8.522 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.028 * [simplify]: Sending expressions to egg_math: (- (atan (+ h0 h1)) (atan h0)) 0.030 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.031 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.047 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.047 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.047 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.047 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [backup-simplify]: Simplify (atan N) into (atan N) 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [backup-simplify]: Simplify (atan N) into (atan N) 0.049 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.049 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.049 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.049 * [backup-simplify]: Simplify (- 0) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- 0) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- 0) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- 0) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.052 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.052 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.052 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.052 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.052 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.052 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.052 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.052 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.052 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- 0) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- 0) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.055 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.055 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.056 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.056 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.056 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.056 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.056 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.056 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.056 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.056 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- 0) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.059 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.059 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.060 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.060 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.060 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.060 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.060 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.060 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.060 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.060 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.060 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.061 * * * [progress]: simplifying candidates 0.061 * [simplify]: Simplifying: (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.061 * [simplify]: Sending expressions to egg_math: (- (+ h0 h1) h0) (+ 1 (* (+ h0 h1) h0)) (/ (exp (atan (+ h0 h1))) (exp (atan h0))) (log (- (atan (+ h0 h1)) (atan h0))) (exp (- (atan (+ h0 h1)) (atan h0))) (* (cbrt (- (atan (+ h0 h1)) (atan h0))) (cbrt (- (atan (+ h0 h1)) (atan h0)))) (cbrt (- (atan (+ h0 h1)) (atan h0))) (* (* (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0))) (- (atan (+ h0 h1)) (atan h0))) (sqrt (- (atan (+ h0 h1)) (atan h0))) (sqrt (- (atan (+ h0 h1)) (atan h0))) (- (pow (atan (+ h0 h1)) 3) (pow (atan h0) 3)) (+ (* (atan (+ h0 h1)) (atan (+ h0 h1))) (+ (* (atan h0) (atan h0)) (* (atan (+ h0 h1)) (atan h0)))) (- (atan h0)) (- (* (atan (+ h0 h1)) (atan (+ h0 h1))) (* (atan h0) (atan h0))) (+ (atan (+ h0 h1)) (atan h0)) (+ (sqrt (atan (+ h0 h1))) (sqrt (atan h0))) (- (sqrt (atan (+ h0 h1))) (sqrt (atan h0))) (- (atan (+ h0 h1)) (atan h0)) (- (atan h0)) (log (atan (+ h0 h1))) (exp (atan (+ h0 h1))) (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (* (* (atan (+ h0 h1)) (atan (+ h0 h1))) (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0)) (atan (+ h0 h1)) (atan (+ h0 h1)) (atan (+ h0 h1)) 0.063 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.065 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.068 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.072 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.085 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.133 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.134 * * * [progress]: adding candidates to table 0.182 * * [progress]: iteration 2 / 4 0.182 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.186 * * * [progress]: localizing error 0.192 * * * [progress]: generating rewritten candidates 0.192 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.193 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.212 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.222 * * * [progress]: generating series expansions 0.222 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.222 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.222 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.223 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.223 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.223 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.223 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.223 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.223 * [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))) 0.223 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.223 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.224 * [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))) 0.224 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.224 * [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))) 0.224 * [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))) 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [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))) 0.225 * [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)))) 0.225 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.225 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.225 * [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)))) 0.225 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.225 * [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)))) 0.225 * [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)))) 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [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))) 0.225 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.226 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 0.226 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.226 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of 1.0 in N 0.226 * [backup-simplify]: Simplify 1.0 into 1.0 0.226 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of 1.0 in N 0.226 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.227 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.228 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 0.236 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 0.236 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.236 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [taylor]: Taking taylor expansion of 1.0 in N 0.236 * [backup-simplify]: Simplify 1.0 into 1.0 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (+ 1 0) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of 1.0 in N 0.237 * [backup-simplify]: Simplify 1.0 into 1.0 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (+ 1 0) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.239 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 0.239 * [backup-simplify]: Simplify 1.0 into 1.0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [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 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [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 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [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 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 0.248 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 0.248 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.248 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.248 * [taylor]: Taking taylor expansion of -1 in N 0.248 * [backup-simplify]: Simplify -1 into -1 0.248 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.248 * [taylor]: Taking taylor expansion of 1.0 in N 0.248 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (- 1) into -1 0.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.249 * [backup-simplify]: Simplify (/ -1 1) into -1 0.249 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.249 * [taylor]: Taking taylor expansion of -1 in N 0.249 * [backup-simplify]: Simplify -1 into -1 0.249 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.249 * [taylor]: Taking taylor expansion of 1.0 in N 0.249 * [backup-simplify]: Simplify 1.0 into 1.0 0.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.249 * [taylor]: Taking taylor expansion of N in N 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [taylor]: Taking taylor expansion of N in N 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (- 1) into -1 0.250 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.250 * [backup-simplify]: Simplify (/ -1 1) into -1 0.250 * [backup-simplify]: Simplify (* -1 -1) into 1 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.252 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 0.253 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 0.253 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [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 0.264 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [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 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [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 0.267 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 0.267 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.268 * [backup-simplify]: Simplify (+ 1 (* (+ N 1.0) N)) into (+ (pow N 2) (+ (* 1.0 N) 1)) 0.268 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 0.268 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.268 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.268 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.268 * [taylor]: Taking taylor expansion of 1.0 in N 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of 1 in N 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.268 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.268 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.268 * [taylor]: Taking taylor expansion of 1.0 in N 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of 1 in N 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 1) into 1 0.269 * [backup-simplify]: Simplify (+ 0 1) into 1 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.270 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.270 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.270 * [backup-simplify]: Simplify 1.0 into 1.0 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (+ 1 0) into 1 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (pow N 2) (+ (* 1.0 N) 1)) 0.272 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))) into (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 0.272 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 0.272 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.272 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.272 * [taylor]: Taking taylor expansion of 1.0 in N 0.272 * [backup-simplify]: Simplify 1.0 into 1.0 0.