11.137 * [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 using # : (- (atan (+ N 1.0)) (atan N)) 0.029 * [simplify]: Sending expressions to egg_math: (- (atan (+ h0 h1)) (atan h0)) 0.032 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.033 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.034 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.034 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.052 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan N) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan N) in N 0.055 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.058 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.058 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.061 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.061 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.062 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.062 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.062 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.062 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.062 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.062 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.062 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying using # : (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1.0)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1.0)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1.0)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1.0)) (atan N))) (log1p (- (atan (+ N 1.0)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ 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)) (expm1 (atan (+ N 1.0))) (log1p (atan (+ N 1.0))) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.063 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (- (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0)))))) (fma (- (cbrt (atan h0))) (* (cbrt (atan h0)) (cbrt (atan h0))) (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0))))) (fma (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (- (* (sqrt (atan h0)) (sqrt (atan h0))))) (fma (- (sqrt (atan h0))) (sqrt (atan h0)) (* (sqrt (atan h0)) (sqrt (atan h0)))) (fma (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (- (* (atan h0) 1))) (fma (- (atan h0)) 1 (* (atan h0) 1)) (fma (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0)))))) (fma (- (cbrt (atan h0))) (* (cbrt (atan h0)) (cbrt (atan h0))) (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0))))) (fma (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (* (sqrt (atan h0)) (sqrt (atan h0))))) (fma (- (sqrt (atan h0))) (sqrt (atan h0)) (* (sqrt (atan h0)) (sqrt (atan h0)))) (fma (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (* (atan h0) 1))) (fma (- (atan h0)) 1 (* (atan h0) 1)) (fma 1 (atan (+ h0 h1)) (- (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0)))))) (fma (- (cbrt (atan h0))) (* (cbrt (atan h0)) (cbrt (atan h0))) (* (cbrt (atan h0)) (* (cbrt (atan h0)) (cbrt (atan h0))))) (fma 1 (atan (+ h0 h1)) (- (* (sqrt (atan h0)) (sqrt (atan h0))))) (fma (- (sqrt (atan h0))) (sqrt (atan h0)) (* (sqrt (atan h0)) (sqrt (atan h0)))) (fma 1 (atan (+ h0 h1)) (- (* (atan h0) 1))) (fma (- (atan h0)) 1 (* (atan h0) 1)) (expm1 (- (atan (+ h0 h1)) (atan h0))) (log1p (- (atan (+ h0 h1)) (atan h0))) (- (atan h0)) (- (atan h0)) (- (atan h0)) (- (+ 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)) (expm1 (atan (+ h0 h1))) (log1p (atan (+ h0 h1))) (log (atan (+ h0 h1))) (exp (atan (+ h0 h1))) (* (cbrt (atan (+ h0 h1))) (cbrt (atan (+ h0 h1)))) (cbrt (atan (+ h0 h1))) (* (* (atan (+ h0 h1)) (atan (+ h0 h1))) (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (sqrt (atan (+ h0 h1))) (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0)) (- (atan (+ h0 h1)) (atan h0)) (atan (+ h0 h1)) (atan (+ h0 h1)) (atan (+ h0 h1)) 0.067 * * [simplify]: iteration 0 : 129 enodes (cost 365 ) 0.070 * * [simplify]: iteration 1 : 345 enodes (cost 264 ) 0.078 * * [simplify]: iteration 2 : 1480 enodes (cost 254 ) 0.111 * * [simplify]: iteration 3 : 5001 enodes (cost 198 ) 0.112 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (expm1 (- (atan (+ N 1.0)) (atan N))) (log1p (- (atan (+ N 1.0)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1.0 (fma N (+ N 1.0) 1) (exp (- (atan (+ N 1.0)) (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))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (fma (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N)) (* (atan N) (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)) (expm1 (atan (+ N 1.0))) (log1p (atan (+ N 1.0))) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.112 * * * [progress]: adding candidates to table 0.184 * * [progress]: iteration 2 / 4 0.184 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.191 * * * [progress]: generating rewritten candidates 0.191 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.192 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.193 * * * [progress]: generating series expansions 0.193 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.193 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.193 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.193 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.193 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.193 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.194 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.194 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.194 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.194 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.194 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.195 * [approximate]: Taking taylor expansion of (fma N (+ N 1.0) 1) in (N) around 0 0.195 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.195 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.195 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [taylor]: Taking taylor expansion of 1.0 in N 0.195 * [taylor]: Taking taylor expansion of 1 in N 0.195 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.195 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.195 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [taylor]: Taking taylor expansion of 1.0 in N 0.195 * [taylor]: Taking taylor expansion of 1 in N 0.199 