6.798 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.029 * [simplify]: Sending expressions to egg_math: (- (atan (+ h0 h1)) (atan h0)) 0.031 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.032 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.033 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.046 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.047 * [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 0.047 * [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) 0.048 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.048 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.048 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.048 * [backup-simplify]: Simplify (- 0) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (- 0) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (- 0) into 0 0.049 * [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 0.051 * [backup-simplify]: Simplify (- 0) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.051 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.051 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.051 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.051 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.052 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.052 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.052 * [backup-simplify]: Simplify (- 0) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- 0) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.053 * [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 0.054 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.055 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.055 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.055 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.055 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.055 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.055 * [backup-simplify]: Simplify (- 0) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (- 0) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [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 (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.058 * * * [progress]: simplifying candidates 0.058 * [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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.059 * [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)) (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0)) 0.061 * * [simplify]: iteration 0 : 72 enodes (cost 123 ) 0.063 * * [simplify]: iteration 1 : 142 enodes (cost 114 ) 0.066 * * [simplify]: iteration 2 : 286 enodes (cost 112 ) 0.070 * * [simplify]: iteration 3 : 678 enodes (cost 111 ) 0.084 * * [simplify]: iteration 4 : 2488 enodes (cost 111 ) 0.132 * * [simplify]: iteration 5 : 5001 enodes (cost 111 ) 0.133 * * * [progress]: adding candidates to table 0.164 * * [progress]: iteration 2 / 4 0.164 * * * [progress]: picking best candidate 0.168 * * * * [pick]: Picked # 0.168 * * * [progress]: localizing error 0.173 * * * [progress]: generating rewritten candidates 0.173 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.174 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.194 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.194 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.194 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.194 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.194 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.194 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.195 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.195 * [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))) 0.195 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.195 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.195 * [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))) 0.195 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.195 * [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))) 0.196 * [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))) 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [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))) 0.196 * [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)))) 0.196 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.196 * [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)))) 0.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.196 * [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)))) 0.197 * [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)))) 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [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))) 0.197 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.197 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 0.197 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.197 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.198 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.199 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.199 * [backup-simplify]: Simplify 1.0 into 1.0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 0.207 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 0.207 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.207 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of 1.0 in N 0.207 * [backup-simplify]: Simplify 1.0 into 1.0 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.210 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 0.210 * [backup-simplify]: Simplify 1.0 into 1.0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [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 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [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 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [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 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 0.218 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 0.218 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.218 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.218 * [taylor]: Taking taylor expansion of -1 in N 0.218 * [backup-simplify]: Simplify -1 into -1 0.218 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.218 * [taylor]: Taking taylor expansion of 1.0 in N 0.218 * [backup-simplify]: Simplify 1.0 into 1.0 0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (- 1) into -1 0.