0.358 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.358 * [taylor]: Taking taylor expansion of N in N 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [taylor]: Taking taylor expansion of N in N 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (- 1) into -1 0.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.359 * [backup-simplify]: Simplify (/ -1 1) into -1 0.359 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.360 * [taylor]: Taking taylor expansion of -1 in N 0.360 * [backup-simplify]: Simplify -1 into -1 0.360 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.360 * [taylor]: Taking taylor expansion of 1.0 in N 0.360 * [backup-simplify]: Simplify 1.0 into 1.0 0.360 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.360 * [taylor]: Taking taylor expansion of N in N 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [taylor]: Taking taylor expansion of N in N 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (- 1) into -1 0.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.361 * [backup-simplify]: Simplify (/ -1 1) into -1 0.362 * [backup-simplify]: Simplify (* -1 -1) into 1 0.362 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.366 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 0.367 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 0.367 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [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 0.390 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [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 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [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 0.396 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 0.397 * * * [progress]: simplifying candidates 0.398 * [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)) 0.398 * [simplify]: Sending expressions to egg_math: (log (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (exp (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (* (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (* (+ h0 1.0) h0) (+ (log (+ h0 1.0)) (log h0)) (log (* (+ h0 1.0) h0)) (exp (* (+ h0 1.0) h0)) (* (* (* (+ h0 1.0) (+ h0 1.0)) (+ h0 1.0)) (* (* h0 h0) h0)) (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0))) (cbrt (* (+ h0 1.0) h0)) (* (* (* (+ h0 1.0) h0) (* (+ h0 1.0) h0)) (* (+ h0 1.0) h0)) (sqrt (* (+ h0 1.0) h0)) (sqrt (* (+ h0 1.0) h0)) (* (sqrt (+ h0 1.0)) (sqrt h0)) (* (sqrt (+ h0 1.0)) (sqrt h0)) (* (+ h0 1.0) (* (cbrt h0) (cbrt h0))) (* (+ h0 1.0) (sqrt h0)) (* (+ h0 1.0) 1) (* (cbrt (+ h0 1.0)) h0) (* (sqrt (+ h0 1.0)) h0) (* (+ h0 1.0) h0) (* (+ h0 1.0) h0) (* (+ (pow h0 3) (pow 1.0 3)) h0) (* (- (* h0 h0) (* 1.0 1.0)) h0) (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))) (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))) (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))) (+ (pow h0 2) (* 1.0 h0)) (+ (pow h0 2) (* 1.0 h0)) (+ (pow h0 2) (* 1.0 h0)) 0.441 * * * [progress]: adding candidates to table 0.539 * * [progress]: iteration 3 / 4 0.539 * * * [progress]: picking best candidate 0.553 * * * * [pick]: Picked # 0.553 * * * [progress]: localizing error 0.566 * * * [progress]: generating rewritten candidates 0.566 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.567 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.568 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 0.569 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 0.590 * * * [progress]: generating series expansions 0.590 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.591 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 0.591 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.591 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.591 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.591 * [taylor]: Taking taylor expansion of 1/3 in N 0.591 * [backup-simplify]: Simplify 1/3 into 1/3 0.591 * [taylor]: Taking taylor expansion of (log N) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (log 1) into 0 0.592 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.592 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 0.592 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 0.592 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.592 * [taylor]: Taking taylor expansion of 1/3 in N 0.592 * [backup-simplify]: Simplify 1/3 into 1/3 0.592 * [taylor]: Taking taylor expansion of (log N) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (log 1) into 0 0.592 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.593 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 0.593 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 0.593 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 0.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.594 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.594 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 0.595 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.597 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 0.598 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.601 * [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 0.602 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.602 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 0.603 * [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 0.603 * [backup-simplify]: Simplify 0 into 0 0.610 * [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 0.610 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 0.613 * [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 0.613 * [backup-simplify]: Simplify 0 into 0 0.629 * [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 0.630 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.632 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 0.636 * [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 0.637 * [backup-simplify]: Simplify 0 into 0 0.680 * [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 0.681 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.683 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 0.687 * [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 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 0.688 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 0.688 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.688 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.688 * [taylor]: Taking taylor expansion of 1/3 in N 0.688 * [backup-simplify]: Simplify 1/3 into 1/3 0.688 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.688 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.688 * [taylor]: Taking taylor expansion of N in N 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [backup-simplify]: Simplify (log 1) into 0 0.689 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.689 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.689 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.689 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.689 * [taylor]: Taking taylor expansion of 1/3 in N 0.689 * [backup-simplify]: Simplify 1/3 into 1/3 0.689 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.689 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.689 * [taylor]: Taking taylor expansion of N in N 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (/ 1 1) into 1 0.689 * [backup-simplify]: Simplify (log 1) into 0 0.690 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.690 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.690 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.690 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.691 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 0.692 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.695 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 0.696 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.696 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.701 * [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 0.701 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.702 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 0.703 * [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 0.703 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [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 0.711 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.712 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 0.714 * [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 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.731 * [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 0.732 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.734 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 0.737 * [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 0.737 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [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 0.756 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.757 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 0.760 * [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 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 0.761 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 0.761 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.761 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.761 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.761 * [taylor]: Taking taylor expansion of -1 in N 0.761 * [backup-simplify]: Simplify -1 into -1 0.761 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.761 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.761 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.762 * [taylor]: Taking taylor expansion of 1/3 in N 0.762 * [backup-simplify]: Simplify 1/3 into 1/3 0.762 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.762 * [taylor]: Taking taylor expansion of N in N 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (/ 1 1) into 1 0.762 * [backup-simplify]: Simplify (log 1) into 0 0.762 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.762 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.763 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.763 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.763 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.763 * [taylor]: Taking taylor expansion of -1 in N 0.763 * [backup-simplify]: Simplify -1 into -1 0.763 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.763 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.763 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.763 * [taylor]: Taking taylor expansion of 1/3 in N 0.763 * [backup-simplify]: Simplify 1/3 into 1/3 0.763 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.763 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.763 * [taylor]: Taking taylor expansion of N in N 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [backup-simplify]: Simplify (log 1) into 0 0.764 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.764 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.764 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.765 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 0.765 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.767 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.767 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 0.767 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.772 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.778 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 0.779 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 0.782 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [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 0.789 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.790 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 0.792 * [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 0.