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in (N) around 0 0.199 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.199 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.199 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [taylor]: Taking taylor expansion of 1 in N 0.199 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.199 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.199 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [taylor]: Taking taylor expansion of 1.0 in N 0.200 * [taylor]: Taking taylor expansion of 1 in N 0.205 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in (N) around 0 0.205 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.205 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.205 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.205 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.205 * [taylor]: Taking taylor expansion of -1 in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [taylor]: Taking taylor expansion of 1 in N 0.205 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.205 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.205 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.206 * [taylor]: Taking taylor expansion of -1 in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [taylor]: Taking taylor expansion of 1 in N 0.212 * * * [progress]: simplifying candidates 0.212 * [simplify]: Simplifying using # : (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (fma N (+ N 1.0) 1)) (log1p (fma N (+ N 1.0) 1)) (* N (+ N 1.0)) (log (fma N (+ N 1.0) 1)) (exp (fma N (+ N 1.0) 1)) (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)) (* (* (fma N (+ N 1.0) 1) (fma N (+ N 1.0) 1)) (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 0.212 * [simplify]: Sending expressions to egg_math: (expm1 (atan2 h0 (fma h1 (+ h1 h0) 1))) (log1p (atan2 h0 (fma h1 (+ h1 h0) 1))) (log (atan2 h0 (fma h1 (+ h1 h0) 1))) (exp (atan2 h0 (fma h1 (+ h1 h0) 1))) (* (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1)))) (cbrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (* (* (atan2 h0 (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1))) (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (sqrt (atan2 h0 (fma h1 (+ h1 h0) 1))) (expm1 (fma h1 (+ h1 h0) 1)) (log1p (fma h1 (+ h1 h0) 1)) (* h1 (+ h1 h0)) (log (fma h1 (+ h1 h0) 1)) (exp (fma h1 (+ h1 h0) 1)) (* (cbrt (fma h1 (+ h1 h0) 1)) (cbrt (fma h1 (+ h1 h0) 1))) (cbrt (fma h1 (+ h1 h0) 1)) (* (* (fma h1 (+ h1 h0) 1) (fma h1 (+ h1 h0) 1)) (fma h1 (+ h1 h0) 1)) (sqrt (fma h1 (+ h1 h0) 1)) (sqrt (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1)) (atan2 h0 (fma h1 (+ h1 h0) 1)) (+ (pow h1 2) (+ (* h0 h1) 1)) (+ (pow h1 2) (+ (* h0 h1) 1)) (+ (pow h1 2) (+ (* h0 h1) 1)) 0.215 * * [simplify]: iteration 0 : 47 enodes (cost 101 ) 0.217 * * [simplify]: iteration 1 : 104 enodes (cost 89 ) 0.220 * * [simplify]: iteration 2 : 513 enodes (cost 89 ) 0.234 * * [simplify]: iteration 3 : 4531 enodes (cost 89 ) 0.351 * * [simplify]: iteration 4 : 5001 enodes (cost 89 ) 0.352 * [simplify]: Simplified to: (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (fma N (+ N 1.0) 1)) (log1p (fma N (+ N 1.0) 1)) (* N (+ N 1.0)) (log (fma N (+ N 1.0) 1)) (exp (fma N (+ N 1.0) 1)) (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)) (pow (fma N (+ N 1.0) 1) 3) (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (fma N (+ N 1.0) 1) (fma N (+ N 1.0) 1) (fma N (+ N 1.0) 1) 0.352 * * * [progress]: adding candidates to table 0.400 * * [progress]: iteration 3 / 4 0.400 * * * [progress]: picking best candidate 0.405 * * * * [pick]: Picked # 0.405 * * * [progress]: localizing error 0.415 * * * [progress]: generating rewritten candidates 0.415 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.416 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.417 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.418 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.419 * * * [progress]: generating series expansions 0.419 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.419 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.419 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.419 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.419 * [taylor]: Taking taylor expansion of 1/3 in N 0.419 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.419 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.419 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.419 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.419 * [taylor]: Taking taylor expansion of N in N 0.419 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.419 * [taylor]: Taking taylor expansion of N in N 0.419 * [taylor]: Taking taylor expansion of 1.0 in N 0.419 * [taylor]: Taking taylor expansion of 1 in N 0.426 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.426 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.426 * [taylor]: Taking taylor expansion of 1/3 in N 0.426 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.426 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.426 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.426 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.426 * [taylor]: Taking taylor expansion of N in N 0.426 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.426 * [taylor]: Taking taylor expansion of N in N 0.426 * [taylor]: Taking taylor expansion of 1.0 in N 0.426 * [taylor]: Taking taylor expansion of 1 in N 0.449 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 0.449 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.449 * [taylor]: Taking taylor expansion of 1/3 in N 0.449 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.449 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.449 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.449 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.449 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.449 * [taylor]: Taking taylor expansion of N in N 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.450 * [taylor]: Taking taylor expansion of N in N 0.450 * [taylor]: Taking taylor expansion of 1.0 in N 0.450 * [taylor]: Taking taylor expansion of 1 in N 0.451 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.451 * [taylor]: Taking taylor expansion of 1/3 in N 0.451 