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.219 * [backup-simplify]: Simplify (/ -1 1) into -1 0.219 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.219 * [taylor]: Taking taylor expansion of -1 in N 0.219 * [backup-simplify]: Simplify -1 into -1 0.219 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (- 1) into -1 0.220 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.221 * [backup-simplify]: Simplify (/ -1 1) into -1 0.221 * [backup-simplify]: Simplify (* -1 -1) into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.227 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 0.227 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 0.228 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.240 * [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 0.240 * [backup-simplify]: Simplify (- 0) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 0.242 * * * [progress]: simplifying candidates 0.243 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.243 * [simplify]: Sending expressions to egg_math: (log (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (exp (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (* (cbrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (cbrt (atan2 h0 (+ 1 (* (+ h1 h0) h1))))) (cbrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (* (* (atan2 h0 (+ 1 (* (+ h1 h0) h1))) (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (sqrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (sqrt (atan2 h0 (+ 1 (* (+ h1 h0) h1)))) (* (+ h1 h0) h1) (+ (log (+ h1 h0)) (log h1)) (log (* (+ h1 h0) h1)) (exp (* (+ h1 h0) h1)) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* h1 h1) h1)) (* (cbrt (* (+ h1 h0) h1)) (cbrt (* (+ h1 h0) h1))) (cbrt (* (+ h1 h0) h1)) (* (* (* (+ h1 h0) h1) (* (+ h1 h0) h1)) (* (+ h1 h0) h1)) (sqrt (* (+ h1 h0) h1)) (sqrt (* (+ h1 h0) h1)) (* (sqrt (+ h1 h0)) (sqrt h1)) (* (sqrt (+ h1 h0)) (sqrt h1)) (* (+ h1 h0) (* (cbrt h1) (cbrt h1))) (* (+ h1 h0) (sqrt h1)) (* (+ h1 h0) 1) (* (cbrt (+ h1 h0)) h1) (* (sqrt (+ h1 h0)) h1) (* (+ h1 h0) h1) (* (+ h1 h0) h1) (* (+ (pow h1 3) (pow h0 3)) h1) (* (- (* h1 h1) (* h0 h0)) h1) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (+ (pow h1 2) (* h0 h1)) (+ (pow h1 2) (* h0 h1)) (+ (pow h1 2) (* h0 h1)) 0.246 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.249 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.258 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.295 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.296 * * * [progress]: adding candidates to table 0.347 * * [progress]: iteration 3 / 4 0.347 * * * [progress]: picking best candidate 0.355 * * * * [pick]: Picked # 0.355 * * * [progress]: localizing error 0.364 * * * [progress]: generating rewritten candidates 0.364 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.364 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 0.368 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 0.372 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 0.376 * * * [progress]: generating series expansions 0.377 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.377 * [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))) 0.377 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.377 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.377 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.377 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.377 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.377 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.378 * [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))) 0.378 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.378 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.378 * [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))) 0.378 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.378 * [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))) 0.379 * [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))) 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [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))) 0.379 * [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)))) 0.379 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.379 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.379 * [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)))) 0.379 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.380 * [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)))) 0.380 * [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)))) 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [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))) 0.380 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 0.380 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 0.380 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.380 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.380 * [taylor]: Taking taylor expansion of 1/3 in N 0.380 * [backup-simplify]: Simplify 1/3 into 1/3 0.380 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.380 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of 1.0 in N 0.380 * [backup-simplify]: Simplify 1.0 into 1.0 0.381 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.381 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.382 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 0.383 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 0.383 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.383 * [taylor]: Taking taylor expansion of 1/3 in N 0.383 * [backup-simplify]: Simplify 1/3 into 1/3 0.383 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.383 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.383 * [taylor]: Taking taylor expansion of N in N 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of 1.0 in N 0.383 * [backup-simplify]: Simplify 1.0 into 1.0 0.383 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.383 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.384 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 0.385 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 0.385 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 0.385 * [backup-simplify]: Simplify (+ 1 0) into 1 0.