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 0.795 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [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 0.806 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.807 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 0.809 * [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 0.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 0.811 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [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 0.823 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.824 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 0.826 * [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 0.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 0.829 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [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 0.857 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.859 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 0.863 * [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 0.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 0.866 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 0.866 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.866 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 0.866 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.866 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.866 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.866 * [taylor]: Taking taylor expansion of 1/3 in N 0.866 * [backup-simplify]: Simplify 1/3 into 1/3 0.866 * [taylor]: Taking taylor expansion of (log N) in N 0.866 * [taylor]: Taking taylor expansion of N in N 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (log 1) into 0 0.867 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.867 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 0.867 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 0.867 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.867 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.867 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.867 * [taylor]: Taking taylor expansion of 1/3 in N 0.867 * [backup-simplify]: Simplify 1/3 into 1/3 0.867 * [taylor]: Taking taylor expansion of (log N) in N 0.867 * [taylor]: Taking taylor expansion of N in N 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (log 1) into 0 0.868 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.868 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 0.868 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 0.868 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 0.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.869 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.869 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 0.870 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.872 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.872 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 0.873 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.876 * [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 0.876 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.877 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 0.878 * [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 0.878 * [backup-simplify]: Simplify 0 into 0 0.884 * [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 0.884 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.888 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 0.890 * [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 0.890 * [backup-simplify]: Simplify 0 into 0 0.899 * [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 0.899 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.900 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 0.902 * [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 0.902 * [backup-simplify]: Simplify 0 into 0 0.925 * [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 0.926 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.928 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 0.935 * [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 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 0.935 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 0.935 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.935 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.935 * [taylor]: Taking taylor expansion of 1/3 in N 0.935 * [backup-simplify]: Simplify 1/3 into 1/3 0.935 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.935 * [taylor]: Taking taylor expansion of N in N 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (/ 1 1) into 1 0.936 * [backup-simplify]: Simplify (log 1) into 0 0.937 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.937 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.937 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.937 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.937 * [taylor]: Taking taylor expansion of 1/3 in N 0.937 * [backup-simplify]: Simplify 1/3 into 1/3 0.937 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.937 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.937 * [taylor]: Taking taylor expansion of N in N 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (/ 1 1) into 1 0.938 * [backup-simplify]: Simplify (log 1) into 0 0.938 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.938 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.938 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.939 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.941 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.942 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 0.943 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.948 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.948 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 0.950 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.956 * [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 0.957 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 0.960 * [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 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.972 * [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 0.973 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.974 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 0.975 * [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 0.975 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.985 * [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 0.986 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.987 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 0.989 * [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 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.010 * [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 1.010 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.012 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.015 * [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 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 1.015 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.015 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.015 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.015 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.015 * [taylor]: Taking taylor expansion of -1 in N 1.015 * [backup-simplify]: Simplify -1 into -1 1.016 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.016 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.016 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.016 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.016 * [taylor]: Taking taylor expansion of 1/3 in N 1.016 * [backup-simplify]: Simplify 1/3 into 1/3 1.016 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.016 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.016 * [taylor]: Taking taylor expansion of N in N 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (/ 1 1) into 1 1.017 * [backup-simplify]: Simplify (log 1) into 0 1.017 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.017 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.017 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.017 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.017 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.017 * [taylor]: Taking taylor expansion of -1 in N 1.017 * [backup-simplify]: Simplify -1 into -1 1.018 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.018 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.018 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.018 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.018 * [taylor]: Taking taylor expansion of 1/3 in N 1.018 * [backup-simplify]: Simplify 1/3 into 1/3 1.018 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.018 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.018 * [taylor]: Taking taylor expansion of N in N 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (/ 1 1) into 1 1.019 * [backup-simplify]: Simplify (log 1) into 0 1.019 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.019 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.019 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.020 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.020 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.021 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.022 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.022 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.023 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.025 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.026 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.026 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.028 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.031 * [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 1.032 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.032 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.033 * [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 1.