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.272 * [taylor]: Taking taylor expansion of N in N 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.272 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.272 * [taylor]: Taking taylor expansion of N in N 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of 1 in N 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.273 * [taylor]: Taking taylor expansion of 1.0 in N 0.273 * [backup-simplify]: Simplify 1.0 into 1.0 0.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.273 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of 1 in N 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (+ 1 0) into 1 0.274 * [backup-simplify]: Simplify (+ 0 1) into 1 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 1) into 1 0.278 * [backup-simplify]: Simplify (+ 0 1) into 1 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 0.278 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 0.278 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 0.278 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.278 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of 1 in N 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.279 * [taylor]: Taking taylor expansion of 1.0 in N 0.279 * [backup-simplify]: Simplify 1.0 into 1.0 0.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.279 * [taylor]: Taking taylor expansion of N in N 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.279 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.279 * [taylor]: Taking taylor expansion of N in N 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [taylor]: Taking taylor expansion of 1 in N 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.280 * [taylor]: Taking taylor expansion of 1.0 in N 0.280 * [backup-simplify]: Simplify 1.0 into 1.0 0.280 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.280 * [taylor]: Taking taylor expansion of N in N 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.282 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.283 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.283 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 1 0) into 1 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 0.286 * * * [progress]: simplifying candidates 0.287 * [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) (* (exp 1) (exp (* (+ N 1.0) N))) (log (+ 1 (* (+ N 1.0) N))) (exp (+ 1 (* (+ N 1.0) N))) (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))) (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (+ (pow 1 3) (pow (* (+ N 1.0) N) 3)) (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N)))) (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* (+ N 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)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 0.287 * [simplify]: Sending expressions to egg_math: (log (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (exp (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0))))) (cbrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (* (atan2 h1 (+ 1 (* (+ h0 h1) h0))) (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (sqrt (atan2 h1 (+ 1 (* (+ h0 h1) h0)))) (* (+ h0 h1) h0) (+ (log (+ h0 h1)) (log h0)) (log (* (+ h0 h1) h0)) (exp (* (+ h0 h1) h0)) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (* (+ h0 h1) h0)) (cbrt (* (+ h0 h1) h0))) (cbrt (* (+ h0 h1) h0)) (* (* (* (+ h0 h1) h0) (* (+ h0 h1) h0)) (* (+ h0 h1) h0)) (sqrt (* (+ h0 h1) h0)) (sqrt (* (+ h0 h1) h0)) (* (sqrt (+ h0 h1)) (sqrt h0)) (* (sqrt (+ h0 h1)) (sqrt h0)) (* (+ h0 h1) (* (cbrt h0) (cbrt h0))) (* (+ h0 h1) (sqrt h0)) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) h0) (* (sqrt (+ h0 h1)) h0) (* (+ h0 h1) h0) (* (+ h0 h1) h0) (* (+ (pow h0 3) (pow h1 3)) h0) (* (- (* h0 h0) (* h1 h1)) h0) (* (exp 1) (exp (* (+ h0 h1) h0))) (log (+ 1 (* (+ h0 h1) h0))) (exp (+ 1 (* (+ h0 h1) h0))) (* (cbrt (+ 1 (* (+ h0 h1) h0))) (cbrt (+ 1 (* (+ h0 h1) h0)))) (cbrt (+ 1 (* (+ h0 h1) h0))) (* (* (+ 1 (* (+ h0 h1) h0)) (+ 1 (* (+ h0 h1) h0))) (+ 1 (* (+ h0 h1) h0))) (sqrt (+ 1 (* (+ h0 h1) h0))) (sqrt (+ 1 (* (+ h0 h1) h0))) (+ (pow 1 3) (pow (* (+ h0 h1) h0) 3)) (+ (* 1 1) (- (* (* (+ h0 h1) h0) (* (+ h0 h1) h0)) (* 1 (* (+ h0 h1) h0)))) (- (* 1 1) (* (* (+ h0 h1) h0) (* (+ h0 h1) h0))) (- 1 (* (+ h0 h1) h0)) (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))) (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))) (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (+ (* h1 h0) 1)) (+ (pow h0 2) (+ (* h1 h0) 1)) (+ (pow h0 2) (+ (* h1 h0) 1)) 0.290 * * [simplify]: iteration 0 : 177 enodes (cost 222 ) 0.294 * * [simplify]: iteration 1 : 766 enodes (cost 193 ) 0.312 * * [simplify]: iteration 2 : 4572 enodes (cost 193 ) 0.396 * * [simplify]: iteration 3 : 5001 enodes (cost 193 ) 0.397 * * * [progress]: adding candidates to table 0.476 * * [progress]: iteration 3 / 4 0.476 * * * [progress]: picking best candidate 0.486 * * * * [pick]: Picked # 0.486 * * * [progress]: localizing error 0.495 * * * [progress]: generating rewritten candidates 0.495 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.496 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 0.535 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 0.539 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 0.545 * * * [progress]: generating series expansions 0.545 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.546 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.546 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.546 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.546 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.546 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.546 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.546 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.547 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (+ (/ 1 N) 1.0))) (* (cbrt (+ (/ 1 N) 1.0)) (/ 1 N))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 0.547 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.547 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.547 * [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))) 0.547 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.547 * [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))) 0.548 * [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))) 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [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))) 0.548 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (+ (/ 1 (- N)) 1.0))) (* (cbrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 0.548 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.548 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.548 * [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)))) 0.549 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.549 * [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)))) 0.549 * [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)))) 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [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))) 0.549 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 0.549 * [backup-simplify]: Simplify (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) into (pow (pow (+ N 1.0) 2) 1/3) 0.549 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 0.549 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.549 * [taylor]: Taking taylor expansion of 1/3 in N 0.549 * [backup-simplify]: Simplify 1/3 into 1/3 0.550 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.550 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.550 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.550 * [taylor]: Taking taylor expansion of N in N 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of 1.0 in N 0.550 * [backup-simplify]: Simplify 1.0 into 1.0 0.550 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.550 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.551 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.551 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 0.552 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 0.552 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.552 * [taylor]: Taking taylor expansion of 1/3 in N 0.552 * [backup-simplify]: Simplify 1/3 into 1/3 0.552 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.552 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.552 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.552 * [taylor]: Taking taylor expansion of N in N 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of 1.0 in N 0.552 * [backup-simplify]: Simplify 1.0 into 1.0 0.553 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.553 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.553 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.554 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 0.554 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 0.555 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 0.555 * [backup-simplify]: Simplify (+ 1 0) into 1 0.556 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 0.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 0.561 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (log 1.0))) into 0.6666666666666666 0.563 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow 1.0 1/3)) 0.564 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow 1.0 1/3)) into (* 0.6666666666666666 (pow 1.0 1/3)) 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2))))) 0.576 * [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)))) 0.590 * [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))))) 0.592 * [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))))) 0.596 * [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)))) 0.596 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (+ (/ 1 N) 1.0))) into (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) 0.596 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 0.596 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.596 * [taylor]: Taking taylor expansion of 1/3 in N 0.596 * [backup-simplify]: Simplify 1/3 into 1/3 0.596 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.596 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.596 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.596 * [taylor]: Taking taylor expansion of N in N 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of 1.0 in N 0.597 * [backup-simplify]: Simplify 1.0 into 1.0 0.597 * [backup-simplify]: Simplify (+ 1 0) into 1 0.597 * [backup-simplify]: Simplify (* 1 1) into 1 0.598 * [backup-simplify]: Simplify (log 1) into 0 0.598 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.598 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 0.598 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 0.598 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.598 * [taylor]: Taking taylor expansion of 1/3 in N 0.598 * [backup-simplify]: Simplify 1/3 into 1/3 0.598 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.598 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.598 * [taylor]: Taking taylor expansion of N in N 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [taylor]: Taking taylor expansion of 1.0 in N 0.598 * [backup-simplify]: Simplify 1.0 into 1.0 0.599 * [backup-simplify]: Simplify (+ 1 0) into 1 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (log 1) into 0 0.599 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.599 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 0.600 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 0.600 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.601 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 0.