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.451 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.451 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.451 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.451 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.451 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of 1.0 in N 0.452 * [taylor]: Taking taylor expansion of 1 in N 0.471 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 0.471 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.471 * [taylor]: Taking taylor expansion of 1/3 in N 0.471 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.471 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.472 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.472 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.472 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.472 * [taylor]: Taking taylor expansion of -1 in N 0.472 * [taylor]: Taking taylor expansion of N in N 0.472 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.472 * [taylor]: Taking taylor expansion of 1.0 in N 0.472 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.472 * [taylor]: Taking taylor expansion of N in N 0.472 * [taylor]: Taking taylor expansion of 1 in N 0.474 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.474 * [taylor]: Taking taylor expansion of 1/3 in N 0.474 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.474 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.474 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.474 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.474 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.474 * [taylor]: Taking taylor expansion of -1 in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.474 * [taylor]: Taking taylor expansion of 1.0 in N 0.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.474 * [taylor]: Taking taylor expansion of N in N 0.474 * [taylor]: Taking taylor expansion of 1 in N 0.497 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.497 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.497 * [taylor]: Taking taylor expansion of 1/3 in N 0.497 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.497 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.498 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.498 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [taylor]: Taking taylor expansion of 1 in N 0.504 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.504 * [taylor]: Taking taylor expansion of 1/3 in N 0.504 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.504 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.504 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.504 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.504 * [taylor]: Taking taylor expansion of N in N 0.504 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.504 * [taylor]: Taking taylor expansion of N in N 0.504 * [taylor]: Taking taylor expansion of 1.0 in N 0.504 * [taylor]: Taking taylor expansion of 1 in N 0.530 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 0.530 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.530 * [taylor]: Taking taylor expansion of 1/3 in N 0.530 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.530 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.530 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.530 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.530 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.530 * [taylor]: Taking taylor expansion of N in N 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.531 * [taylor]: Taking taylor expansion of N in N 0.531 * [taylor]: Taking taylor expansion of 1.0 in N 0.531 * [taylor]: Taking taylor expansion of 1 in N 0.532 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.532 * [taylor]: Taking taylor expansion of 1/3 in N 0.532 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.532 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.532 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.532 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.532 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.532 * [taylor]: Taking taylor expansion of N in N 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.533 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.533 * [taylor]: Taking taylor expansion of 1.0 in N 0.533 * [taylor]: Taking taylor expansion of 1 in N 0.553 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 0.553 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.553 * [taylor]: Taking taylor expansion of 1/3 in N 0.553 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.553 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.553 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.553 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.553 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.553 * [taylor]: Taking taylor expansion of -1 in N 0.553 * [taylor]: Taking taylor expansion of N in N 0.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.553 * [taylor]: Taking taylor expansion of 1.0 in N 0.553 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.553 * [taylor]: Taking taylor expansion of N in N 0.554 * [taylor]: Taking taylor expansion of 1 in N 0.555 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.555 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.555 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.555 * [taylor]: Taking taylor expansion of 1/3 in N 0.555 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.555 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.555 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.555 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.555 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.555 * [taylor]: Taking taylor expansion of -1 in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.556 * [taylor]: Taking taylor expansion of 1.0 in N 0.556 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.556 * [taylor]: Taking taylor expansion of N in N 0.556 * [taylor]: Taking taylor expansion of 1 in N 0.578 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.579 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.579 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.579 * [taylor]: Taking taylor expansion of 