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.035 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.041 * [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 1.042 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.043 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.044 * [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 1.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.046 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.063 * [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 1.064 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.065 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.068 * [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 1.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.070 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.087 * [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 1.088 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.089 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.097 * [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 1.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.102 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 1.102 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 1.103 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 1.103 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 1.103 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.103 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.103 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.103 * [taylor]: Taking taylor expansion of 1/3 in N 1.103 * [backup-simplify]: Simplify 1/3 into 1/3 1.103 * [taylor]: Taking taylor expansion of (log N) in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (log 1) into 0 1.104 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.104 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.104 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.104 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.104 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.104 * [taylor]: Taking taylor expansion of 1/3 in N 1.104 * [backup-simplify]: Simplify 1/3 into 1/3 1.104 * [taylor]: Taking taylor expansion of (log N) in N 1.104 * [taylor]: Taking taylor expansion of N in N 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (log 1) into 0 1.105 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.106 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.106 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.106 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.108 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.108 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.109 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.109 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.113 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.114 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.115 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.120 * [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 1.121 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.122 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.124 * [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 1.124 * [backup-simplify]: Simplify 0 into 0 1.136 * [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 1.136 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.138 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 1.142 * [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 1.142 * [backup-simplify]: Simplify 0 into 0 1.160 * [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 1.161 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 1.167 * [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 1.167 * [backup-simplify]: Simplify 0 into 0 1.200 * [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 1.201 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.203 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 1.209 * [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 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.210 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 1.210 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.210 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.210 * [taylor]: Taking taylor expansion of 1/3 in N 1.210 * [backup-simplify]: Simplify 1/3 into 1/3 1.210 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.210 * [taylor]: Taking taylor expansion of N in N 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify (/ 1 1) into 1 1.211 * [backup-simplify]: Simplify (log 1) into 0 1.211 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.211 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.211 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.211 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.212 * [taylor]: Taking taylor expansion of 1/3 in N 1.212 * [backup-simplify]: Simplify 1/3 into 1/3 1.212 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.212 * [taylor]: Taking taylor expansion of N in N 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (/ 1 1) into 1 1.212 * [backup-simplify]: Simplify (log 1) into 0 1.213 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.213 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.213 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.214 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 1.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.218 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.219 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.225 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.226 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.233 * [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 1.233 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.236 * [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 1.236 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.247 * [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 1.247 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.248 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.249 * [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 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.263 * [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 1.263 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.264 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.268 * [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 1.268 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.299 * [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 1.300 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.301 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.304 * [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 1.304 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 1.305 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.305 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.305 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.305 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.305 * [taylor]: Taking taylor expansion of -1 in N 1.305 * [backup-simplify]: Simplify -1 into -1 1.305 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.306 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.306 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.306 * [taylor]: Taking taylor expansion of 1/3 in N 1.306 * [backup-simplify]: Simplify 1/3 into 1/3 1.306 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.306 * [taylor]: Taking taylor expansion of N in N 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (/ 1 1) into 1 1.306 * [backup-simplify]: Simplify (log 1) into 0 1.307 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.307 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.307 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.307 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.307 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.307 * [taylor]: Taking taylor expansion of -1 in N 1.307 * [backup-simplify]: Simplify -1 into -1 1.307 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.307 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.307 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.307 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.307 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.307 * [taylor]: Taking taylor expansion of 1/3 in N 1.308 * [backup-simplify]: Simplify 1/3 into 1/3 1.308 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.308 * [taylor]: Taking taylor expansion of N in N 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (/ 1 1) into 1 1.308 * [backup-simplify]: Simplify (log 1) into 0 1.308 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.308 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.308 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.309 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.309 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.311 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.311 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.312 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.312 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.314 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.315 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.316 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.317 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.320 * [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 1.321 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.321 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.322 * [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 1.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.324 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.336 * [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 1.336 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.338 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.340 * [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 1.