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 0.605 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.605 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 2 (log N))))) into 0.6666666666666666 0.606 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 0.606 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 0.615 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 0.616 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.616 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333) 0.619 * [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)) 0.619 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 0.620 * [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))) 0.620 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (+ (/ 1 (- N)) 1.0))) into (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) 0.620 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 0.620 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.620 * [taylor]: Taking taylor expansion of 1/3 in N 0.620 * [backup-simplify]: Simplify 1/3 into 1/3 0.620 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.620 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.620 * [taylor]: Taking taylor expansion of 1.0 in N 0.620 * [backup-simplify]: Simplify 1.0 into 1.0 0.620 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.620 * [taylor]: Taking taylor expansion of N in N 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [backup-simplify]: Simplify (- 1) into -1 0.621 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.621 * [backup-simplify]: Simplify (* -1 -1) into 1 0.621 * [backup-simplify]: Simplify (log 1) into 0 0.622 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.622 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 0.622 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 0.622 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.622 * [taylor]: Taking taylor expansion of 1/3 in N 0.622 * [backup-simplify]: Simplify 1/3 into 1/3 0.622 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.622 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.622 * [taylor]: Taking taylor expansion of 1.0 in N 0.622 * [backup-simplify]: Simplify 1.0 into 1.0 0.622 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.622 * [taylor]: Taking taylor expansion of N in N 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (/ 1 1) into 1 0.623 * [backup-simplify]: Simplify (- 1) into -1 0.623 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.623 * [backup-simplify]: Simplify (* -1 -1) into 1 0.623 * [backup-simplify]: Simplify (log 1) into 0 0.623 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.624 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 0.624 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 0.624 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.625 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 0.629 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 0.629 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.630 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 2 (log N))))) into (- 0.6666666666666666) 0.631 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 0.632 * [backup-simplify]: Simplify (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (- 0) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 0.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 0.642 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 0.643 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333) 0.646 * [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)) 0.646 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 0.647 * [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))) 0.647 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 0.647 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 0.647 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.647 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.647 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.647 * [taylor]: Taking taylor expansion of 1/3 in N 0.647 * [backup-simplify]: Simplify 1/3 into 1/3 0.647 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.647 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.647 * [taylor]: Taking taylor expansion of N in N 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of 1.0 in N 0.647 * [backup-simplify]: Simplify 1.0 into 1.0 0.648 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.648 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.648 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 0.649 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 0.649 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.649 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.649 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.649 * [taylor]: Taking taylor expansion of 1/3 in N 0.649 * [backup-simplify]: Simplify 1/3 into 1/3 0.649 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.649 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.649 * [taylor]: Taking taylor expansion of N in N 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [taylor]: Taking taylor expansion of 1.0 in N 0.649 * [backup-simplify]: Simplify 1.0 into 1.0 0.650 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.650 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.650 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 0.651 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 0.651 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 0.652 * [backup-simplify]: Simplify (+ 1 0) into 1 0.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.655 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 0.658 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 0.659 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 0.659 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.666 * [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)))) 0.681 * [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)) 0.684 * [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)) 0.687 * [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)))) 0.688 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 0.688 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.688 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) 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) 1.0)) in N 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.688 * [backup-simplify]: Simplify 1.0 into 1.0 0.688 * [backup-simplify]: Simplify (+ 1 0) into 1 0.689 * [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) 1.0) 1/3) in N 0.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) 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) 1.0)) in N 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.689 * [backup-simplify]: Simplify 1.0 into 1.0 0.690 * [backup-simplify]: Simplify (+ 1 0) into 1 0.690 * [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) 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.695 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.695 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 0.696 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 0.696 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.703 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.704 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 0.707 * [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)) 0.707 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 0.707 * [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))) 0.707 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 0.707 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.707 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.707 * [taylor]: Taking taylor expansion of 1/3 in N 0.707 * [backup-simplify]: Simplify 1/3 into 1/3 0.707 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.707 * [taylor]: Taking taylor expansion of 1.0 in N 0.707 * [backup-simplify]: Simplify 1.0 into 1.0 0.707 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.707 * [taylor]: Taking taylor expansion of N in N 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ 1 1) into 1 0.708 * [backup-simplify]: Simplify (- 1) into -1 0.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.708 * [backup-simplify]: Simplify (log -1) into (log -1) 0.709 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.709 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 0.709 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.709 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.709 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.709 * [taylor]: Taking taylor expansion of 1/3 in N 0.709 * [backup-simplify]: Simplify 1/3 into 1/3 0.709 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.710 * [taylor]: Taking taylor expansion of 1.0 in N 0.710 * [backup-simplify]: Simplify 1.0 into 1.0 0.710 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.710 * [taylor]: Taking taylor expansion of N in N 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [backup-simplify]: Simplify (- 1) into -1 0.710 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.710 * [backup-simplify]: Simplify (log -1) into (log -1) 0.711 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.711 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 0.711 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.712 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.717 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.717 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 0.719 * [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))))) 0.719 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.726 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.727 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 0.731 * [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))))) 0.731 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 0.732 * [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)))) 0.732 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 0.732 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 0.732 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.732 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.732 * [taylor]: Taking taylor expansion of 1/3 in N 0.732 * [backup-simplify]: Simplify 1/3 into 1/3 0.732 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.732 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.732 * [taylor]: Taking taylor expansion of N in N 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [taylor]: Taking taylor expansion of 1.0 in N 0.732 * [backup-simplify]: Simplify 1.0 into 1.0 0.733 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.733 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.733 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 0.734 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 0.734 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.734 * [taylor]: Taking taylor expansion of 1/3 in N 0.734 * [backup-simplify]: Simplify 1/3 into 1/3 0.734 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.734 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.734 * [taylor]: Taking taylor expansion of N in N 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [taylor]: Taking taylor expansion of 1.0 in N 0.734 * [backup-simplify]: Simplify 1.0 into 1.0 0.735 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.735 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.735 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 0.736 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 0.737 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 0.737 * [backup-simplify]: Simplify (+ 1 0) into 1 0.