1/3 in N 0.579 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.579 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.579 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.579 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [taylor]: Taking taylor expansion of 1.0 in N 0.579 * [taylor]: Taking taylor expansion of 1 in N 0.585 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.585 * [taylor]: Taking taylor expansion of 1/3 in N 0.585 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.585 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.586 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.586 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of 1.0 in N 0.586 * [taylor]: Taking taylor expansion of 1 in N 0.605 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 0.605 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.605 * [taylor]: Taking taylor expansion of 1/3 in N 0.605 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.605 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.605 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.605 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [taylor]: Taking taylor expansion of 1.0 in N 0.606 * [taylor]: Taking taylor expansion of 1 in N 0.607 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.607 * [taylor]: Taking taylor expansion of 1/3 in N 0.607 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.607 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.607 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.607 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of 1.0 in N 0.607 * [taylor]: Taking taylor expansion of 1 in N 0.633 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 0.633 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.634 * [taylor]: Taking taylor expansion of 1/3 in N 0.634 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.634 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.634 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.634 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.634 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.634 * [taylor]: Taking taylor expansion of -1 in N 0.634 * [taylor]: Taking taylor expansion of N in N 0.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.634 * [taylor]: Taking taylor expansion of 1.0 in N 0.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.634 * [taylor]: Taking taylor expansion of N in N 0.634 * [taylor]: Taking taylor expansion of 1 in N 0.636 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.636 * [taylor]: Taking taylor expansion of 1/3 in N 0.636 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.636 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.636 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.636 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.636 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.636 * [taylor]: Taking taylor expansion of -1 in N 0.636 * [taylor]: Taking taylor expansion of N in N 0.636 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.636 * [taylor]: Taking taylor expansion of 1.0 in N 0.636 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.636 * [taylor]: Taking taylor expansion of N in N 0.636 * [taylor]: Taking taylor expansion of 1 in N 0.659 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.660 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.660 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.660 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.660 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.660 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.660 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.661 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.661 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.661 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.662 * * * [progress]: simplifying candidates 0.662 * [simplify]: Simplifying using # : (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (log1p (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (log (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (exp (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (* (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (* (* (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)))) (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (sqrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (sqrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.663 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt (fma h0 (+ h0 h1) 1))) (log1p (cbrt (fma h0 (+ h0 h1) 1))) (log (cbrt (fma h0 (+ h0 h1) 1))) (exp (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1)))) (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt 1) (cbrt (fma h0 (+ h0 h1) 1)) (* (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (cbrt (fma h0 (+ h0 h1) 1)))) (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (expm1 (cbrt (fma h0 (+ h0 h1) 1))) (log1p (cbrt (fma h0 (+ h0 h1) 1))) (log (cbrt (fma h0 (+ h0 h1) 1))) (exp (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1)))) (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt 1) (cbrt (fma h0 (+ h0 h1) 1)) (* (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (cbrt (fma h0 (+ h0 h1) 1)))) (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (expm1 (cbrt (fma h0 (+ h0 h1) 1))) (log1p (cbrt (fma h0 (+ h0 h1) 1))) (log (cbrt (fma h0 (+ h0 h1) 1))) (exp (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1)))) (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt 1) (cbrt (fma h0 (+ h0 h1) 1)) (* (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (cbrt (fma h0 (+ h0 h1) 1)))) (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (expm1 (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))))) (log1p (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))))) (log (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))))) (exp (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))))) (* (cbrt (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))))) (cbrt (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1)))))) (cbrt (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))))) (* (* (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1)))) (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))))) (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))))) (sqrt (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))))) (sqrt (atan2 h1 (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))))) (+ (* h2 (pow h0 2)) (+ (* h3 h0) 1)) (+ (* h2 (pow (/ 1 (pow h0 4)) 1/3)) (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3)))) (+ (* h2 (pow (/ 1 (pow h0 4)) 1/3)) (+ (pow (/ -1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3)))) (+ (* h2 (pow h0 2)) (+ (* h3 h0) 1)) (+ (* h2 (pow (/ 1 (pow h0 4)) 1/3)) (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3)))) (+ (* h2 (pow (/ 1 (pow h0 4)) 1/3)) (+ (pow (/ -1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3)))) (+ (* h2 (pow h0 2)) (+ (* h3 h0) 1)) (+ (* h2 (pow (/ 1 (pow h0 4)) 1/3)) (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3)))) (+ (* h2 (pow (/ 1 (pow h0 4)) 1/3)) (+ (pow (/ -1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3)))) (atan2 h1 (fma h0 (+ h0 h1) 1)) (atan2 h1 (fma h0 (+ h0 h1) 1)) (atan2 h1 (fma h0 (+ h0 h1) 1)) 0.667 * * [simplify]: iteration 0 : 102 enodes (cost 450 ) 0.669 * * [simplify]: iteration 1 : 231 enodes (cost 398 ) 0.674 * * [simplify]: iteration 2 : 651 enodes (cost 392 ) 0.690 * * [simplify]: iteration 3 : 2666 enodes (cost 383 ) 0.773 * * [simplify]: iteration 4 : 5001 enodes (cost 377 ) 0.776 * [simplify]: Simplified to: (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) 1 (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (fma N (+ N 1.0) 1) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) 1 (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (fma N (+ N 1.0) 1) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) 1 (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (fma N (+ N 1.0) 1) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (log1p (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (log (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (exp (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (* (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (sqrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (sqrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (fma N (fma N 0.2222222222222222 0.3333333333333333) 1) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ 1 N) -2/3))) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ -1 N) -2/3))) (fma N (fma N 0.2222222222222222 0.3333333333333333) 1) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ 1 N) -2/3))) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ -1 N) -2/3))) (fma N (fma N 0.2222222222222222 0.3333333333333333) 1) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ 1 N) -2/3))) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ -1 N) -2/3))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.776 * * * [progress]: adding candidates to table 0.939 * * [progress]: iteration 4 / 4 0.939 * * * [progress]: picking best candidate 0.945 * * * * [pick]: Picked # 0.945 * * * [progress]: localizing error 0.962 * * * [progress]: generating rewritten candidates 0.962 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.963 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.964 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1) 0.965 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.967 * * * [progress]: generating series expansions 0.968 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.968 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.968 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.968 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.968 * [taylor]: Taking taylor expansion of 1/3 in N 0.968 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.968 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.968 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.968 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.968 * [taylor]: Taking taylor expansion of N in N 0.968 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.968 * [taylor]: Taking taylor expansion of N in N 0.968 * [taylor]: Taking taylor expansion of 1.0 in N 0.968 * [taylor]: Taking taylor expansion of 1 in N 0.976 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.976 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.976 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.976 * [taylor]: Taking taylor expansion of 1/3 in N 0.976 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.976 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.976 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.976 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.976 * [taylor]: Taking taylor expansion of N in N 0.976 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.976 * [taylor]: Taking taylor expansion of N in N 0.976 * [taylor]: Taking taylor expansion of 1.0 in N 0.976 * [taylor]: Taking taylor expansion of 1 in N 0.996 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 0.996 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.996 * [taylor]: Taking taylor expansion of 1/3 in N 0.996 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.996 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.996 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.996 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.996 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.996 * [taylor]: Taking taylor expansion of N in N 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.997 * [taylor]: Taking taylor expansion of N in N 0.997 * [taylor]: Taking taylor expansion of 1.0 in N 0.997 * [taylor]: Taking taylor expansion of 1 in N 0.998 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.998 * [taylor]: Taking taylor expansion of 1/3 in N 0.998 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.998 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.998 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.998 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.998 * [taylor]: Taking taylor expansion of N in N 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.999 * [taylor]: Taking taylor expansion of N in N 0.999 * [taylor]: Taking taylor expansion of 1.0 in N 0.999 * [taylor]: Taking taylor expansion of 1 in N 1.019 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 1.019 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.019 * [taylor]: Taking taylor expansion of 1/3 in N 1.019 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.019 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.019 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.019 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.019 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.019 * [taylor]: Taking taylor expansion of -1 in N 1.019 * [taylor]: Taking taylor expansion of N in N 1.