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.344 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 1.344 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [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 1.364 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.366 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.370 * [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 1.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.374 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [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 1.403 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.408 * [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 1.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.411 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 1.412 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.412 * [backup-simplify]: Simplify (* (cbrt N) (cbrt N)) into (pow (pow N 2) 1/3) 1.412 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 1.412 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.412 * [taylor]: Taking taylor expansion of 1/3 in N 1.412 * [backup-simplify]: Simplify 1/3 into 1/3 1.412 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.412 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.412 * [taylor]: Taking taylor expansion of N in N 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (* 1 1) into 1 1.413 * [backup-simplify]: Simplify (log 1) into 0 1.413 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.413 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1.413 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1.413 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.413 * [taylor]: Taking taylor expansion of 1/3 in N 1.413 * [backup-simplify]: Simplify 1/3 into 1/3 1.413 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.413 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.413 * [taylor]: Taking taylor expansion of N in N 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (* 1 1) into 1 1.414 * [backup-simplify]: Simplify (log 1) into 0 1.414 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.414 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1.414 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1.414 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.415 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.416 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.416 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 1.416 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.416 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.418 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.419 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.419 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 1.420 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.423 * [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 1.424 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 1.425 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.432 * [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 1.433 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 1.435 * [backup-simplify]: Simplify (* (exp (* 2/3 (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 1.435 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.447 * [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 1.447 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 1.450 * [backup-simplify]: Simplify (* (exp (* 2/3 (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 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.470 * [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 1.471 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.472 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 1.481 * [backup-simplify]: Simplify (* (exp (* 2/3 (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 1.481 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 1.482 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 1.482 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 1.482 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.482 * [taylor]: Taking taylor expansion of 1/3 in N 1.482 * [backup-simplify]: Simplify 1/3 into 1/3 1.482 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.482 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.482 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.482 * [taylor]: Taking taylor expansion of N in N 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (* 1 1) into 1 1.483 * [backup-simplify]: Simplify (/ 1 1) into 1 1.483 * [backup-simplify]: Simplify (log 1) into 0 1.483 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.483 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.483 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.483 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.483 * [taylor]: Taking taylor expansion of 1/3 in N 1.483 * [backup-simplify]: Simplify 1/3 into 1/3 1.483 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.483 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.484 * [taylor]: Taking taylor expansion of N in N 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (* 1 1) into 1 1.484 * [backup-simplify]: Simplify (/ 1 1) into 1 1.484 * [backup-simplify]: Simplify (log 1) into 0 1.485 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.485 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.485 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.485 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 1.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.487 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 1.488 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.491 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.491 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 1.492 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [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 1.500 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.502 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 1.503 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.517 * [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 1.518 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.519 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 1.522 * [backup-simplify]: Simplify (* (exp (* -2/3 (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 1.522 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.543 * [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 1.543 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 1.550 * [backup-simplify]: Simplify (* (exp (* -2/3 (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 1.550 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.586 * [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 1.586 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.589 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 1.595 * [backup-simplify]: Simplify (* (exp (* -2/3 (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 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 1.596 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) 1.596 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in (N) around 0 1.596 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 1.596 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.596 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.596 * [taylor]: Taking taylor expansion of -1 in N 1.596 * [backup-simplify]: Simplify -1 into -1 1.597 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.597 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.597 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.598 * [taylor]: Taking taylor expansion of 1/3 in N 1.598 * [backup-simplify]: Simplify 1/3 into 1/3 1.598 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.598 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.598 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.598 * [taylor]: Taking taylor expansion of N in N 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (* 1 1) into 1 1.598 * [backup-simplify]: Simplify (/ 1 1) into 1 1.599 * [backup-simplify]: Simplify (log 1) into 0 1.599 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.599 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.600 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.600 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 1.600 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.600 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.600 * [taylor]: Taking taylor expansion of -1 in N 1.600 * [backup-simplify]: Simplify -1 into -1 1.600 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.601 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.601 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.601 * [taylor]: Taking taylor expansion of 1/3 in N 1.601 * [backup-simplify]: Simplify 1/3 into 1/3 1.601 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.601 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.601 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.601 * [taylor]: Taking taylor expansion of N in N 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.602 * [backup-simplify]: Simplify (* 1 1) into 1 1.602 * [backup-simplify]: Simplify (/ 1 1) into 1 1.602 * [backup-simplify]: Simplify (log 1) into 0 1.603 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.603 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.603 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.605 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 1.606 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow N -2/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) 1.607 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.611 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.611 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 1.612 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.613 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 1.614 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (* 0 (pow N -2/3))) into 0 1.614 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.619 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.620 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 1.622 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.624 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.626 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (* 0 (pow N -2/3)))) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.643 * [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 1.644 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.646 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 1.647 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.649 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 1.651 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -2/3))))) into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.659 * [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 1.659 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.661 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 1.662 * [backup-simplify]: Simplify (* (exp (* -2/3 (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 1.