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.389 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 0.392 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 0.393 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [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)) 0.405 * [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)))) 0.413 * [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)) 0.416 * [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)) 0.420 * [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)))) 0.420 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 0.420 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.420 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.420 * [taylor]: Taking taylor expansion of 1/3 in N 0.420 * [backup-simplify]: Simplify 1/3 into 1/3 0.420 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.420 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.420 * [taylor]: Taking taylor expansion of N in N 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of 1.0 in N 0.420 * [backup-simplify]: Simplify 1.0 into 1.0 0.420 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify (log 1) into 0 0.421 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.421 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.421 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.421 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.421 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.421 * [taylor]: Taking taylor expansion of 1/3 in N 0.421 * [backup-simplify]: Simplify 1/3 into 1/3 0.421 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.421 * [taylor]: Taking taylor expansion of N in N 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of 1.0 in N 0.422 * [backup-simplify]: Simplify 1.0 into 1.0 0.422 * [backup-simplify]: Simplify (+ 1 0) into 1 0.422 * [backup-simplify]: Simplify (log 1) into 0 0.422 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.422 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.422 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.422 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.427 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.427 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 0.428 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 0.429 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [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 0.435 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.436 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 0.439 * [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)) 0.439 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 0.439 * [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))) 0.440 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 0.440 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.440 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.440 * [taylor]: Taking taylor expansion of 1/3 in N 0.440 * [backup-simplify]: Simplify 1/3 into 1/3 0.440 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.440 * [taylor]: Taking taylor expansion of 1.0 in N 0.440 * [backup-simplify]: Simplify 1.0 into 1.0 0.440 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.440 * [taylor]: Taking taylor expansion of N in N 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [backup-simplify]: Simplify (- 1) into -1 0.440 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.441 * [backup-simplify]: Simplify (log -1) into (log -1) 0.441 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.442 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 0.442 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.442 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.442 * [taylor]: Taking taylor expansion of 1/3 in N 0.442 * [backup-simplify]: Simplify 1/3 into 1/3 0.442 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.442 * [taylor]: Taking taylor expansion of 1.0 in N 0.442 * [backup-simplify]: Simplify 1.0 into 1.0 0.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.442 * [taylor]: Taking taylor expansion of N in N 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (- 1) into -1 0.443 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.443 * [backup-simplify]: Simplify (log -1) into (log -1) 0.443 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.444 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 0.444 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.444 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.449 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.450 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 0.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 0.452 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.460 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.460 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 0.464 * [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))))) 0.464 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 0.465 * [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)))) 0.466 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 0.466 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 0.466 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.466 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.466 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.466 * [taylor]: Taking taylor expansion of 1/3 in N 0.466 * [backup-simplify]: Simplify 1/3 into 1/3 0.466 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.466 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.466 * [taylor]: Taking taylor expansion of N in N 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [taylor]: Taking taylor expansion of 1.0 in N 0.466 * [backup-simplify]: Simplify 1.0 into 1.0 0.466 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.466 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.467 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 0.468 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 0.468 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.468 * [taylor]: Taking taylor expansion of 1/3 in N 0.468 * [backup-simplify]: Simplify 1/3 into 1/3 0.468 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.468 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of 1.0 in N 0.468 * [backup-simplify]: Simplify 1.0 into 1.0 0.468 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.468 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.469 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 0.470 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 0.470 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 0.470 * [backup-simplify]: Simplify (+ 1 0) into 1 0.