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.741 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 0.744 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 0.744 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.752 * [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)))) 0.767 * [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)) 0.770 * [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)) 0.773 * [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)))) 0.773 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 0.773 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.773 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.773 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.773 * [taylor]: Taking taylor expansion of 1/3 in N 0.773 * [backup-simplify]: Simplify 1/3 into 1/3 0.773 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.773 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.773 * [taylor]: Taking taylor expansion of N in N 0.773 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [taylor]: Taking taylor expansion of 1.0 in N 0.774 * [backup-simplify]: Simplify 1.0 into 1.0 0.774 * [backup-simplify]: Simplify (+ 1 0) into 1 0.774 * [backup-simplify]: Simplify (log 1) into 0 0.774 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.775 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.775 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.775 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.775 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.775 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.775 * [taylor]: Taking taylor expansion of 1/3 in N 0.775 * [backup-simplify]: Simplify 1/3 into 1/3 0.775 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.775 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.775 * [taylor]: Taking taylor expansion of N in N 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [taylor]: Taking taylor expansion of 1.0 in N 0.775 * [backup-simplify]: Simplify 1.0 into 1.0 0.775 * [backup-simplify]: Simplify (+ 1 0) into 1 0.775 * [backup-simplify]: Simplify (log 1) into 0 0.776 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.776 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.776 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.776 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.780 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.780 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.780 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 0.782 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 0.782 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.788 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.789 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 0.792 * [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)) 0.792 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 0.792 * [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))) 0.792 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 0.792 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.792 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.793 * [taylor]: Taking taylor expansion of 1/3 in N 0.793 * [backup-simplify]: Simplify 1/3 into 1/3 0.793 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.793 * [taylor]: Taking taylor expansion of 1.0 in N 0.793 * [backup-simplify]: Simplify 1.0 into 1.0 0.793 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.793 * [taylor]: Taking taylor expansion of N in N 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [backup-simplify]: Simplify (- 1) into -1 0.793 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.794 * [backup-simplify]: Simplify (log -1) into (log -1) 0.794 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.794 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 0.795 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.795 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.795 * [taylor]: Taking taylor expansion of 1/3 in N 0.795 * [backup-simplify]: Simplify 1/3 into 1/3 0.795 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.795 * [taylor]: Taking taylor expansion of 1.0 in N 0.795 * [backup-simplify]: Simplify 1.0 into 1.0 0.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.795 * [taylor]: Taking taylor expansion of N in N 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [backup-simplify]: Simplify (- 1) into -1 0.795 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.796 * [backup-simplify]: Simplify (log -1) into (log -1) 0.796 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.796 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 0.797 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.797 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (- 0) into 0 0.798 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.802 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.802 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 0.804 * [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))))) 0.805 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (- 0) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.812 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.812 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 0.816 * [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))))) 0.816 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 0.818 * [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)))) 0.818 * * * [progress]: simplifying candidates 0.819 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (+ 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))) (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))) (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 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))) (- (+ (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)))) 0.820 * [simplify]: Sending expressions to egg_math: (log (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0))))) (exp (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0))))) (* (cbrt (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0))))) (cbrt (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0)))))) (cbrt (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0))))) (* (* (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0)))) (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0))))) (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0))))) (sqrt (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0))))) (sqrt (atan2 h1 (+ 1 (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) h0))))) (+ 1/3 1/3) (+ 1 1) (* (+ h0 h1) (+ h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ 1 1) (+ (log (cbrt (+ h0 h1))) (log (cbrt (+ h0 h1)))) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (exp (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (+ h0 h1) (+ h0 h1)) (* (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (+ (pow h0 3) (pow h1 3))) (cbrt (+ (pow h0 3) (pow h1 3)))) (* (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (cbrt (+ (pow h0 3) (pow h1 3))) (cbrt (- (* h0 h0) (* h1 h1)))) (* (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (- h0 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (+ (pow h0 3) (pow h1 3)))) (* (cbrt (- h0 h1)) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1))))) (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (* (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1)))) (* (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1)))) (* 1 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (* (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1)))) (* (cbrt (sqrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1)))) (* (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (* (sqrt (cbrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (* (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1)))) (* (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1)))) (* 2 1/3) (* 2 1) (* (cbrt (+ h0 h1)) (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* (cbrt (+ h0 h1)) (cbrt (sqrt (+ h0 h1)))) (* (cbrt (+ h0 h1)) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt 1)) (* (cbrt (+ h0 h1)) (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1))))) (* (cbrt (+ h0 h1)) (sqrt (cbrt (+ h0 h1)))) (* (cbrt (+ h0 h1)) 1) (* (cbrt (cbrt (+ h0 h1))) (cbrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (cbrt (+ h0 h1))) (cbrt (+ h0 h1))) (* (sqrt (cbrt (+ h0 h1))) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ (pow h0 3) (pow h1 3)))) (* (cbrt (+ h0 h1)) (cbrt (- (* h0 h0) (* h1 h1)))) (* (cbrt (+ (pow h0 3) (pow h1 3))) (cbrt (+ h0 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (+ h0 h1))) (log (cbrt (+ h0 h1))) (exp (cbrt (+ h0 h1))) (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))) (cbrt 1) (cbrt (+ h0 h1)) (cbrt 1) (cbrt (+ h0 h1)) (cbrt (+ (pow h0 3) (pow h1 3))) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- h0 h1)) (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (cbrt (+ h0 h1))) (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1))) (log (cbrt (+ h0 h1))) (exp (cbrt (+ h0 h1))) (cbrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (cbrt (cbrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))) (cbrt 1) (cbrt (+ h0 h1)) (cbrt 1) (cbrt (+ h0 h1)) (cbrt (+ (pow h0 3) (pow h1 3))) (cbrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- h0 h1)) (* (cbrt (cbrt (+ h0 h1))) (cbrt (cbrt (+ h0 h1)))) (cbrt (cbrt (+ h0 h1))) (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1))) (sqrt (cbrt (+ h0 h1))) (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))) (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))) (atan2 h1 (+ (pow h0 2) (+ (* h1 h0) 1))) (- (+ (pow h1 1/3) (+ (* h2 (* h0 (pow h1 1/3))) (* h3 (* (pow h0 2) (pow h1 1/3))))) (* h2 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3)))) (- (+ (pow (/ 1 h0) -2/3) (* h2 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (pow (/ -1 h0) -2/3) (* h2 (pow (/ 1 h0) 1/3))) (* h4 (pow (/ 1 (pow h0 4)) 1/3))) (- (+ (pow h1 1/3) (+ (* h6 (* h0 (pow h1 1/3))) (* h5 (* (pow h0 2) (pow h1 1/3))))) (* 1/6 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3)))) (- (+ (pow (/ 1 h0) -1/3) (* h6 (pow (/ 1 (pow h0 2)) 1/3))) (* h4 (pow (/ 1 (pow h0 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) (* h6 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) h0))) (* h4 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) (pow h0 2)))) (- (+ (pow h1 1/3) (+ (* h6 (* h0 (pow h1 1/3))) (* h5 (* (pow h0 2) (pow h1 1/3))))) (* 1/6 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3)))) (- (+ (pow (/ 1 h0) -1/3) (* h6 (pow (/ 1 (pow h0 2)) 1/3))) (* h4 (pow (/ 1 (pow h0 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) (* h6 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) h0))) (* h4 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h0))))) (pow h0 2)))) 0.825 * * [simplify]: iteration 0 : 330 enodes (cost 806 ) 0.831 * * [simplify]: iteration 1 : 1079 enodes (cost 745 ) 0.855 * * [simplify]: iteration 2 : 4794 enodes (cost 696 ) 0.971 * * [simplify]: iteration 3 : 5001 enodes (cost 692 ) 0.975 * * * [progress]: adding candidates to table 1.214 * * [progress]: iteration 4 / 4 1.214 * * * [progress]: picking best candidate 1.231 * * * * [pick]: Picked # 1.231 * * * [progress]: localizing error 1.248 * * * [progress]: generating rewritten candidates 1.248 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 1.254 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.255 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.293 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 1.323 * * * [progress]: generating series expansions 1.323 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 1.323 * [backup-simplify]: Simplify (cbrt (- (* N N) (* 1.0 1.0))) into (pow (- (pow N 2) 1.0) 1/3) 1.324 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in (N) around 0 1.324 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 1.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 1.