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.664 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 1.666 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -2/3)))))) into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.680 * [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 1.680 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.683 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 1.688 * [backup-simplify]: Simplify (* (exp (* -2/3 (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 1.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.692 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 1.695 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -2/3))))))) into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.733 * [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 1.733 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.736 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 1.742 * [backup-simplify]: Simplify (* (exp (* -2/3 (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 1.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.746 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 1.749 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -2/3)))))))) into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) into (* (pow (cbrt -1) 2) (pow (pow N 2) 1/3)) 1.750 * * * [progress]: simplifying candidates 1.752 * [simplify]: Simplifying: (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)) (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)) (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)) (+ 1/3 1/3) (+ 1 1) (* N N) (* (cbrt N) (cbrt N)) (+ 1 1) (+ (log (cbrt N)) (log (cbrt N))) (log (* (cbrt N) (cbrt N))) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 1 1) (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 2 1/3) (* 2 1) (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (* (cbrt N) (cbrt 1)) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt N) (sqrt (cbrt N))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (cbrt -1) 2) (pow (pow N 2) 1/3)) 1.753 * [simplify]: Sending expressions to egg_math: (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)) (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)) (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)) (+ (/ 1 3) (/ 1 3)) (+ 1 1) (* h0 h0) (* (cbrt h0) (cbrt h0)) (+ 1 1) (+ (log (cbrt h0)) (log (cbrt h0))) (log (* (cbrt h0) (cbrt h0))) (exp (* (cbrt h0) (cbrt h0))) (* h0 h0) (* (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (* (cbrt h0) (cbrt h0)))) (cbrt (* (cbrt h0) (cbrt h0))) (* (* (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0))) (* (cbrt h0) (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (* (cbrt h0) (cbrt h0)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt 1) (cbrt 1)) (* (cbrt h0) (cbrt h0)) (* (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* 1 1) (* (cbrt h0) (cbrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (sqrt (cbrt h0))) (* (cbrt (sqrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (cbrt (sqrt h0))) (* (sqrt (cbrt h0)) (cbrt (sqrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* 2 (/ 1 3)) (* 2 1) (* (cbrt h0) (cbrt (* (cbrt h0) (cbrt h0)))) (* (cbrt h0) (cbrt (sqrt h0))) (* (cbrt h0) (cbrt 1)) (* (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (* (cbrt h0) (sqrt (cbrt h0))) (* (cbrt h0) 1) (* (cbrt (cbrt h0)) (cbrt h0)) (* (cbrt (sqrt h0)) (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt (cbrt h0)) (cbrt h0)) (* (sqrt (cbrt h0)) (cbrt h0)) (* (cbrt h0) (cbrt h0)) (pow h0 (/ 1 3)) (pow (/ 1 h0) (/ -1 3)) (* (pow (* -1 h0) (/ 1 3)) (cbrt -1)) (pow h0 (/ 1 3)) (pow (/ 1 h0) (/ -1 3)) (* (pow (* -1 h0) (/ 1 3)) (cbrt -1)) (pow h0 (/ 1 3)) (pow (/ 1 h0) (/ -1 3)) (* (pow (* -1 h0) (/ 1 3)) (cbrt -1)) (pow h0 (/ 2 3)) (pow (/ 1 h0) (/ -2 3)) (* (pow (cbrt -1) 2) (pow (pow h0 2) (/ 1 3))) 1.807 * * * [progress]: adding candidates to table 2.162 * * [progress]: iteration 4 / 4 2.163 * * * [progress]: picking best candidate 2.180 * * * * [pick]: Picked # 2.180 * * * [progress]: localizing error 2.202 * * * [progress]: generating rewritten candidates 2.202 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 2.206 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 2.210 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 2.215 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.262 * * * [progress]: generating series expansions 2.262 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 2.262 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 2.262 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 2.262 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.262 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.262 * [taylor]: Taking taylor expansion of 1/3 in N 2.262 * [backup-simplify]: Simplify 1/3 into 1/3 2.262 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.262 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.262 * [taylor]: Taking taylor expansion of N in N 2.262 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of 1.0 in N 2.263 * [backup-simplify]: Simplify 1.0 into 1.0 2.263 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.264 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.264 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 2.265 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 2.265 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.266 * [taylor]: Taking taylor expansion of 1/3 in N 2.266 * [backup-simplify]: Simplify 1/3 into 1/3 2.266 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.266 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.266 * [taylor]: Taking taylor expansion of N in N 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [taylor]: Taking taylor expansion of 1.0 in N 2.266 * [backup-simplify]: Simplify 1.0 into 1.0 2.266 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.266 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.267 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 2.268 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 2.268 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 2.268 * [backup-simplify]: Simplify (+ 1 0) into 1 2.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.273 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 2.276 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 2.276 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 2.277 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [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)) 2.285 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 2.300 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (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)))) (pow 1.0 1/3)) 2.303 * [backup-simplify]: Simplify (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) 2.307 * [backup-simplify]: Simplify (+ (* (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) (pow N 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 2.308 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 2.308 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 2.308 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.308 * [taylor]: Taking taylor expansion of 1/3 in N 2.308 * [backup-simplify]: Simplify 1/3 into 1/3 2.308 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.308 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.308 * [taylor]: Taking taylor expansion of N in N 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (/ 1 1) into 1 2.308 * [taylor]: Taking taylor expansion of 1.0 in N 2.308 * [backup-simplify]: Simplify 1.0 into 1.0 2.308 * [backup-simplify]: Simplify (+ 1 0) into 1 2.309 * [backup-simplify]: Simplify (log 1) into 0 2.309 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.309 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.309 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.309 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.309 * [taylor]: Taking taylor expansion of 1/3 in N 2.309 * [backup-simplify]: Simplify 1/3 into 1/3 2.309 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.309 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.309 * [taylor]: Taking taylor expansion of N in N 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (/ 1 1) into 1 2.310 * [taylor]: Taking taylor expansion of 1.0 in N 2.310 * [backup-simplify]: Simplify 1.0 into 1.0 2.310 * [backup-simplify]: Simplify (+ 1 0) into 1 2.310 * [backup-simplify]: Simplify (log 1) into 0 2.310 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.310 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.311 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.311 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.315 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.316 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 2.317 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 2.317 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [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 2.325 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.325 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 2.328 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 2.329 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 2.329 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) 2.329 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 2.329 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 2.329 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.329 * [taylor]: Taking taylor expansion of 1/3 in N 2.329 * [backup-simplify]: Simplify 1/3 into 1/3 2.329 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.329 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.329 * [taylor]: Taking taylor expansion of 1.0 in N 2.329 * [backup-simplify]: Simplify 1.0 into 1.0 2.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.329 * [taylor]: Taking taylor expansion of N in N 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (/ 1 1) into 1 2.330 * [backup-simplify]: Simplify (- 1) into -1 2.