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.474 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 0.477 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 0.478 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [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)) 0.492 * [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)))) 0.500 * [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)) 0.502 * [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)) 0.506 * [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)))) 0.506 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 0.506 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.506 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.506 * [taylor]: Taking taylor expansion of 1/3 in N 0.507 * [backup-simplify]: Simplify 1/3 into 1/3 0.507 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.507 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.507 * [taylor]: Taking taylor expansion of N in N 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [taylor]: Taking taylor expansion of 1.0 in N 0.507 * [backup-simplify]: Simplify 1.0 into 1.0 0.507 * [backup-simplify]: Simplify (+ 1 0) into 1 0.507 * [backup-simplify]: Simplify (log 1) into 0 0.508 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.508 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.508 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.508 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.508 * [taylor]: Taking taylor expansion of 1/3 in N 0.508 * [backup-simplify]: Simplify 1/3 into 1/3 0.508 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.508 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [taylor]: Taking taylor expansion of 1.0 in N 0.508 * [backup-simplify]: Simplify 1.0 into 1.0 0.508 * [backup-simplify]: Simplify (+ 1 0) into 1 0.509 * [backup-simplify]: Simplify (log 1) into 0 0.509 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.509 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.509 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.509 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.514 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.514 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 0.515 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 0.515 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [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 0.522 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.523 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 0.526 * [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)) 0.526 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 0.526 * [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))) 0.526 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 0.526 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.526 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.527 * [taylor]: Taking taylor expansion of 1/3 in N 0.527 * [backup-simplify]: Simplify 1/3 into 1/3 0.527 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.527 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.527 * [taylor]: Taking taylor expansion of 1.0 in N 0.527 * [backup-simplify]: Simplify 1.0 into 1.0 0.527 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.527 * [taylor]: Taking taylor expansion of N in N 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [backup-simplify]: Simplify (- 1) into -1 0.527 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.528 * [backup-simplify]: Simplify (log -1) into (log -1) 0.528 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.528 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 0.529 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.529 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.529 * [taylor]: Taking taylor expansion of 1/3 in N 0.529 * [backup-simplify]: Simplify 1/3 into 1/3 0.529 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.529 * [taylor]: Taking taylor expansion of 1.0 in N 0.529 * [backup-simplify]: Simplify 1.0 into 1.0 0.529 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.529 * [taylor]: Taking taylor expansion of N in N 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.529 * [backup-simplify]: Simplify (- 1) into -1 0.530 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.530 * [backup-simplify]: Simplify (log -1) into (log -1) 0.530 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.531 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 0.531 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.531 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.536 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.537 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 0.539 * [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))))) 0.539 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (- 0) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [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 0.546 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.547 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 0.550 * [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))))) 0.551 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 0.552 * [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)))) 0.552 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 0.552 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 0.552 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.552 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) 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 (+ N 1.0)) 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 (log 1.0) into (log 1.0) 0.553 * [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) 0.554 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.554 * [taylor]: Taking taylor expansion of 1/3 in N 0.554 * [backup-simplify]: Simplify 1/3 into 1/3 0.554 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.554 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of 1.0 in N 0.554 * [backup-simplify]: Simplify 1.0 into 1.0 0.555 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.555 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.555 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 0.556 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 0.557 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 0.557 * [backup-simplify]: Simplify (+ 1 0) into 1 0.