15.009 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.010 * [progress]: [Phase 2 of 3] Improving. 0.010 * [simplify]: Simplifying using # : (+ x (/ 1.0 3.0)) 0.012 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.014 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.014 * [simplify]: Simplified to: (+ x (/ 1.0 3.0)) 0.014 * * [progress]: iteration 1 / 4 0.014 * * * [progress]: picking best candidate 0.015 * * * * [pick]: Picked # 0.015 * * * [progress]: localizing error 0.018 * * * [progress]: generating rewritten candidates 0.018 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.024 * * * [progress]: generating series expansions 0.024 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.024 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.024 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.024 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.027 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.027 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.027 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.027 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.033 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.033 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.033 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.033 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.040 * * * [progress]: simplifying candidates 0.041 * [simplify]: Simplifying using # : (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.043 * * [simplify]: iteration 0 : 82 enodes (cost 61 ) 0.046 * * [simplify]: iteration 1 : 218 enodes (cost 55 ) 0.049 * * [simplify]: iteration 2 : 532 enodes (cost 55 ) 0.057 * * [simplify]: iteration 3 : 1514 enodes (cost 55 ) 0.084 * * [simplify]: iteration 4 : 5001 enodes (cost 55 ) 0.085 * [simplify]: Simplified to: (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.085 * * * [progress]: adding candidates to table 0.112 * * [progress]: iteration 2 / 4 0.112 * * * [progress]: picking best candidate 0.116 * * * * [pick]: Picked # 0.116 * * * [progress]: localizing error 0.122 * * * [progress]: generating rewritten candidates 0.122 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.137 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.143 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.149 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.158 * * * [progress]: generating series expansions 0.158 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.159 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.159 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.162 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.171 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.178 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.178 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.179 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.179 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.182 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.188 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.188 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.195 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.195 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.196 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.196 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.198 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.198 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.204 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.211 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.211 * [approximate]: Taking taylor expansion of (sqrt (+ x 0.3333333333333333)) in (x) around 0 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ x 0.3333333333333333)) in x 0.211 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.213 * [taylor]: Taking taylor expansion of (sqrt (+ x 0.3333333333333333)) in x 0.213 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.222 * [approximate]: Taking taylor expansion of (sqrt (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.222 * [taylor]: Taking taylor expansion of (sqrt (+ 0.3333333333333333 (/ 1 x))) in x 0.222 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (sqrt (+ 0.3333333333333333 (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.231 * [approximate]: Taking taylor expansion of (sqrt (- 0.3333333333333333 (/ 1 x))) in (x) around 0 0.231 * [taylor]: Taking taylor expansion of (sqrt (- 0.3333333333333333 (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (sqrt (- 0.3333333333333333 (/ 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.240 * * * [progress]: simplifying candidates 0.245 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (log1p (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ 1 1) (+ (log (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0))))) (log (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (exp (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))))) (cbrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (sqrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (sqrt (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (- x (/ 1.0 3.0))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0)))) (* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* 1 1) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ x (/ 1.0 3.0))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0)))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt 1)) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (sqrt (+ x (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) 1) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (+ x (/ 1.0 3.0)))) (* (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (expm1 (sqrt (+ x (/ 1.0 3.0)))) (log1p (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (exp (sqrt (+ x (/ 1.0 3.0)))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (* (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (sqrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt 1) (sqrt (+ x (/ 1.0 3.0))) (sqrt 1) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (- x (/ 1.0 3.0))) (/ 1 2) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (- (+ (* 1/2 (/ x (sqrt 0.3333333333333333))) (sqrt 0.3333333333333333)) (* 1/8 (/ (pow x 2) (pow (sqrt 0.3333333333333333) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.251 * * [simplify]: iteration 0 : 236 enodes (cost 599 ) 0.256 * * [simplify]: iteration 1 : 925 enodes (cost 537 ) 0.278 * * [simplify]: iteration 2 : 5002 enodes (cost 521 ) 0.282 * [simplify]: Simplified to: (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) 1 1 2 1 1 (pow (sqrt (+ x (/ 1.0 3.0))) 4) (+ x (/ 1.0 3.0)) (pow (sqrt (+ x (/ 1.0 3.0))) 4) 2 (log (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (pow (sqrt (+ x (/ 1.0 3.0))) 4) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (pow x 2)) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (* (sqrt (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) 1 (+ x (/ 1.0 3.0)) 1 (+ x (/ 1.0 3.0)) 1 (+ x (/ 1.0 3.0)) 1 (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) 1 (+ x (/ 1.0 3.0)) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) 1 2 1 (* (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (fabs (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (+ x (/ 1.0 3.0))) (pow (cbrt (sqrt (+ x (/ 1.0 3.0)))) 4) (* (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (+ x (/ 1.0 3.0)) (* (sqrt (+ x (/ 1.0 3.0))) (hypot (pow x 3/2) (pow (/ 1.0 3.0) 3/2))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (sqrt (+ x (/ 1.0 3.0))) (hypot (pow x 3/2) (pow (/ 1.0 3.0) 3/2))) (* (sqrt (+ x (/ 1.0 3.0))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (pow x 2)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (pow x 2)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (expm1 (sqrt (+ x (/ 1.0 3.0)))) (log1p (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (exp (sqrt (+ x (/ 1.0 3.0)))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (cbrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3) (fabs (cbrt (+ x (/ 1.0 3.0)))) (sqrt (cbrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) 1 (sqrt (+ x (/ 1.0 3.0))) 1 (sqrt (+ x (/ 1.0 3.0))) (hypot (pow x 3/2) (pow (/ 1.0 3.0) 3/2)) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (sqrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (- x (/ 1.0 3.0))) 1/2 (sqrt (sqrt (+ x (/ 1.0 3.0)))) (sqrt (sqrt (+ x (/ 1.0 3.0)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (fma 1/2 (/ x (sqrt 0.3333333333333333)) (- (sqrt 0.3333333333333333) (* 1/8 (/ (pow x 2) (pow (sqrt 0.3333333333333333) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ (/ +nan.0 x) x)))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ (/ +nan.0 x) x)))) 0.282 * * * [progress]: adding candidates to table 0.436 * * [progress]: iteration 3 / 4 0.436 * * * [progress]: picking best candidate 0.439 * * * * [pick]: Picked # 0.439 * * * [progress]: localizing error 0.446 * * * [progress]: generating rewritten candidates 0.446 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.452 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.458 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.464 * * * [progress]: generating series expansions 0.464 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.465 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.465 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.465 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.468 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.468 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.484 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.485 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.485 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.487 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.487 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.493 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.493 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.501 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.501 * [approximate]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.501 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.502 * [taylor]: Taking taylor expansion of (log (+ x 0.3333333333333333)) in x 0.502 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.513 * [approximate]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.513 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (log (+ 0.3333333333333333 (/ 1 x))) in x 0.513 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.525 * [approximate]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in (x) around 0 0.525 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (log (- 0.3333333333333333 (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.540 * * * [progress]: simplifying candidates 