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.330 * [backup-simplify]: Simplify (log -1) into (log -1) 2.331 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.331 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.332 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.332 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.332 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.332 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.332 * [taylor]: Taking taylor expansion of 1/3 in N 2.332 * [backup-simplify]: Simplify 1/3 into 1/3 2.332 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.332 * [taylor]: Taking taylor expansion of 1.0 in N 2.332 * [backup-simplify]: Simplify 1.0 into 1.0 2.332 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.332 * [taylor]: Taking taylor expansion of N in N 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ 1 1) into 1 2.332 * [backup-simplify]: Simplify (- 1) into -1 2.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.333 * [backup-simplify]: Simplify (log -1) into (log -1) 2.333 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.334 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.334 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.334 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (- 0) into 0 2.335 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.341 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.341 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 2.343 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 2.344 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (- 0) into 0 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.351 * [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 2.351 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.352 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 2.356 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 2.357 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 2.358 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 2.358 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 2.358 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 2.358 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 2.358 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.358 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.358 * [taylor]: Taking taylor expansion of 1/3 in N 2.358 * [backup-simplify]: Simplify 1/3 into 1/3 2.358 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.358 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.358 * [taylor]: Taking taylor expansion of N in N 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [taylor]: Taking taylor expansion of 1.0 in N 2.358 * [backup-simplify]: Simplify 1.0 into 1.0 2.358 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.359 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.359 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 2.360 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 2.360 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.360 * [taylor]: Taking taylor expansion of 1/3 in N 2.360 * [backup-simplify]: Simplify 1/3 into 1/3 2.360 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.360 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.360 * [taylor]: Taking taylor expansion of N in N 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [taylor]: Taking taylor expansion of 1.0 in N 2.360 * [backup-simplify]: Simplify 1.0 into 1.0 2.361 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.361 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.361 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 2.362 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 2.363 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 2.363 * [backup-simplify]: Simplify (+ 1 0) into 1 2.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.367 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 2.370 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 2.371 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.377 * [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)) 2.380 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 2.396 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (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)))) (pow 1.0 1/3)) 2.399 * [backup-simplify]: Simplify (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) 2.403 * [backup-simplify]: Simplify (+ (* (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) (pow N 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 2.403 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 2.403 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 2.404 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.404 * [taylor]: Taking taylor expansion of 1/3 in N 2.404 * [backup-simplify]: Simplify 1/3 into 1/3 2.404 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.404 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.404 * [taylor]: Taking taylor expansion of N in N 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 1 into 1 2.404 * [backup-simplify]: Simplify (/ 1 1) into 1 2.404 * [taylor]: Taking taylor expansion of 1.0 in N 2.404 * [backup-simplify]: Simplify 1.0 into 1.0 2.404 * [backup-simplify]: Simplify (+ 1 0) into 1 2.404 * [backup-simplify]: Simplify (log 1) into 0 2.405 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.405 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.405 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.405 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.405 * [taylor]: Taking taylor expansion of 1/3 in N 2.405 * [backup-simplify]: Simplify 1/3 into 1/3 2.405 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.405 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.405 * [taylor]: Taking taylor expansion of N in N 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [backup-simplify]: Simplify (/ 1 1) into 1 2.405 * [taylor]: Taking taylor expansion of 1.0 in N 2.405 * [backup-simplify]: Simplify 1.0 into 1.0 2.406 * [backup-simplify]: Simplify (+ 1 0) into 1 2.406 * [backup-simplify]: Simplify (log 1) into 0 2.406 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.406 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.406 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.406 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.411 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.411 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.412 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 2.413 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 2.413 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (+ 0 0) into 0 2.427 * [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 2.428 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.429 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 2.436 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 2.436 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 2.437 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) 2.437 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 2.437 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 2.437 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.437 * [taylor]: Taking taylor expansion of 1/3 in N 2.437 * [backup-simplify]: Simplify 1/3 into 1/3 2.437 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.437 * [taylor]: Taking taylor expansion of 1.0 in N 2.437 * [backup-simplify]: Simplify 1.0 into 1.0 2.437 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.437 * [taylor]: Taking taylor expansion of N in N 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.438 * [backup-simplify]: Simplify (/ 1 1) into 1 2.438 * [backup-simplify]: Simplify (- 1) into -1 2.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.439 * [backup-simplify]: Simplify (log -1) into (log -1) 2.440 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.440 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.441 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.441 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.441 * [taylor]: Taking taylor expansion of 1/3 in N 2.441 * [backup-simplify]: Simplify 1/3 into 1/3 2.441 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.441 * [taylor]: Taking taylor expansion of 1.0 in N 2.441 * [backup-simplify]: Simplify 1.0 into 1.0 2.441 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.441 * [taylor]: Taking taylor expansion of N in N 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.441 * [backup-simplify]: Simplify (/ 1 1) into 1 2.441 * [backup-simplify]: Simplify (- 1) into -1 2.442 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.442 * [backup-simplify]: Simplify (log -1) into (log -1) 2.442 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.443 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.443 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.443 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (- 0) into 0 2.444 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.448 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.449 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.450 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 2.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 2.452 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (- 0) into 0 2.453 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [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 2.460 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.461 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 2.465 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 2.465 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 2.466 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 2.466 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 2.466 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 2.466 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 2.466 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.466 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.466 * [taylor]: Taking taylor expansion of 1/3 in N 2.466 * [backup-simplify]: Simplify 1/3 into 1/3 2.466 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.466 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.467 * [taylor]: Taking taylor expansion of N in N 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [taylor]: Taking taylor expansion of 1.0 in N 2.467 * [backup-simplify]: Simplify 1.0 into 1.0 2.467 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.467 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.468 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 2.469 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 2.469 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 2.