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.020 * [taylor]: Taking taylor expansion of 1.0 in N 1.020 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.020 * [taylor]: Taking taylor expansion of N in N 1.020 * [taylor]: Taking taylor expansion of 1 in N 1.021 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.021 * [taylor]: Taking taylor expansion of 1/3 in N 1.021 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.021 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.021 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.021 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.021 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.021 * [taylor]: Taking taylor expansion of -1 in N 1.021 * [taylor]: Taking taylor expansion of N in N 1.022 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.022 * [taylor]: Taking taylor expansion of 1.0 in N 1.022 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.022 * [taylor]: Taking taylor expansion of N in N 1.022 * [taylor]: Taking taylor expansion of 1 in N 1.052 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.052 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 1.052 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 1.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 1.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 1.052 * [taylor]: Taking taylor expansion of 1/3 in N 1.053 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 1.053 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.053 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.053 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.053 * [taylor]: Taking taylor expansion of N in N 1.053 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.053 * [taylor]: Taking taylor expansion of N in N 1.053 * [taylor]: Taking taylor expansion of 1.0 in N 1.053 * [taylor]: Taking taylor expansion of 1 in N 1.059 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 1.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 1.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 1.059 * [taylor]: Taking taylor expansion of 1/3 in N 1.059 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 1.059 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.059 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.060 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.060 * [taylor]: Taking taylor expansion of N in N 1.060 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.060 * [taylor]: Taking taylor expansion of N in N 1.060 * [taylor]: Taking taylor expansion of 1.0 in N 1.060 * [taylor]: Taking taylor expansion of 1 in N 1.080 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 1.080 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 1.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 1.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 1.080 * [taylor]: Taking taylor expansion of 1/3 in N 1.080 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.080 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.080 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.080 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.080 * [taylor]: Taking taylor expansion of N in N 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.081 * [taylor]: Taking taylor expansion of 1.0 in N 1.081 * [taylor]: Taking taylor expansion of 1 in N 1.082 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 1.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 1.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 1.082 * [taylor]: Taking taylor expansion of 1/3 in N 1.082 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.082 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.082 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.082 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.082 * [taylor]: Taking taylor expansion of N in N 1.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.083 * [taylor]: Taking taylor expansion of N in N 1.083 * [taylor]: Taking taylor expansion of 1.0 in N 1.083 * [taylor]: Taking taylor expansion of 1 in N 1.102 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 1.103 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.103 * [taylor]: Taking taylor expansion of 1/3 in N 1.103 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.103 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.103 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.103 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.103 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.103 * [taylor]: Taking taylor expansion of -1 in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.103 * [taylor]: Taking taylor expansion of 1.0 in N 1.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.103 * [taylor]: Taking taylor expansion of 1 in N 1.105 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.105 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.105 * [taylor]: Taking taylor expansion of 1/3 in N 1.105 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.105 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.105 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.105 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.105 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.105 * [taylor]: Taking taylor expansion of -1 in N 1.105 * [taylor]: Taking taylor expansion of N in N 1.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.105 * [taylor]: Taking taylor expansion of 1.0 in N 1.