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 1.324 * [taylor]: Taking taylor expansion of 1/3 in N 1.324 * [backup-simplify]: Simplify 1/3 into 1/3 1.324 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 1.324 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 1.324 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.324 * [taylor]: Taking taylor expansion of N in N 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 1 into 1 1.324 * [taylor]: Taking taylor expansion of 1.0 in N 1.324 * [backup-simplify]: Simplify 1.0 into 1.0 1.324 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.325 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 1.325 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0)) 1.326 * [backup-simplify]: Simplify (* 1/3 (log (- 1.0))) into (* 1/3 (log (- 1.0))) 1.327 * [backup-simplify]: Simplify (exp (* 1/3 (log (- 1.0)))) into (pow (- 1.0) 1/3) 1.327 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 1.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 1.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 1.327 * [taylor]: Taking taylor expansion of 1/3 in N 1.327 * [backup-simplify]: Simplify 1/3 into 1/3 1.327 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 1.327 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 1.327 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.327 * [taylor]: Taking taylor expansion of N in N 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [taylor]: Taking taylor expansion of 1.0 in N 1.327 * [backup-simplify]: Simplify 1.0 into 1.0 1.327 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.328 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 1.328 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0)) 1.329 * [backup-simplify]: Simplify (* 1/3 (log (- 1.0))) into (* 1/3 (log (- 1.0))) 1.330 * [backup-simplify]: Simplify (exp (* 1/3 (log (- 1.0)))) into (pow (- 1.0) 1/3) 1.335 * [backup-simplify]: Simplify (pow (- 1.0) 1/3) into (pow (- 1.0) 1/3) 1.335 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (+ 0 0) into 0 1.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0 1.337 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (- 1.0)))) into 0 1.338 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (* 1 1) into 1 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.339 * [backup-simplify]: Simplify (+ 1 0) into 1 1.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (- 1.0) 1)))) 2) into -1.0 1.346 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))) into (- 0.3333333333333333) 1.351 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1.0 1/3)) 1.351 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow -1.0 1/3)) into (* -0.3333333333333333 (pow -1.0 1/3)) 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.355 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (- 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0) 1)))) 6) into 0 1.356 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (log (- 1.0)))))) into 0 1.357 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow (- 1.0) 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow (- 1.0) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0) 1)))) 24) into (/ -1/2 (pow -1.0 2)) 1.378 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow -1.0 2))) (+ (* 0 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))))) into (- (* 1/6 (/ 1 (pow -1.0 2)))) 1.392 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- 1.0)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (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)) 1.394 * [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)) 1.398 * [backup-simplify]: Simplify (+ (* (* (- 0.05555555555555555 (* 1/6 (/ 1 (pow -1.0 2)))) (pow -1.0 1/3)) (pow N 4)) (+ (* (* -0.3333333333333333 (pow -1.0 1/3)) (pow N 2)) (pow (- 1.0) 1/3))) into (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (- 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3))))) 1.399 * [backup-simplify]: Simplify (cbrt (- (* (/ 1 N) (/ 1 N)) (* 1.0 1.0))) into (pow (- (/ 1 (pow N 2)) 1.0) 1/3) 1.399 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 1.399 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.399 * [taylor]: Taking taylor expansion of 1/3 in N 1.399 * [backup-simplify]: Simplify 1/3 into 1/3 1.399 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.399 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.399 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.399 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.399 * [taylor]: Taking taylor expansion of N in N 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 1 into 1 1.399 * [backup-simplify]: Simplify (* 1 1) into 1 1.399 * [backup-simplify]: Simplify (/ 1 1) into 1 1.399 * [taylor]: Taking taylor expansion of 1.0 in N 1.399 * [backup-simplify]: Simplify 1.0 into 1.0 1.400 * [backup-simplify]: Simplify (+ 1 0) into 1 1.400 * [backup-simplify]: Simplify (log 1) into 0 1.400 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.400 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.400 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.400 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.400 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.400 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.400 * [taylor]: Taking taylor expansion of 1/3 in N 1.400 * [backup-simplify]: Simplify 1/3 into 1/3 1.400 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.400 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.400 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.400 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.400 * [taylor]: Taking taylor expansion of N in N 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (* 1 1) into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [taylor]: Taking taylor expansion of 1.0 in N 1.401 * [backup-simplify]: Simplify 1.0 into 1.0 1.401 * [backup-simplify]: Simplify (+ 1 0) into 1 1.401 * [backup-simplify]: Simplify (log 1) into 0 1.402 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.402 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.402 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.402 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 1.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.404 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 1.405 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.406 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 1.419 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1.0)) 1)) (pow 1 1)))) 2) into -1.0 1.419 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.420 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333) 1.422 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 1.422 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 1.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify (- 0) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1.0)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.427 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 1.429 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (- 0) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.446 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1.0)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1.0)) 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 -0.5 1.446 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.447 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 0.16666666666666666) 1.453 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.453 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.454 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 4)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (pow (/ 1 N) -2/3))) into (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) 1.454 * [backup-simplify]: Simplify (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) (* 1.0 1.0))) into (pow (- (/ 1 (pow N 2)) 1.0) 1/3) 1.454 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 1.454 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.454 * [taylor]: Taking taylor expansion of 1/3 in N 1.454 * [backup-simplify]: Simplify 1/3 into 1/3 1.454 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.454 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.454 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.454 * [taylor]: Taking taylor expansion of N in N 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (* 1 1) into 1 1.455 * [backup-simplify]: Simplify (/ 1 1) into 1 1.455 * [taylor]: Taking taylor expansion of 1.0 in N 1.455 * [backup-simplify]: Simplify 1.0 into 1.0 1.455 * [backup-simplify]: Simplify (+ 1 0) into 1 1.455 * [backup-simplify]: Simplify (log 1) into 0 1.456 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.456 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.456 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.456 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.456 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.456 * [taylor]: Taking taylor expansion of 1/3 in N 1.456 * [backup-simplify]: Simplify 1/3 into 1/3 1.456 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.456 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.456 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.456 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.456 * [taylor]: Taking taylor expansion of N in N 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (* 1 1) into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.456 * [taylor]: Taking taylor expansion of 1.0 in N 1.456 * [backup-simplify]: Simplify 1.0 into 1.0 1.457 * [backup-simplify]: Simplify (+ 1 0) into 1 1.457 * [backup-simplify]: Simplify (log 1) into 0 1.457 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.457 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.457 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.457 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 1.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.459 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 1.460 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.460 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.462 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 1.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1.0)) 1)) (pow 1 1)))) 2) into -1.0 1.468 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.469 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333) 1.471 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 1.471 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 1.