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 2.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 2.469 * [taylor]: Taking taylor expansion of 1/3 in N 2.469 * [backup-simplify]: Simplify 1/3 into 1/3 2.469 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.469 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.469 * [taylor]: Taking taylor expansion of N in N 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [taylor]: Taking taylor expansion of 1.0 in N 2.469 * [backup-simplify]: Simplify 1.0 into 1.0 2.469 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.469 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.470 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 2.471 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 2.471 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 2.471 * [backup-simplify]: Simplify (+ 1 0) into 1 2.474 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.475 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 2.480 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 2.481 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 2.482 * [backup-simplify]: Simplify (+ 0 0) into 0 2.501 * [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)) 2.508 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 2.524 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (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)))) (pow 1.0 1/3)) 2.529 * [backup-simplify]: Simplify (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) into (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) 2.537 * [backup-simplify]: Simplify (+ (* (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) (pow N 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 2.537 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 2.537 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 2.537 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.537 * [taylor]: Taking taylor expansion of 1/3 in N 2.537 * [backup-simplify]: Simplify 1/3 into 1/3 2.537 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.537 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.537 * [taylor]: Taking taylor expansion of N in N 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.538 * [backup-simplify]: Simplify (/ 1 1) into 1 2.538 * [taylor]: Taking taylor expansion of 1.0 in N 2.538 * [backup-simplify]: Simplify 1.0 into 1.0 2.538 * [backup-simplify]: Simplify (+ 1 0) into 1 2.539 * [backup-simplify]: Simplify (log 1) into 0 2.539 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.539 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.539 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.539 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 2.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 2.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 2.540 * [taylor]: Taking taylor expansion of 1/3 in N 2.540 * [backup-simplify]: Simplify 1/3 into 1/3 2.540 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.540 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.540 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.540 * [taylor]: Taking taylor expansion of N in N 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 1 into 1 2.540 * [backup-simplify]: Simplify (/ 1 1) into 1 2.540 * [taylor]: Taking taylor expansion of 1.0 in N 2.540 * [backup-simplify]: Simplify 1.0 into 1.0 2.541 * [backup-simplify]: Simplify (+ 1 0) into 1 2.541 * [backup-simplify]: Simplify (log 1) into 0 2.542 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.542 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.542 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.542 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.543 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.550 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.551 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 2.554 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 2.554 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 2.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.556 * [backup-simplify]: Simplify (+ 0 0) into 0 2.567 * [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 2.568 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.569 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 2.574 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 2.574 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 2.575 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) 2.575 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 2.575 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 2.575 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.575 * [taylor]: Taking taylor expansion of 1/3 in N 2.575 * [backup-simplify]: Simplify 1/3 into 1/3 2.575 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.575 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.575 * [taylor]: Taking taylor expansion of 1.0 in N 2.575 * [backup-simplify]: Simplify 1.0 into 1.0 2.575 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.575 * [taylor]: Taking taylor expansion of N in N 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 1 into 1 2.576 * [backup-simplify]: Simplify (/ 1 1) into 1 2.576 * [backup-simplify]: Simplify (- 1) into -1 2.577 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.577 * [backup-simplify]: Simplify (log -1) into (log -1) 2.578 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.578 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.579 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.579 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 2.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 2.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 2.579 * [taylor]: Taking taylor expansion of 1/3 in N 2.579 * [backup-simplify]: Simplify 1/3 into 1/3 2.579 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.579 * [taylor]: Taking taylor expansion of 1.0 in N 2.579 * [backup-simplify]: Simplify 1.0 into 1.0 2.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.579 * [taylor]: Taking taylor expansion of N in N 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [backup-simplify]: Simplify (/ 1 1) into 1 2.581 * [backup-simplify]: Simplify (- 1) into -1 2.582 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.582 * [backup-simplify]: Simplify (log -1) into (log -1) 2.583 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.584 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.584 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.585 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.586 * [backup-simplify]: Simplify (- 0) into 0 2.586 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.595 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.595 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 2.599 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 2.600 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 2.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.601 * [backup-simplify]: Simplify (- 0) into 0 2.602 * [backup-simplify]: Simplify (+ 0 0) into 0 2.614 * [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 2.614 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.616 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 2.623 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 2.624 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 2.626 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 2.626 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.627 * [backup-simplify]: Simplify (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) into (pow (pow (+ N 1.0) 2) 1/3) 2.627 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 2.627 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 2.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 2.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 2.627 * [taylor]: Taking taylor expansion of 1/3 in N 2.627 * [backup-simplify]: Simplify 1/3 into 1/3 2.627 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 2.627 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 2.627 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.627 * [taylor]: Taking taylor expansion of N in N 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [taylor]: Taking taylor expansion of 1.0 in N 2.627 * [backup-simplify]: Simplify 1.0 into 1.0 2.628 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.628 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 2.628 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.629 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 2.631 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 2.631 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 2.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 2.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 2.631 * [taylor]: Taking taylor expansion of 1/3 in N 2.631 * [backup-simplify]: Simplify 1/3 into 1/3 2.631 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 2.631 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 2.631 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.631 * [taylor]: Taking taylor expansion of N in N 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify 1 into 1 2.631 * [taylor]: Taking taylor expansion of 1.0 in N 2.631 * [backup-simplify]: Simplify 1.0 into 1.0 2.632 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.632 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 2.633 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.634 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 2.635 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 2.636 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 2.636 * [backup-simplify]: Simplify (+ 1 0) into 1 2.638 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 2.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 2.646 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (log 1.0))) into 0.6666666666666666 2.658 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow 1.0 1/3)) 2.660 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow 1.0 1/3)) into (* 0.6666666666666666 (pow 1.0 1/3)) 2.660 * [backup-simplify]: Simplify (+ 0 0) into 0 2.661 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.677 * [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))))) 2.684 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (log 1.0)))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 2.693 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 2.695 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 2.699 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 2.700 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (+ (/ 1 N) 1.0))) into (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) 2.700 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 2.700 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 2.