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.105 * [taylor]: Taking taylor expansion of N in N 1.106 * [taylor]: Taking taylor expansion of 1 in N 1.135 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1) 1.135 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in (N) around 0 1.135 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.135 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.136 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.136 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.136 * [taylor]: Taking taylor expansion of N in N 1.136 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.136 * [taylor]: Taking taylor expansion of N in N 1.136 * [taylor]: Taking taylor expansion of 1.0 in N 1.136 * [taylor]: Taking taylor expansion of 1 in N 1.138 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.138 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.139 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.139 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.139 * [taylor]: Taking taylor expansion of N in N 1.139 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.139 * [taylor]: Taking taylor expansion of N in N 1.139 * [taylor]: Taking taylor expansion of 1.0 in N 1.139 * [taylor]: Taking taylor expansion of 1 in N 1.144 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 1.144 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.144 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.144 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.144 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.144 * [taylor]: Taking taylor expansion of N in N 1.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.145 * [taylor]: Taking taylor expansion of N in N 1.145 * [taylor]: Taking taylor expansion of 1.0 in N 1.145 * [taylor]: Taking taylor expansion of 1 in N 1.148 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.148 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.149 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.149 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.149 * [taylor]: Taking taylor expansion of N in N 1.149 * [taylor]: Taking taylor expansion of 1.0 in N 1.149 * [taylor]: Taking taylor expansion of 1 in N 1.156 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 1.156 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.156 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.156 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.156 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.156 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.156 * [taylor]: Taking taylor expansion of -1 in N 1.156 * [taylor]: Taking taylor expansion of N in N 1.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.157 * [taylor]: Taking taylor expansion of 1.0 in N 1.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.157 * [taylor]: Taking taylor expansion of N in N 1.157 * [taylor]: Taking taylor expansion of 1 in N 1.161 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.161 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.162 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.162 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.162 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.162 * [taylor]: Taking taylor expansion of -1 in N 1.162 * [taylor]: Taking taylor expansion of N in N 1.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.162 * [taylor]: Taking taylor expansion of 1.0 in N 1.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.162 * [taylor]: Taking taylor expansion of N in N 1.162 * [taylor]: Taking taylor expansion of 1 in N 1.170 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 1.170 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in (N) around 0 1.170 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.170 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.171 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.171 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.171 * [taylor]: Taking taylor expansion of N in N 1.171 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.171 * [taylor]: Taking taylor expansion of N in N 1.171 * [taylor]: Taking taylor expansion of 1.0 in N 1.171 * [taylor]: Taking taylor expansion of 1 in N 1.174 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.174 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.174 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.174 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.174 * [taylor]: Taking taylor expansion of N in N 1.174 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.174 * [taylor]: Taking taylor expansion of N in N 1.174 * [taylor]: Taking taylor expansion of 1.0 in N 1.174 * [taylor]: Taking taylor expansion of 1 in N 1.180 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 1.180 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.180 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.180 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.180 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.180 * [taylor]: Taking taylor expansion of N in N 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.180 * [taylor]: Taking taylor expansion of N in N 1.180 * [taylor]: Taking taylor expansion of 1.0 in N 1.180 * [taylor]: Taking taylor expansion of 1 in N 1.184 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.184 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.184 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.184 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.184 * [taylor]: Taking taylor expansion of N in N 1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.184 * [taylor]: Taking taylor expansion of N in N 1.185 * [taylor]: Taking taylor expansion of 1.0 in N 1.185 * [taylor]: Taking taylor expansion of 1 in N 1.192 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 1.192 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.192 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.192 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.192 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.192 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.192 * [taylor]: Taking taylor expansion of -1 in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.193 * [taylor]: Taking taylor expansion of 1.0 in N 1.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.193 * [taylor]: Taking taylor expansion of N in N 1.193 * [taylor]: Taking taylor expansion of 1 in N 1.197 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.197 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.197 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.197 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.197 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.197 * [taylor]: Taking taylor expansion of -1 in N 1.197 * [taylor]: Taking taylor expansion of N in N 1.