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (- 0) into 0 1.473 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1.0)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.476 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 1.478 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.479 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1.0)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1.0)) 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 -0.5 1.501 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.502 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 0) (+ (* 0 -1.0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 0.16666666666666666) 1.508 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.509 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.509 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 4)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (pow (/ 1 (- N)) -2/3))) into (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) 1.509 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.510 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))) into (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) 1.510 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in (N) around 0 1.510 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in N 1.510 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) into (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) 1.510 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in N 1.511 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) into (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) 1.511 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) into (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) into (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) 1.512 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (+ (/ 1 N) 1.0))) (* (/ (cbrt (- (* (/ 1 N) (/ 1 N)) (* 1.0 1.0))) (cbrt (- (/ 1 N) 1.0))) (/ 1 N))))) into (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) 1.512 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in (N) around 0 1.512 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in N 1.513 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) into (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) 1.513 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in N 1.513 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) into (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) 1.513 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) into (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow (/ 1 N) 2)) 1.0) (pow (+ (/ 1 (/ 1 N)) 1.0) 2)) (- (/ 1 (/ 1 N)) 1.0)) 1/3) (/ 1 (/ 1 N))) 1)) into (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) 1.515 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (+ (/ 1 (- N)) 1.0))) (* (/ (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) (* 1.0 1.0))) (cbrt (- (/ 1 (- N)) 1.0))) (/ 1 (- N)))))) into (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) 1.515 * [approximate]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in (N) around 0 1.515 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in N 1.516 * [backup-simplify]: Simplify (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) into (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) 1.516 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in N 1.517 * [backup-simplify]: Simplify (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) into (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) 1.518 * [backup-simplify]: Simplify (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) into (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) (/ 1 (- N)))) (pow (/ (* (pow (- 1.0 (/ 1 (/ 1 (- N)))) 2) (- (/ 1 (pow (/ 1 (- N)) 2)) 1.0)) (+ (/ 1 (/ 1 (- N))) 1.0)) 1/3)))) into (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- 1.0 N)) 1/3) (/ N (cbrt -1))) 1)) 1.519 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.519 * [backup-simplify]: Simplify (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) into (pow (pow (+ N 1.0) 2) 1/3) 1.519 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 1.519 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 1.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 1.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 1.519 * [taylor]: Taking taylor expansion of 1/3 in N 1.519 * [backup-simplify]: Simplify 1/3 into 1/3 1.519 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 1.519 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.519 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.519 * [taylor]: Taking taylor expansion of N in N 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [taylor]: Taking taylor expansion of 1.0 in N 1.519 * [backup-simplify]: Simplify 1.0 into 1.0 1.519 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.519 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.520 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.520 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 1.521 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 1.521 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 1.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 1.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 1.521 * [taylor]: Taking taylor expansion of 1/3 in N 1.521 * [backup-simplify]: Simplify 1/3 into 1/3 1.521 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 1.521 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 1.521 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.521 * [taylor]: Taking taylor expansion of N in N 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [taylor]: Taking taylor expansion of 1.0 in N 1.521 * [backup-simplify]: Simplify 1.0 into 1.0 1.522 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.522 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.522 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.522 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 1.523 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 1.524 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 1.524 * [backup-simplify]: Simplify (+ 1 0) into 1 1.525 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 1.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 1.529 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (log 1.0))) into 0.6666666666666666 1.532 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow 1.0 1/3)) 1.533 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow 1.0 1/3)) into (* 0.6666666666666666 (pow 1.0 1/3)) 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 1.540 * [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))))) 1.545 * [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)))) 1.553 * [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))))) 1.555 * [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))))) 1.559 * [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)))) 1.559 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (+ (/ 1 N) 1.0))) into (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) 1.559 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 1.559 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 1.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 1.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 1.559 * [taylor]: Taking taylor expansion of 1/3 in N 1.559 * [backup-simplify]: Simplify 1/3 into 1/3 1.559 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 1.559 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.559 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.559 * [taylor]: Taking taylor expansion of N in N 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [backup-simplify]: Simplify (/ 1 1) into 1 1.559 * [taylor]: Taking taylor expansion of 1.0 in N 1.559 * [backup-simplify]: Simplify 1.0 into 1.0 1.560 * [backup-simplify]: Simplify (+ 1 0) into 1 1.560 * [backup-simplify]: Simplify (* 1 1) into 1 1.560 * [backup-simplify]: Simplify (log 1) into 0 1.560 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.560 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.560 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.560 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 1.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 1.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 1.561 * [taylor]: Taking taylor expansion of 1/3 in N 1.561 * [backup-simplify]: Simplify 1/3 into 1/3 1.561 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 1.561 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 1.561 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.561 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.561 * [taylor]: Taking taylor expansion of N in N 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [backup-simplify]: Simplify (/ 1 1) into 1 1.561 * [taylor]: Taking taylor expansion of 1.0 in N 1.561 * [backup-simplify]: Simplify 1.0 into 1.0 1.561 * [backup-simplify]: Simplify (+ 1 0) into 1 1.561 * [backup-simplify]: Simplify (* 1 1) into 1 1.562 * [backup-simplify]: Simplify (log 1) into 0 1.562 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.562 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.562 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.562 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.563 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 1.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 1.567 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.567 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 2 (log N))))) into 0.6666666666666666 1.569 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 1.569 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 1.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 1.586 * [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 1.586 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.587 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333) 1.589 * [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)) 1.590 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.590 * [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))) 1.590 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (+ (/ 1 (- N)) 1.0))) into (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) 1.590 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 1.590 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 1.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 1.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 1.590 * [taylor]: Taking taylor expansion of 1/3 in N 1.590 * [backup-simplify]: Simplify 1/3 into 1/3 1.590 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 1.591 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.591 * [taylor]: Taking taylor expansion of 1.0 in N 1.591 * [backup-simplify]: Simplify 1.0 into 1.0 1.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.591 * [taylor]: Taking taylor expansion of N in N 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (/ 1 1) into 1 1.591 * [backup-simplify]: Simplify (- 1) into -1 1.591 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.591 * [backup-simplify]: Simplify (* -1 -1) into 1 1.592 * [backup-simplify]: Simplify (log 1) into 0 1.592 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.592 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.592 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.592 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 1.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 1.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 1.592 * [taylor]: Taking taylor expansion of 1/3 in N 1.592 * [backup-simplify]: Simplify 1/3 into 1/3 1.592 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 1.592 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 1.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.592 * [taylor]: Taking taylor expansion of 1.0 in N 1.592 * [backup-simplify]: Simplify 1.0 into 1.0 1.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.592 * [taylor]: Taking taylor expansion of N in N 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.593 * [backup-simplify]: Simplify (- 1) into -1 1.593 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.593 * [backup-simplify]: Simplify (* -1 -1) into 1 1.593 * [backup-simplify]: Simplify (log 1) into 0 1.594 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.594 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.594 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.594 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 1.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (- 0) into 0 1.595 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.596 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 1.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 1.600 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.600 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 2 (log N))))) into (- 0.6666666666666666) 1.602 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 1.602 * [backup-simplify]: Simplify (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3)) 1.