0.541 * [simplify]: Simplifying using # : (expm1 (exp (log (+ x (/ 1.0 3.0))))) (log1p (exp (log (+ x (/ 1.0 3.0))))) (exp 1) (exp (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0)))))) (exp (sqrt (log (+ x (/ 1.0 3.0))))) (exp 1) (exp (log (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (exp (log (cbrt (+ x (/ 1.0 3.0))))) (exp (log (sqrt (+ x (/ 1.0 3.0))))) (exp (log (sqrt (+ x (/ 1.0 3.0))))) (exp (log 1)) (exp (log (+ x (/ 1.0 3.0)))) (exp (log 1)) (exp (log (+ x (/ 1.0 3.0)))) (exp (log (+ (pow x 3) (pow (/ 1.0 3.0) 3)))) (exp (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (exp (log (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (exp (log (- x (/ 1.0 3.0)))) (log (exp (log (+ x (/ 1.0 3.0))))) (exp (exp (log (+ x (/ 1.0 3.0))))) (* (cbrt (exp (log (+ x (/ 1.0 3.0))))) (cbrt (exp (log (+ x (/ 1.0 3.0)))))) (cbrt (exp (log (+ x (/ 1.0 3.0))))) (* (* (exp (log (+ x (/ 1.0 3.0)))) (exp (log (+ x (/ 1.0 3.0))))) (exp (log (+ x (/ 1.0 3.0))))) (sqrt (exp (log (+ x (/ 1.0 3.0))))) (sqrt (exp (log (+ x (/ 1.0 3.0))))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (expm1 (log (+ x (/ 1.0 3.0)))) (log1p (log (+ x (/ 1.0 3.0)))) (log (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (log (cbrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (log 1) (log (+ x (/ 1.0 3.0))) (log 1) (log (+ x (/ 1.0 3.0))) (log (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (log (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (log (- x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (log (log (+ x (/ 1.0 3.0)))) (exp (log (+ x (/ 1.0 3.0)))) (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0))))) (cbrt (log (+ x (/ 1.0 3.0)))) (* (* (log (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0)))) (log (+ x (/ 1.0 3.0)))) (sqrt (log (+ x (/ 1.0 3.0)))) (sqrt (log (+ x (/ 1.0 3.0)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (- (+ (* 3.0 x) (log 0.3333333333333333)) (* 1/2 (/ (pow x 2) (pow 0.3333333333333333 2)))) (- (* 0.3333333333333333 (/ 1 x)) (+ (* 0.05555555555555555 (/ 1 (pow x 2))) (log (/ 1 x)))) (- (+ (log -1) (* 0.3333333333333333 (/ 1 x))) (+ (* 0.05555555555555555 (/ 1 (pow x 2))) (log (/ -1 x)))) 0.545 * * [simplify]: iteration 0 : 196 enodes (cost 278 ) 0.548 * * [simplify]: iteration 1 : 539 enodes (cost 253 ) 0.556 * * [simplify]: iteration 2 : 1698 enodes (cost 247 ) 0.584 * * [simplify]: iteration 3 : 5001 enodes (cost 236 ) 0.586 * [simplify]: Simplified to: (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) E (exp (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0)))))) (exp (sqrt (log (+ x (/ 1.0 3.0))))) E (pow (cbrt (+ x (/ 1.0 3.0))) 2) (cbrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) 1 (+ x (/ 1.0 3.0)) 1 (+ x (/ 1.0 3.0)) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (pow x 2)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (pow (cbrt (+ x (/ 1.0 3.0))) 2) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (pow (cbrt (+ x (/ 1.0 3.0))) 2) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma (/ 1.0 3.0) (- (/ 1.0 3.0) x) (pow x 2)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (expm1 (log (+ x (/ 1.0 3.0)))) (log1p (log (+ x (/ 1.0 3.0)))) (* 2 (log (cbrt (+ x (/ 1.0 3.0))))) (log (cbrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) (log (sqrt (+ x (/ 1.0 3.0)))) 0 (log (+ x (/ 1.0 3.0))) 0 (log (+ x (/ 1.0 3.0))) (log (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (log (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (log (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (log (- x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (log (log (+ x (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)) (* (cbrt (log (+ x (/ 1.0 3.0)))) (cbrt (log (+ x (/ 1.0 3.0))))) (cbrt (log (+ x (/ 1.0 3.0)))) (pow (log (+ x (/ 1.0 3.0))) 3) (sqrt (log (+ x (/ 1.0 3.0)))) (sqrt (log (+ x (/ 1.0 3.0)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (fma x 3.0 (- (log 0.3333333333333333) (* 1/2 (/ (pow x 2) (pow 0.3333333333333333 2))))) (fma (/ 1 x) (- 0.3333333333333333 (/ 0.05555555555555555 x)) (log x)) (fma (/ 1 x) (- 0.3333333333333333 (/ 0.05555555555555555 x)) (log x)) 0.586 * * * [progress]: adding candidates to table 0.678 * * [progress]: iteration 4 / 4 0.678 * * * [progress]: picking best candidate 0.680 * * * * [pick]: Picked # 0.680 * * * [progress]: localizing error 0.687 * * * [progress]: generating rewritten candidates 0.687 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.693 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.700 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.707 * * * [progress]: generating series expansions 0.707 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.708 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.708 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.708 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.711 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.711 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.711 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.711 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.717 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.717 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.725 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.725 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.725 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.725 