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 2.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 2.700 * [taylor]: Taking taylor expansion of 1/3 in N 2.700 * [backup-simplify]: Simplify 1/3 into 1/3 2.700 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 2.700 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 2.700 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.700 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.700 * [taylor]: Taking taylor expansion of N in N 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (/ 1 1) into 1 2.700 * [taylor]: Taking taylor expansion of 1.0 in N 2.700 * [backup-simplify]: Simplify 1.0 into 1.0 2.700 * [backup-simplify]: Simplify (+ 1 0) into 1 2.701 * [backup-simplify]: Simplify (* 1 1) into 1 2.701 * [backup-simplify]: Simplify (log 1) into 0 2.701 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.701 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.701 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.701 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 2.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 2.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 2.701 * [taylor]: Taking taylor expansion of 1/3 in N 2.701 * [backup-simplify]: Simplify 1/3 into 1/3 2.701 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 2.701 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 2.701 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.701 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.702 * [taylor]: Taking taylor expansion of N in N 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 1 into 1 2.702 * [backup-simplify]: Simplify (/ 1 1) into 1 2.702 * [taylor]: Taking taylor expansion of 1.0 in N 2.702 * [backup-simplify]: Simplify 1.0 into 1.0 2.702 * [backup-simplify]: Simplify (+ 1 0) into 1 2.702 * [backup-simplify]: Simplify (* 1 1) into 1 2.703 * [backup-simplify]: Simplify (log 1) into 0 2.703 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.703 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.703 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.703 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.705 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 2.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 2.709 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.709 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 2 (log N))))) into 0.6666666666666666 2.711 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 2.711 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.711 * [backup-simplify]: Simplify (+ 0 0) into 0 2.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 2.729 * [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 2.730 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.731 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333) 2.737 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 2.738 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 2.739 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 2.739 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (+ (/ 1 (- N)) 1.0))) into (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) 2.739 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 2.739 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 2.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 2.739 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 2.739 * [taylor]: Taking taylor expansion of 1/3 in N 2.739 * [backup-simplify]: Simplify 1/3 into 1/3 2.739 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 2.739 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 2.739 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.739 * [taylor]: Taking taylor expansion of 1.0 in N 2.739 * [backup-simplify]: Simplify 1.0 into 1.0 2.739 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.739 * [taylor]: Taking taylor expansion of N in N 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (/ 1 1) into 1 2.740 * [backup-simplify]: Simplify (- 1) into -1 2.741 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.741 * [backup-simplify]: Simplify (* -1 -1) into 1 2.741 * [backup-simplify]: Simplify (log 1) into 0 2.742 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.742 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.742 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.742 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 2.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 2.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 2.742 * [taylor]: Taking taylor expansion of 1/3 in N 2.742 * [backup-simplify]: Simplify 1/3 into 1/3 2.742 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 2.742 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 2.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.742 * [taylor]: Taking taylor expansion of 1.0 in N 2.742 * [backup-simplify]: Simplify 1.0 into 1.0 2.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.743 * [taylor]: Taking taylor expansion of N in N 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.743 * [backup-simplify]: Simplify (- 1) into -1 2.744 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.744 * [backup-simplify]: Simplify (* -1 -1) into 1 2.745 * [backup-simplify]: Simplify (log 1) into 0 2.745 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.745 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 2.745 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 2.745 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (- 0) into 0 2.747 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.749 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 2.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 2.757 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.757 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 2 (log N))))) into (- 0.6666666666666666) 2.761 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 2.761 * [backup-simplify]: Simplify (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.762 * [backup-simplify]: Simplify (- 0) into 0 2.763 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 2.776 * [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 2.782 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 2.783 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333) 2.787 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 2.787 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 2.787 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.6666666666666666 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 2.788 * * * [progress]: simplifying candidates 2.789 * [simplify]: Simplifying: (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (+ 1/3 1/3) (+ 1 1) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (+ 1 1) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (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))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 1 1) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 2 1/3) (* 2 1) (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) 1) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 2.790 * [simplify]: Sending expressions to egg_math: (log (cbrt (+ h0 1.0))) (exp (cbrt (+ h0 1.0))) (cbrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (cbrt (cbrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0))) (cbrt 1) (cbrt (+ h0 1.0)) (cbrt 1) (cbrt (+ h0 1.0)) (cbrt (+ (pow h0 3) (pow 1.0 3))) (cbrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (cbrt (- (* h0 h0) (* 1.0 1.0))) (cbrt (- h0 1.0)) (* (cbrt (cbrt (+ h0 1.0))) (cbrt (cbrt (+ h0 1.0)))) (cbrt (cbrt (+ h0 1.0))) (* (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (cbrt (+ h0 1.0))) (sqrt (cbrt (+ h0 1.0))) (sqrt (cbrt (+ h0 1.0))) (log (cbrt (+ h0 1.0))) (exp (cbrt (+ h0 1.0))) (cbrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (cbrt (cbrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0))) (cbrt 1) (cbrt (+ h0 1.0)) (cbrt 1) (cbrt (+ h0 1.0)) (cbrt (+ (pow h0 3) (pow 1.0 3))) (cbrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (cbrt (- (* h0 h0) (* 1.0 1.0))) (cbrt (- h0 1.0)) (* (cbrt (cbrt (+ h0 1.0))) (cbrt (cbrt (+ h0 1.0)))) (cbrt (cbrt (+ h0 1.0))) (* (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (cbrt (+ h0 1.0))) (sqrt (cbrt (+ h0 1.0))) (sqrt (cbrt (+ h0 1.0))) (log (cbrt (+ h0 1.0))) (exp (cbrt (+ h0 1.0))) (cbrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (cbrt (cbrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0))) (cbrt 1) (cbrt (+ h0 1.0)) (cbrt 1) (cbrt (+ h0 1.0)) (cbrt (+ (pow h0 3) (pow 1.0 3))) (cbrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (cbrt (- (* h0 h0) (* 1.0 1.0))) (cbrt (- h0 1.0)) (* (cbrt (cbrt (+ h0 1.0))) (cbrt (cbrt (+ h0 1.0)))) (cbrt (cbrt (+ h0 1.0))) (* (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (cbrt (+ h0 1.0))) (sqrt (cbrt (+ h0 1.0))) (sqrt (cbrt (+ h0 1.0))) (+ (/ 1 3) (/ 1 3)) (+ 1 1) (* (+ h0 1.0) (+ h0 1.0)) (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (+ 1 1) (+ (log (cbrt (+ h0 1.0))) (log (cbrt (+ h0 1.0)))) (log (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (exp (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (* (+ h0 1.0) (+ h0 1.0)) (* (cbrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (cbrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))))) (cbrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 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-1) (log (/ -1 h0))))) (pow h0 2)))) (- (+ (pow 1.0 (/ 1 3)) (+ (* (/ 6004799503160661.0 9007199254740992.0) (* h0 (pow 1.0 (/ 1 3)))) (* (/ 2501999792983609.0 4503599627370496.0) (* (pow h0 2) (pow 1.0 (/ 1 3)))))) (* (/ 6004799503160661.0 9007199254740992.0) (* (pow h0 2) (pow (/ 1 (pow 1.0 5)) (/ 1 3))))) (- (+ (pow (/ 1 h0) (/ -2 3)) (* (/ 6004799503160661.0 9007199254740992.0) (pow (/ 1 h0) (/ 1 3)))) (* (/ 2001599834386887.0 18014398509481984.0) (pow (/ 1 (pow h0 4)) (/ 1 3)))) (- (+ (pow (/ -1 h0) (/ -2 3)) (* (/ 6004799503160661.0 9007199254740992.0) (pow (/ 1 h0) (/ 1 3)))) (* (/ 2001599834386887.0 18014398509481984.0) (pow (/ 1 (pow h0 4)) (/ 1 3)))) 2.879 * * * [progress]: adding candidates to table 3.394 * [progress]: [Phase 3 of 3] Extracting. 3.394 * * [regime]: Finding splitpoints for: (# # # # #) 3.395 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.395 * * * * [regimes]: Trying to branch on N from (# # # # #) 3.414 * * * [regime]: Found split indices: #