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.561 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 0.564 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 0.565 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [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)) 0.578 * [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)))) 0.586 * [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)) 0.589 * [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)) 0.593 * [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)))) 0.593 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 0.593 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.593 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.593 * [taylor]: Taking taylor expansion of 1/3 in N 0.593 * [backup-simplify]: Simplify 1/3 into 1/3 0.593 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.593 * [taylor]: Taking taylor expansion of N in N 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (/ 1 1) into 1 0.594 * [taylor]: Taking taylor expansion of 1.0 in N 0.594 * [backup-simplify]: Simplify 1.0 into 1.0 0.594 * [backup-simplify]: Simplify (+ 1 0) into 1 0.594 * [backup-simplify]: Simplify (log 1) into 0 0.594 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.594 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.594 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.594 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.595 * [taylor]: Taking taylor expansion of 1/3 in N 0.595 * [backup-simplify]: Simplify 1/3 into 1/3 0.595 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.595 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.595 * [taylor]: Taking taylor expansion of N in N 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [taylor]: Taking taylor expansion of 1.0 in N 0.595 * [backup-simplify]: Simplify 1.0 into 1.0 0.595 * [backup-simplify]: Simplify (+ 1 0) into 1 0.595 * [backup-simplify]: Simplify (log 1) into 0 0.596 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.596 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 0.596 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 0.596 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.600 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.600 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 0.602 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 0.602 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [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 0.609 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.610 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 0.613 * [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)) 0.613 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 0.613 * [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))) 0.614 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 0.614 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.614 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.614 * [taylor]: Taking taylor expansion of 1/3 in N 0.614 * [backup-simplify]: Simplify 1/3 into 1/3 0.614 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.614 * [backup-simplify]: Simplify 1.0 into 1.0 0.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (/ 1 1) into 1 0.614 * [backup-simplify]: Simplify (- 1) into -1 0.614 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.615 * [backup-simplify]: Simplify (log -1) into (log -1) 0.615 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.615 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 0.616 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.616 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.616 * [taylor]: Taking taylor expansion of 1/3 in N 0.616 * [backup-simplify]: Simplify 1/3 into 1/3 0.616 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.616 * [taylor]: Taking taylor expansion of 1.0 in N 0.616 * [backup-simplify]: Simplify 1.0 into 1.0 0.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (/ 1 1) into 1 0.616 * [backup-simplify]: Simplify (- 1) into -1 0.617 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.617 * [backup-simplify]: Simplify (log -1) into (log -1) 0.617 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.618 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 0.618 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.618 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (- 0) into 0 0.619 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.623 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.624 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 0.626 * [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))))) 0.626 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (- 0) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.633 * [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 0.633 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.634 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 0.637 * [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))))) 0.638 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 0.639 * [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)))) 0.639 * * * [progress]: simplifying candidates 0.640 * [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))))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (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) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 0.640 * [simplify]: Sending expressions to egg_math: (log (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) h1))))) (exp (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) h1))))) (* (cbrt (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) h1))))) (cbrt (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) h1)))))) (cbrt (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) h1))))) (* (* (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) h1)))) (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) h1))))) (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) h1))))) (sqrt (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) h1))))) (sqrt (atan2 h0 (+ 1 (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) h1))))) (log (cbrt (+ h1 h0))) (exp (cbrt (+ h1 h0))) (cbrt (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (cbrt (cbrt (+ h1 h0))) (cbrt (sqrt (+ h1 h0))) (cbrt (sqrt (+ h1 h0))) (cbrt 1) (cbrt (+ h1 h0)) (cbrt 1) (cbrt (+ h1 h0)) (cbrt (+ (pow h1 3) (pow h0 3))) (cbrt (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0)) (* (cbrt (cbrt (+ h1 h0))) (cbrt (cbrt (+ h1 h0)))) (cbrt (cbrt (+ h1 h0))) (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (cbrt (+ h1 h0))) (sqrt (cbrt (+ h1 h0))) (sqrt (cbrt (+ h1 h0))) (log (cbrt (+ h1 h0))) (exp (cbrt (+ h1 h0))) (cbrt (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (cbrt (cbrt (+ h1 h0))) (cbrt (sqrt (+ h1 h0))) (cbrt (sqrt (+ h1 h0))) (cbrt 1) (cbrt (+ h1 h0)) (cbrt 1) (cbrt (+ h1 h0)) (cbrt (+ (pow h1 3) (pow h0 3))) (cbrt (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0)) (* (cbrt (cbrt (+ h1 h0))) (cbrt (cbrt (+ h1 h0)))) (cbrt (cbrt (+ h1 h0))) (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (cbrt (+ h1 h0))) (sqrt (cbrt (+ h1 h0))) (sqrt (cbrt (+ h1 h0))) (log (cbrt (+ h1 h0))) (exp (cbrt (+ h1 h0))) (cbrt (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (cbrt (cbrt (+ h1 h0))) (cbrt (sqrt (+ h1 h0))) (cbrt (sqrt (+ h1 h0))) (cbrt 1) (cbrt (+ h1 h0)) (cbrt 1) (cbrt (+ h1 h0)) (cbrt (+ (pow h1 3) (pow h0 3))) (cbrt (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (cbrt (- h1 h0)) (* (cbrt (cbrt (+ h1 h0))) (cbrt (cbrt (+ h1 h0)))) (cbrt (cbrt (+ h1 h0))) (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (cbrt (+ h1 h0))) (sqrt (cbrt (+ h1 h0))) (sqrt (cbrt (+ h1 h0))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (- (+ (pow h0 1/3) (+ (* h2 (* h1 (pow h0 1/3))) (* h3 (* (pow h1 2) (pow h0 1/3))))) (* 1/6 (* (pow h1 2) (pow (/ 1 (pow h0 5)) 1/3)))) (- (+ (pow (/ 1 h1) -1/3) (* h2 (pow (/ 1 (pow h1 2)) 1/3))) (* h4 (pow (/ 1 (pow h1 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 h1))))) (* h2 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h1))))) h1))) (* h4 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h1))))) (pow h1 2)))) (- (+ (pow h0 1/3) (+ (* h2 (* h1 (pow h0 1/3))) (* h3 (* (pow h1 2) (pow h0 1/3))))) (* 1/6 (* (pow h1 2) (pow (/ 1 (pow h0 5)) 1/3)))) (- (+ (pow (/ 1 h1) -1/3) (* h2 (pow (/ 1 (pow h1 2)) 1/3))) (* h4 (pow (/ 1 (pow h1 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 h1))))) (* h2 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h1))))) h1))) (* h4 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h1))))) (pow h1 2)))) (- (+ (pow h0 1/3) (+ (* h2 (* h1 (pow h0 1/3))) (* h3 (* (pow h1 2) (pow h0 1/3))))) (* 1/6 (* (pow h1 2) (pow (/ 1 (pow h0 5)) 1/3)))) (- (+ (pow (/ 1 h1) -1/3) (* h2 (pow (/ 1 (pow h1 2)) 1/3))) (* h4 (pow (/ 1 (pow h1 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 h1))))) (* h2 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h1))))) h1))) (* h4 (/ (exp (* 1/3 (- (log -1) (log (/ -1 h1))))) (pow h1 2)))) 0.645 * * [simplify]: iteration 0 : 198 enodes (cost 498 ) 0.648 * * [simplify]: iteration 1 : 513 enodes (cost 454 ) 0.658 * * [simplify]: iteration 2 : 1617 enodes (cost 445 ) 0.692 * * [simplify]: iteration 3 : 5002 enodes (cost 430 ) 0.694 * * * [progress]: adding candidates to table 0.887 * * [progress]: iteration 4 / 4 0.887 * * * [progress]: picking best candidate 0.893 * * * * [pick]: Picked # 0.893 * * * [progress]: localizing error 0.901 * * * [progress]: generating rewritten candidates 0.901 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.901 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.925 * * * [progress]: generating series expansions 0.925 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.926 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.926 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.926 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.926 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.926 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.926 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.926 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.927 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow (/ 1 N) 2) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 0.927 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.927 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.927 * [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))) 0.927 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.927 * [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))) 0.927 * [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))) 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [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))) 0.928 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow (/ 1 (- N)) 2) (+ (* 1.0 (/ 1 (- N))) 1))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 0.928 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.928 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.928 * [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)))) 0.928 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.928 * [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)))) 0.928 * [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)))) 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [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))) 0.929 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.929 * [backup-simplify]: Simplify (+ (pow N 2) (+ (* 1.0 N) 1)) into (+ (pow N 2) (+ (* 1.0 N) 1)) 0.929 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 0.929 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.929 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.929 * [taylor]: Taking taylor expansion of N in N 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.929 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.929 * [taylor]: Taking taylor expansion of 1.0 in N 0.929 * [backup-simplify]: Simplify 1.0 into 1.0 0.929 * [taylor]: Taking taylor expansion of N in N 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [taylor]: Taking taylor expansion of 1 in N 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.929 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.929 * [taylor]: Taking taylor expansion of N in N 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.929 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.929 * [taylor]: Taking taylor expansion of 1.0 in N 0.929 * [backup-simplify]: Simplify 1.0 into 1.0 0.929 * [taylor]: Taking taylor expansion of N in N 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [taylor]: Taking taylor expansion of 1 in N 0.929 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.930 * [backup-simplify]: Simplify (+ 0 1) into 1 0.930 * [backup-simplify]: Simplify (+ 0 1) into 1 0.930 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.932 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.932 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.932 * [backup-simplify]: Simplify 1.0 into 1.0 0.932 * [backup-simplify]: Simplify (* 1 1) into 1 0.933 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [backup-simplify]: Simplify (+ 1 0) into 1 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (pow N 2) (+ (* 1.0 N) 1)) 0.934 * [backup-simplify]: Simplify (+ (pow (/ 1 N) 2) (+ (* 1.0 (/ 1 N)) 1)) into (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 0.934 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 0.934 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.934 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.934 * [taylor]: Taking taylor expansion of 1.0 in N 0.934 * [backup-simplify]: Simplify 1.0 into 1.0 0.934 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.934 * [taylor]: Taking taylor expansion of N in N 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (/ 1 1) into 1 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.934 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.934 * [taylor]: Taking taylor expansion of N in N 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (* 1 1) into 1 0.935 * [backup-simplify]: Simplify (/ 1 1) into 1 0.935 * [taylor]: Taking taylor expansion of 1 in N 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.935 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.935 * [taylor]: Taking taylor expansion of 1.0 in N 0.935 * [backup-simplify]: Simplify 1.0 into 1.0 0.