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (- 0) into 0 1.603 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 1.612 * [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 1.612 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.613 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 2 (log N)))))) into (- 0.3333333333333333) 1.616 * [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)) 1.616 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 1.617 * [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))) 1.617 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 1.617 * [backup-simplify]: Simplify (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) into (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) 1.617 * [approximate]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in (N) around 0 1.617 * [taylor]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in N 1.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0))))) in N 1.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0)))) in N 1.617 * [taylor]: Taking taylor expansion of 1/3 in N 1.617 * [backup-simplify]: Simplify 1/3 into 1/3 1.617 * [taylor]: Taking taylor expansion of (log (/ (- (pow N 2) 1.0) (- N 1.0))) in N 1.617 * [taylor]: Taking taylor expansion of (/ (- (pow N 2) 1.0) (- N 1.0)) in N 1.617 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 1.617 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.617 * [taylor]: Taking taylor expansion of N in N 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [taylor]: Taking taylor expansion of 1.0 in N 1.617 * [backup-simplify]: Simplify 1.0 into 1.0 1.617 * [taylor]: Taking taylor expansion of (- N 1.0) in N 1.617 * [taylor]: Taking taylor expansion of N in N 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [taylor]: Taking taylor expansion of 1.0 in N 1.617 * [backup-simplify]: Simplify 1.0 into 1.0 1.618 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.618 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 1.618 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.619 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 1.619 * [backup-simplify]: Simplify (/ (- 1.0) (- 1.0)) into 1.0 1.620 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.620 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 1.621 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 1.621 * [taylor]: Taking taylor expansion of (pow (/ (- (pow N 2) 1.0) (- N 1.0)) 1/3) in N 1.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0))))) in N 1.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (pow N 2) 1.0) (- N 1.0)))) in N 1.621 * [taylor]: Taking taylor expansion of 1/3 in N 1.621 * [backup-simplify]: Simplify 1/3 into 1/3 1.621 * [taylor]: Taking taylor expansion of (log (/ (- (pow N 2) 1.0) (- N 1.0))) in N 1.621 * [taylor]: Taking taylor expansion of (/ (- (pow N 2) 1.0) (- N 1.0)) in N 1.621 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 1.621 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.621 * [taylor]: Taking taylor expansion of N in N 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [taylor]: Taking taylor expansion of 1.0 in N 1.621 * [backup-simplify]: Simplify 1.0 into 1.0 1.621 * [taylor]: Taking taylor expansion of (- N 1.0) in N 1.621 * [taylor]: Taking taylor expansion of N in N 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [taylor]: Taking taylor expansion of 1.0 in N 1.621 * [backup-simplify]: Simplify 1.0 into 1.0 1.621 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.622 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 1.622 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.623 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 1.623 * [backup-simplify]: Simplify (/ (- 1.0) (- 1.0)) into 1.0 1.623 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.624 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 1.625 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 1.625 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ 1 0) into 1 1.628 * [backup-simplify]: Simplify (- (/ 0 (- 1.0)) (+ (* 1.0 (/ 1 (- 1.0))))) into 1.0 1.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1.0 1)))) 1) into 1.0 1.632 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 1.635 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 1.636 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 1.636 * [backup-simplify]: Simplify (* 1 1) into 1 1.636 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify (+ 1 0) into 1 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.640 * [backup-simplify]: Simplify (- (/ 1 (- 1.0)) (+ (* 1.0 (/ 0 (- 1.0))) (* 1.0 (/ 1 (- 1.0))))) into 0 1.645 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into -1/2 1.646 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1.0) (* 0 (log 1.0)))) into -1/6 1.650 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -0.1111111111111111 (pow 1.0 1/3)) 1.650 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow 1.0 1/3)) into (* -0.1111111111111111 (pow 1.0 1/3)) 1.652 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (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)))) (* 0.1111111111111111 (* (pow N 2) (pow 1.0 1/3)))) 1.652 * [backup-simplify]: Simplify (/ (cbrt (- (* (/ 1 N) (/ 1 N)) (* 1.0 1.0))) (cbrt (- (/ 1 N) 1.0))) into (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) 1.652 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in (N) around 0 1.652 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in N 1.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))))) in N 1.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)))) in N 1.652 * [taylor]: Taking taylor expansion of 1/3 in N 1.652 * [backup-simplify]: Simplify 1/3 into 1/3 1.652 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))) in N 1.652 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) in N 1.652 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.652 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.652 * [taylor]: Taking taylor expansion of N in N 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (* 1 1) into 1 1.653 * [backup-simplify]: Simplify (/ 1 1) into 1 1.653 * [taylor]: Taking taylor expansion of 1.0 in N 1.653 * [backup-simplify]: Simplify 1.0 into 1.0 1.653 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 1.653 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.653 * [taylor]: Taking taylor expansion of N in N 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (/ 1 1) into 1 1.653 * [taylor]: Taking taylor expansion of 1.0 in N 1.653 * [backup-simplify]: Simplify 1.0 into 1.0 1.653 * [backup-simplify]: Simplify (+ 1 0) into 1 1.654 * [backup-simplify]: Simplify (+ 1 0) into 1 1.654 * [backup-simplify]: Simplify (/ 1 1) into 1 1.654 * [backup-simplify]: Simplify (log 1) into 0 1.654 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.654 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.654 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.655 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) 1/3) in N 1.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))))) in N 1.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)))) in N 1.655 * [taylor]: Taking taylor expansion of 1/3 in N 1.655 * [backup-simplify]: Simplify 1/3 into 1/3 1.655 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0))) in N 1.655 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (- (/ 1 N) 1.0)) in N 1.655 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.655 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.655 * [taylor]: Taking taylor expansion of N in N 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (* 1 1) into 1 1.655 * [backup-simplify]: Simplify (/ 1 1) into 1 1.655 * [taylor]: Taking taylor expansion of 1.0 in N 1.655 * [backup-simplify]: Simplify 1.0 into 1.0 1.655 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 1.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.655 * [taylor]: Taking taylor expansion of N in N 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (/ 1 1) into 1 1.655 * [taylor]: Taking taylor expansion of 1.0 in N 1.656 * [backup-simplify]: Simplify 1.0 into 1.0 1.656 * [backup-simplify]: Simplify (+ 1 0) into 1 1.656 * [backup-simplify]: Simplify (+ 1 0) into 1 1.656 * [backup-simplify]: Simplify (/ 1 1) into 1 1.656 * [backup-simplify]: Simplify (log 1) into 0 1.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.657 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.657 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.657 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.658 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.659 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 1.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- 1.0) 1)))) into 1.0 1.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.671 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.671 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 1.672 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 1.672 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.674 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (- 0) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.678 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ (- 1.0) 1)))) into 0 1.683 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.683 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.684 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 1.687 * [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)) 1.687 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 1.688 * [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))) 1.688 * [backup-simplify]: Simplify (/ (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) (* 1.0 1.0))) (cbrt (- (/ 1 (- N)) 1.0))) into (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) 1.688 * [approximate]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.688 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) in N 1.688 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.688 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.688 * [taylor]: Taking taylor expansion of -1 in N 1.688 * [backup-simplify]: Simplify -1 into -1 1.689 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.689 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.690 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 1.690 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3) in N 1.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))))) in N 1.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)))) in N 1.690 * [taylor]: Taking taylor expansion of 1/3 in N 1.690 * [backup-simplify]: Simplify 1/3 into 1/3 1.690 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))) in N 1.690 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) in N 1.690 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.690 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.690 * [taylor]: Taking taylor expansion of N in N 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (/ 1 1) into 1 1.690 * [taylor]: Taking taylor expansion of 1.0 in N 1.690 * [backup-simplify]: Simplify 1.0 into 1.0 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.690 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.690 * [taylor]: Taking taylor expansion of N in N 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (/ 1 1) into 1 1.691 * [taylor]: Taking taylor expansion of 1.0 in N 1.691 * [backup-simplify]: Simplify 1.0 into 1.0 1.691 * [backup-simplify]: Simplify (+ 1 0) into 1 1.691 * [backup-simplify]: Simplify (+ 1 0) into 1 1.691 * [backup-simplify]: Simplify (/ 1 1) into 1 1.691 * [backup-simplify]: Simplify (log 1) into 0 1.692 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.692 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.692 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.692 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3)) in N 1.692 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.692 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.692 * [taylor]: Taking taylor expansion of -1 in N 1.692 * [backup-simplify]: Simplify -1 into -1 1.692 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.693 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.693 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 1.693 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) 1/3) in N 1.