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.198 * [taylor]: Taking taylor expansion of 1.0 in N 1.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.198 * [taylor]: Taking taylor expansion of N in N 1.198 * [taylor]: Taking taylor expansion of 1 in N 1.206 * * * [progress]: simplifying candidates 1.207 * [simplify]: Simplifying using # : (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (sqrt (fma N (+ N 1.0) 1))) (log1p (sqrt (fma N (+ N 1.0) 1))) (log (sqrt (fma N (+ N 1.0) 1))) (exp (sqrt (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1)))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt 1) (sqrt (fma N (+ N 1.0) 1)) (/ 1 2) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (expm1 (sqrt (fma N (+ N 1.0) 1))) (log1p (sqrt (fma N (+ N 1.0) 1))) (log (sqrt (fma N (+ N 1.0) 1))) (exp (sqrt (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1)))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt 1) (sqrt (fma N (+ N 1.0) 1)) (/ 1 2) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1)) (+ (* 0.375 (/ 1 N)) (+ N 0.5)) (- (+ (* 0.375 (/ 1 N)) (+ N 0.5))) (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1)) (+ (* 0.375 (/ 1 N)) (+ N 0.5)) (- (+ (* 0.375 (/ 1 N)) (+ N 0.5))) 1.207 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt (fma h0 (+ h0 h1) 1))) (log1p (cbrt (fma h0 (+ h0 h1) 1))) (log (cbrt (fma h0 (+ h0 h1) 1))) (exp (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1)))) (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt 1) (cbrt (fma h0 (+ h0 h1) 1)) (* (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (cbrt (fma h0 (+ h0 h1) 1)))) (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (expm1 (cbrt (fma h0 (+ h0 h1) 1))) (log1p (cbrt (fma h0 (+ h0 h1) 1))) (log (cbrt (fma h0 (+ h0 h1) 1))) (exp (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1)))) (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt 1) (cbrt (fma h0 (+ h0 h1) 1)) (* (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (cbrt (fma h0 (+ h0 h1) 1)))) (cbrt (cbrt (fma h0 (+ h0 h1) 1))) (* (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1))) (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (expm1 (sqrt (fma h0 (+ h0 h1) 1))) (log1p (sqrt (fma h0 (+ h0 h1) 1))) (log (sqrt (fma h0 (+ h0 h1) 1))) (exp (sqrt (fma h0 (+ h0 h1) 1))) (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1)))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (* (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1)))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt 1) (sqrt (fma h0 (+ h0 h1) 1)) (/ 1 2) (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (expm1 (sqrt (fma h0 (+ h0 h1) 1))) (log1p (sqrt (fma h0 (+ h0 h1) 1))) (log (sqrt (fma h0 (+ h0 h1) 1))) (exp (sqrt (fma h0 (+ h0 h1) 1))) (* (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (cbrt (sqrt (fma h0 (+ h0 h1) 1)))) (cbrt (sqrt (fma h0 (+ h0 h1) 1))) (* (* (sqrt (fma h0 (+ h0 h1) 1)) (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (* (cbrt (fma h0 (+ h0 h1) 1)) (cbrt (fma h0 (+ h0 h1) 1)))) (sqrt (cbrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt 1) (sqrt (fma h0 (+ h0 h1) 1)) (/ 1 2) (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (sqrt (sqrt (fma h0 (+ h0 h1) 1))) (+ (* h2 (pow h0 2)) (+ (* h3 h0) 1)) (+ (* h2 (pow (/ 1 (pow h0 4)) 1/3)) (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3)))) (+ (* h2 (pow (/ 1 (pow h0 4)) 1/3)) (+ (pow (/ -1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3)))) (+ (* h2 (pow h0 2)) (+ (* h3 h0) 1)) (+ (* h2 (pow (/ 1 (pow h0 4)) 1/3)) (+ (pow (/ 1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3)))) (+ (* h2 (pow (/ 1 (pow h0 4)) 1/3)) (+ (pow (/ -1 h0) -2/3) (* h3 (pow (/ 1 h0) 1/3)))) (+ (* h4 (pow h0 2)) (+ (* h5 h0) 1)) (+ (* h4 (/ 1 h0)) (+ h0 h5)) (- (+ (* h4 (/ 1 h0)) (+ h0 h5))) (+ (* h4 (pow h0 2)) (+ (* h5 h0) 1)) (+ (* h4 (/ 1 h0)) (+ h0 h5)) (- (+ (* h4 (/ 1 h0)) (+ h0 h5))) 1.217 * * [simplify]: iteration 0 : 133 enodes (cost 338 ) 1.219 * * [simplify]: iteration 1 : 324 enodes (cost 314 ) 1.226 * * [simplify]: iteration 2 : 1036 enodes (cost 310 ) 1.253 * * [simplify]: iteration 3 : 5002 enodes (cost 308 ) 1.255 * [simplify]: Simplified to: (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (fma N (+ N 1.0) 1) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (fma N (+ N 1.0) 1) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (sqrt (fma N (+ N 1.0) 1))) (log1p (sqrt (fma N (+ N 1.0) 1))) (log (sqrt (fma N (+ N 1.0) 1))) (exp (sqrt (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1)))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (pow (sqrt (fma N (+ N 1.0) 1)) 3) (fabs (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) 1 (sqrt (fma N (+ N 1.0) 1)) 1/2 (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (expm1 (sqrt (fma N (+ N 1.0) 1))) (log1p (sqrt (fma N (+ N 1.0) 1))) (log (sqrt (fma N (+ N 1.0) 1))) (exp (sqrt (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1)))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (pow (sqrt (fma N (+ N 1.0) 1)) 3) (fabs (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) 1 (sqrt (fma N (+ N 1.0) 1)) 1/2 (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (fma 0.2222222222222222 (pow N 2) (fma 0.3333333333333333 N 1)) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ 1 N) -2/3))) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ -1 N) -2/3))) (fma 0.2222222222222222 (pow N 2) (fma 0.3333333333333333 N 1)) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ 1 N) -2/3))) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ -1 N) -2/3))) (fma 0.375 (pow N 2) (fma 0.5 N 1)) (fma 0.375 (/ 1 N) (+ N 0.5)) (- (/ (- 0.375) N) (+ N 0.5)) (fma 0.375 (pow N 2) (fma 0.5 N 1)) (fma 0.375 (/ 1 N) (+ N 0.5)) (- (/ (- 0.375) N) (+ N 0.5)) 1.256 * * * [progress]: adding candidates to table 1.491 * [progress]: [Phase 3 of 3] Extracting. 1.491 * * [regime]: Finding splitpoints for: (# # # # #) 1.492 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.492 * * * * [regimes]: Trying to branch on N from (# # # # #) 1.509 * * * [regime]: Found split indices: #