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.935 * [taylor]: Taking taylor expansion of N in N 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (/ 1 1) into 1 0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.935 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.935 * [taylor]: Taking taylor expansion of N in N 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (* 1 1) into 1 0.935 * [backup-simplify]: Simplify (/ 1 1) into 1 0.936 * [taylor]: Taking taylor expansion of 1 in N 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (+ 1 0) into 1 0.936 * [backup-simplify]: Simplify (+ 0 1) into 1 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.938 * [backup-simplify]: Simplify 1.0 into 1.0 0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (+ 0 1) into 1 0.940 * [backup-simplify]: Simplify (+ 0 1) into 1 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 0.940 * [backup-simplify]: Simplify (+ (pow (/ 1 (- N)) 2) (+ (* 1.0 (/ 1 (- N))) 1)) into (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 0.940 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 0.940 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.940 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.940 * [taylor]: Taking taylor expansion of N in N 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.941 * [backup-simplify]: Simplify (* 1 1) into 1 0.941 * [backup-simplify]: Simplify (/ 1 1) into 1 0.941 * [taylor]: Taking taylor expansion of 1 in N 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.941 * [taylor]: Taking taylor expansion of 1.0 in N 0.941 * [backup-simplify]: Simplify 1.0 into 1.0 0.941 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.941 * [taylor]: Taking taylor expansion of N in N 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [backup-simplify]: Simplify (/ 1 1) into 1 0.941 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.941 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.941 * [taylor]: Taking taylor expansion of N in N 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (* 1 1) into 1 0.942 * [backup-simplify]: Simplify (/ 1 1) into 1 0.942 * [taylor]: Taking taylor expansion of 1 in N 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.942 * [taylor]: Taking taylor expansion of 1.0 in N 0.942 * [backup-simplify]: Simplify 1.0 into 1.0 0.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [backup-simplify]: Simplify (+ 1 0) into 1 0.947 * [backup-simplify]: Simplify (+ 1 0) into 1 0.947 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.948 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.948 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.949 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.949 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (+ 0 1) into 1 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.952 * [backup-simplify]: Simplify (+ 1 0) into 1 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 0.952 * * * [progress]: simplifying candidates 0.953 * [simplify]: Simplifying: (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (exp (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (* (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) (cbrt (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)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (* (exp (pow N 2)) (* (exp (* 1.0 N)) (exp 1))) (* (exp (pow N 2)) (exp (+ (* 1.0 N) 1))) (log (+ (pow N 2) (+ (* 1.0 N) 1))) (exp (+ (pow N 2) (+ (* 1.0 N) 1))) (* (cbrt (+ (pow N 2) (+ (* 1.0 N) 1))) (cbrt (+ (pow N 2) (+ (* 1.0 N) 1)))) (cbrt (+ (pow N 2) (+ (* 1.0 N) 1))) (* (* (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (+ (* 1.0 N) 1))) (sqrt (+ (pow N 2) (+ (* 1.0 N) 1))) (sqrt (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow (pow N 2) 3) (pow (+ (* 1.0 N) 1) 3)) (+ (* (pow N 2) (pow N 2)) (- (* (+ (* 1.0 N) 1) (+ (* 1.0 N) 1)) (* (pow N 2) (+ (* 1.0 N) 1)))) (- (* (pow N 2) (pow N 2)) (* (+ (* 1.0 N) 1) (+ (* 1.0 N) 1))) (- (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (* 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) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 0.953 * [simplify]: Sending expressions to egg_math: (log (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1)))) (exp (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1)))) (* (cbrt (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1)))) (cbrt (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))))) (cbrt (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1)))) (* (* (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1)))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1)))) (sqrt (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1)))) (sqrt (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1)))) (* (exp (pow h1 2)) (* (exp (* h0 h1)) (exp 1))) (* (exp (pow h1 2)) (exp (+ (* h0 h1) 1))) (log (+ (pow h1 2) (+ (* h0 h1) 1))) (exp (+ (pow h1 2) (+ (* h0 h1) 1))) (* (cbrt (+ (pow h1 2) (+ (* h0 h1) 1))) (cbrt (+ (pow h1 2) (+ (* h0 h1) 1)))) (cbrt (+ (pow h1 2) (+ (* h0 h1) 1))) (* (* (+ (pow h1 2) (+ (* h0 h1) 1)) (+ (pow h1 2) (+ (* h0 h1) 1))) (+ (pow h1 2) (+ (* h0 h1) 1))) (sqrt (+ (pow h1 2) (+ (* h0 h1) 1))) (sqrt (+ (pow h1 2) (+ (* h0 h1) 1))) (+ (pow (pow h1 2) 3) (pow (+ (* h0 h1) 1) 3)) (+ (* (pow h1 2) (pow h1 2)) (- (* (+ (* h0 h1) 1) (+ (* h0 h1) 1)) (* (pow h1 2) (+ (* h0 h1) 1)))) (- (* (pow h1 2) (pow h1 2)) (* (+ (* h0 h1) 1) (+ (* h0 h1) 1))) (- (pow h1 2) (+ (* h0 h1) 1)) (+ (pow h1 2) (+ (* h0 h1) 1)) (+ (pow h1 2) (* h0 h1)) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (atan2 h0 (+ (pow h1 2) (+ (* h0 h1) 1))) (+ (pow h1 2) (+ (* h0 h1) 1)) (+ (pow h1 2) (+ (* h0 h1) 1)) (+ (pow h1 2) (+ (* h0 h1) 1)) 0.957 * * [simplify]: iteration 0 : 114 enodes (cost 181 ) 0.960 * * [simplify]: iteration 1 : 447 enodes (cost 156 ) 0.971 * * [simplify]: iteration 2 : 2686 enodes (cost 155 ) 1.026 * * [simplify]: iteration 3 : 5001 enodes (cost 152 ) 1.027 * * * [progress]: adding candidates to table 1.083 * [progress]: [Phase 3 of 3] Extracting. 1.083 * * [regime]: Finding splitpoints for: (# # # # # #) 1.084 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.084 * * * * [regimes]: Trying to branch on N from (# # # # # #) 1.102 * * * [regime]: Found split indices: #