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.728 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.728 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.728 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.728 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.734 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.734 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.734 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.734 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.747 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.747 * [approximate]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in (x) around 0 0.747 * [taylor]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in x 0.747 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.748 * [taylor]: Taking taylor expansion of (exp (+ x 0.3333333333333333)) in x 0.748 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.755 * [approximate]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.755 * [taylor]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (exp (+ 0.3333333333333333 (/ 1 x))) in x 0.756 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.756 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.757 * [approximate]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in (x) around 0 0.757 * [taylor]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.757 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (exp (- 0.3333333333333333 (/ 1 x))) in x 0.758 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.759 * * * [progress]: simplifying candidates 0.760 * [simplify]: Simplifying using # : (expm1 (log (exp (+ x (/ 1.0 3.0))))) (log1p (log (exp (+ x (/ 1.0 3.0))))) (log (exp x)) (log (exp (/ 1.0 3.0))) (log (* (cbrt (exp (+ x (/ 1.0 3.0)))) (cbrt (exp (+ x (/ 1.0 3.0)))))) (log (cbrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) (log 1) (log (exp (+ x (/ 1.0 3.0)))) (log (exp (+ x (/ 1.0 3.0)))) (log (exp (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (log (exp (sqrt (+ x (/ 1.0 3.0))))) (log (exp 1)) (log (exp 1)) (log (log (exp (+ x (/ 1.0 3.0))))) (exp (log (exp (+ x (/ 1.0 3.0))))) (* (cbrt (log (exp (+ x (/ 1.0 3.0))))) (cbrt (log (exp (+ x (/ 1.0 3.0)))))) (cbrt (log (exp (+ x (/ 1.0 3.0))))) (* (* (log (exp (+ x (/ 1.0 3.0)))) (log (exp (+ x (/ 1.0 3.0))))) (log (exp (+ x (/ 1.0 3.0))))) (sqrt (log (exp (+ x (/ 1.0 3.0))))) (sqrt (log (exp (+ x (/ 1.0 3.0))))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (* (exp x) (exp (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (* (* (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))) (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (expm1 (exp (+ x (/ 1.0 3.0)))) (log1p (exp (+ x (/ 1.0 3.0)))) (exp (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (exp (sqrt (+ x (/ 1.0 3.0)))) (exp 1) (exp 1) (exp x) (exp (/ 1.0 3.0)) (log (exp (+ x (/ 1.0 3.0)))) (exp (exp (+ x (/ 1.0 3.0)))) (* (cbrt (exp (+ x (/ 1.0 3.0)))) (cbrt (exp (+ x (/ 1.0 3.0))))) (cbrt (exp (+ x (/ 1.0 3.0)))) (* (* (exp (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0)))) (exp (+ x (/ 1.0 3.0)))) (sqrt (exp (+ x (/ 1.0 3.0)))) (sqrt (exp (+ x (/ 1.0 3.0)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ (exp 0.3333333333333333) (+ (* (exp 0.3333333333333333) x) (* 1/2 (* (exp 0.3333333333333333) (pow x 2))))) (exp (+ x 0.3333333333333333)) (exp (+ x 0.3333333333333333)) 0.764 * * [simplify]: iteration 0 : 146 enodes (cost 213 ) 0.767 * * [simplify]: iteration 1 : 469 enodes (cost 191 ) 0.773 * * [simplify]: iteration 2 : 1206 enodes (cost 189 ) 0.792 * * [simplify]: iteration 3 : 3543 enodes (cost 188 ) 0.856 * * [simplify]: iteration 4 : 5001 enodes (cost 188 ) 0.857 * [simplify]: Simplified to: (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) x (/ 1.0 3.0) (* 2 (log (cbrt (exp (+ x (/ 1.0 3.0)))))) (log (cbrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) (log (sqrt (exp (+ x (/ 1.0 3.0))))) 0 (+ x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (sqrt (+ x (/ 1.0 3.0))) 1 1 (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (log (+ x (/ 1.0 3.0))) (exp (+ x (/ 1.0 3.0))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))) (cbrt (+ x (/ 1.0 3.0))) (pow (+ x (/ 1.0 3.0)) 3) (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)) (fma x x (* (/ 1.0 3.0) (- (/ 1.0 3.0) x))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (expm1 (exp (+ x (/ 1.0 3.0)))) (log1p (exp (+ x (/ 1.0 3.0)))) (exp (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (exp (sqrt (+ x (/ 1.0 3.0)))) E E (exp x) (exp (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (exp (exp (+ x (/ 1.0 3.0)))) (* (cbrt (exp (+ x (/ 1.0 3.0)))) (cbrt (exp (+ x (/ 1.0 3.0))))) (cbrt (exp (+ x (/ 1.0 3.0)))) (pow (exp (+ x (/ 1.0 3.0))) 3) (sqrt (exp (+ x (/ 1.0 3.0)))) (sqrt (exp (+ x (/ 1.0 3.0)))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (* (exp 0.3333333333333333) (+ (fma (* 1/2 x) x 1) x)) (exp (+ x 0.3333333333333333)) (exp (+ x 0.3333333333333333)) 0.858 * * * [progress]: adding candidates to table 0.939 * [progress]: [Phase 3 of 3] Extracting. 0.939 * * [regime]: Finding splitpoints for: (# # # #) 0.939 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (/ 1.0 3.0)) x) 0.939 * * * * [regimes]: Trying to branch on (+ x (/ 1.0 3.0)) from (# # # #) 0.951 * * * * [regimes]: Trying to branch on x from (# # # #) 0.967 * * * [regime]: Found split indices: #