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))))) in N 1.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)))) in N 1.693 * [taylor]: Taking taylor expansion of 1/3 in N 1.693 * [backup-simplify]: Simplify 1/3 into 1/3 1.693 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0))) in N 1.693 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow N 2)) 1.0) (+ (/ 1 N) 1.0)) in N 1.693 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.693 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.693 * [taylor]: Taking taylor expansion of N in N 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (* 1 1) into 1 1.694 * [backup-simplify]: Simplify (/ 1 1) into 1 1.694 * [taylor]: Taking taylor expansion of 1.0 in N 1.694 * [backup-simplify]: Simplify 1.0 into 1.0 1.694 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.694 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.694 * [taylor]: Taking taylor expansion of N in N 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (/ 1 1) into 1 1.694 * [taylor]: Taking taylor expansion of 1.0 in N 1.694 * [backup-simplify]: Simplify 1.0 into 1.0 1.694 * [backup-simplify]: Simplify (+ 1 0) into 1 1.695 * [backup-simplify]: Simplify (+ 1 0) into 1 1.695 * [backup-simplify]: Simplify (/ 1 1) into 1 1.695 * [backup-simplify]: Simplify (log 1) into 0 1.695 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.695 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.695 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.696 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow N -1/3)) into (* (/ 1 (cbrt -1)) (pow (/ 1 N) 1/3)) 1.697 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow (/ 1 N) 1/3)) into (* (/ 1 (cbrt -1)) (pow (/ 1 N) 1/3)) 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 1.0 1)))) into (- 1.0) 1.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.704 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.704 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log N)))) into (- 0.3333333333333333) 1.706 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 N) 1/3)) 1.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 1.707 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3))) into (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow (/ 1 N) 1/3)))) 1.708 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow (/ 1 N) 1/3)))) into (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow (/ 1 N) 1/3)))) 1.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.710 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 1.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 0 1.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.719 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.720 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 1.723 * [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)) 1.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 1.726 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.1111111111111111 (pow (/ 1 N) 1/3))) (+ (* 0 (* -0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3)))) into (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow (/ 1 N) 1/3)))) 1.727 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow (/ 1 N) 1/3)))) into (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow (/ 1 N) 1/3)))) 1.729 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow (/ 1 (/ 1 (- N))) 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow (/ 1 (/ 1 (- N))) 1/3)))) (/ 1 (- N))) (* (/ 1 (cbrt -1)) (pow (/ 1 (/ 1 (- N))) 1/3)))) into (- (+ (* 0.3333333333333333 (* (pow (/ -1 (pow N 2)) 1/3) (/ 1 (cbrt -1)))) (* (pow (* -1 N) 1/3) (/ 1 (cbrt -1)))) (* 0.1111111111111111 (* (pow (/ -1 (pow N 5)) 1/3) (/ 1 (cbrt -1))))) 1.730 * * * [progress]: simplifying candidates 1.733 * [simplify]: Simplifying: (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0)))) (cbrt (+ (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))) (+ 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))) (- (log (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (- N 1.0)))) (log (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (exp (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (/ (- (* N N) (* 1.0 1.0)) (- N 1.0)) (* (cbrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (cbrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))))) (cbrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (sqrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (sqrt (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (- (cbrt (- (* N N) (* 1.0 1.0)))) (- (cbrt (- N 1.0))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) 1) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) 1) (/ (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (cbrt 1) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt 1) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt 1) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt 1) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt 1) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ (cbrt 1) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ (cbrt 1) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt 1) 1) (/ (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 (- N 1.0)) (cbrt (cbrt (- N 1.0)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- N 1.0)) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (+ N 1.0)) (cbrt 1)) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (cbrt (+ N 1.0)) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- N 1.0)) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (cbrt (+ N 1.0)) (cbrt 1)) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (cbrt (+ N 1.0)) (* (cbrt (cbrt (- N 1.0))) (cbrt (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)) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (+ N 1.0)) 1) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt 1)) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) 1) (/ (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt 1)) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- N 1.0)))) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) 1) (/ (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- N 1.0))) (/ 1 (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ 1 (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) (/ 1 (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (sqrt N) (sqrt 1.0)))) (/ 1 (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (cbrt (- N 1.0)))) (/ 1 (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) (/ 1 1) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) (/ 1 (cbrt (- N 1.0))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (sqrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (sqrt N) (sqrt 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt 1)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0))))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (sqrt (cbrt (- N 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) 1) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (sqrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- N 1.0)) (cbrt (- N 1.0))) (/ (cbrt (- N 1.0)) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (sqrt (cbrt (- (* N N) (* 1.0 1.0))))) (/ (cbrt (- N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (pow N 3) (pow 1.0 3)))) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0)))))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (* 1.0 1.0)))) (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (- 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3))))) (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- 1.0 N)) 1/3) (/ N (cbrt -1))) 1)) (- (+ (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))) (- (+ (pow 1.0 1/3) (* 0.3333333333333333 (* N (pow 1.0 1/3)))) (* 0.1111111111111111 (* (pow N 2) (pow 1.0 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))) (- (+ (* 0.3333333333333333 (* (pow (/ -1 (pow N 2)) 1/3) (/ 1 (cbrt -1)))) (* (pow (* -1 N) 1/3) (/ 1 (cbrt -1)))) (* 0.1111111111111111 (* (pow (/ -1 (pow N 5)) 1/3) (/ 1 (cbrt -1))))) 1.734 * [simplify]: Sending expressions to egg_math: (log (cbrt (- (* h1 h1) (* h0 h0)))) (exp (cbrt (- (* h1 h1) (* h0 h0)))) (cbrt (* (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- (* h1 h1) (* h0 h0))))) (cbrt (cbrt (- (* h1 h1) (* h0 h0)))) (cbrt (sqrt (- (* h1 h1) (* h0 h0)))) (cbrt (sqrt (- (* h1 h1) (* h0 h0)))) (cbrt 1) (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (+ h1 h0)) (cbrt (- h1 h0)) (cbrt (- (pow (* 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h1)))))) (cbrt (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (/ (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0))) h1))))) (* (* (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (/ (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0))) h1)))) (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (/ (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0))) h1))))) (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (/ (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0))) h1))))) (sqrt (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (/ (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0))) h1))))) (sqrt (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (/ (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0))) h1))))) (+ 1/3 1/3) (+ 1 1) (* (+ h1 h0) (+ h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ 1 1) (+ (log (cbrt (+ h1 h0))) (log (cbrt (+ h1 h0)))) (log (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (exp (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (+ h1 h0) (+ h1 h0)) (* 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(* (pow h1 2) (pow h2 1/3))))) (- (pow (/ 1 h1) -2/3) (+ (* h3 (pow (/ 1 (pow h1 4)) 1/3)) (* h5 (pow (/ 1 (pow h1 10)) 1/3)))) (- (pow (/ -1 h1) -2/3) (+ (* h3 (pow (/ 1 (pow h1 4)) 1/3)) (* h5 (pow (/ 1 (pow h1 10)) 1/3)))) (atan2 h0 (+ (* (pow (/ (* (- (pow h1 2) h0) (pow (+ h1 h0) 2)) (- h1 h0)) 1/3) h1) 1)) (atan2 h0 (+ (* (pow (/ (* (- (pow h1 2) h0) (pow (+ h1 h0) 2)) (- h1 h0)) 1/3) h1) 1)) (atan2 h0 (+ (* (pow (/ (* (- (pow h1 2) h0) (pow (+ h1 h0) 2)) (- h0 h1)) 1/3) (/ h1 (cbrt -1))) 1)) (- (+ (pow h0 1/3) (+ (* h6 (* h1 (pow h0 1/3))) (* h7 (* (pow h1 2) (pow h0 1/3))))) (* h6 (* (pow h1 2) (pow (/ 1 (pow h0 5)) 1/3)))) (- (+ (pow (/ 1 h1) -2/3) (* h6 (pow (/ 1 h1) 1/3))) (* h5 (pow (/ 1 (pow h1 4)) 1/3))) (- (+ (pow (/ -1 h1) -2/3) (* h6 (pow (/ 1 h1) 1/3))) (* h5 (pow (/ 1 (pow h1 4)) 1/3))) (- (+ (pow h0 1/3) (* h3 (* h1 (pow h0 1/3)))) (* h5 (* (pow h1 2) (pow h0 1/3)))) (- (+ (pow (/ 1 h1) -1/3) (* h3 (pow (/ 1 (pow h1 2)) 1/3))) (* h5 (pow (/ 1 (pow h1 5)) 1/3))) (- (+ (* h3 (* (pow (/ -1 (pow h1 2)) 1/3) (/ 1 (cbrt -1)))) (* (pow (* -1 h1) 1/3) (/ 1 (cbrt -1)))) (* h5 (* (pow (/ -1 (pow h1 5)) 1/3) (/ 1 (cbrt -1))))) 1.742 * * [simplify]: iteration 0 : 655 enodes (cost 2009 ) 1.753 * * [simplify]: iteration 1 : 2435 enodes (cost 1922 ) 1.799 * * [simplify]: iteration 2 : 5002 enodes (cost 1848 ) 1.807 * * * [progress]: adding candidates to table 2.327 * [progress]: [Phase 3 of 3] Extracting. 2.327 * * [regime]: Finding splitpoints for: (# # # # # #) 2.328 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.328 * * * * [regimes]: Trying to branch on N from (# # # # # #) 2.349 * * * [regime]: Found split indices: #